# Items where Academic/Research unit is "Faculty of Engineering and Physical Sciences > Mathematics"

Up a level |

- Academic or Research Unit (653)
- Faculty of Engineering and Physical Sciences (653)
**Mathematics**(653)

- Faculty of Engineering and Physical Sciences (653)

**653**.

## A

Abbott, M, Murugan, J, Prinsloo, AH and Rughoonauth, N
(2014)
*Meromorphic functions and the topology of giant gravitons*
Physics Letters, Section B, 730.
pp. 215-220.

Abreu, Stella, Aston, Philip and Melbourne, Ian
(2005)
*Symmetric Chaos in a Local Codimension Two Bifurcation with the Symmetry Group of a Square*
SIAM Journal on Applied Dynamical Systems, 4 (1).
pp. 32-52.

Abreu, Stella, Aston, Philip J. and Melbourne, Ian
(2005)
*Symmetric Chaos in a Local Codimension Two Bifurcation with the Symmetry Group of a Square*
Dynamical Systems, 4.
pp. 32-52.

Afendikov, Andrei L. and Bridges, Thomas J.
(2001)
*Instability of the Hocking-Stewartson pulse and its implications for three-dimensional Poiseuille flow*
Proceedings of the Royal Society of London A, 457.
pp. 257-272.

Al-Omari, J F and Gourley, S A
(2005)
*A Nonlocal Reaction-Diffusion Model for a Single Species with Stage Structure and Distributed Maturation Delay*
European Journal of Applied Mathematics, 16 (1).

Alemi Ardakani, , Bridges, and Turner, MR
(2016)
*Shallow-water sloshing in a moving vessel with variable cross-section and wetting-drying using an extension of George's well-balanced finite volume solver*
Journal of Computational Physics.

Alemi Ardakani, H, Bridges, TJ and Turner, MR
(2012)
*Resonance in a model for Cooker's sloshing experiment*
European Journal of Mechanics B - Fluids.

Alemi Ardakani, H, Bridges, Thomas and Turner, Matthew
(2012)
*Resonance in a model for Cooker's sloshing experiment*
European Journal of Mechanics B - Fluids, 36 (Nov).
pp. 25-38.

Alemi Ardakani, H and Turner, MR
(2016)
*Numerical simulations of dynamic coupling between shallow-water sloshing and horizontal vessel motion with baffles*
Fluid Dynamics Research, 48 (3), 035504.

Alsheri, Ahuod and Gourley, Stephen
(2017)
*A mathematical model for the transmission of
Louse-Borne Relapsing Fever*
European Journal of Applied Mathematics.

Anghel, A T, Hoyle, Rebecca, Irurzun, I M, Proctor, M R E and King, D A
(2007)
*Theoretical study of pattern formation during the catalytic oxidation of CO on Pt{100} at low pressures*
Journal of Chemical Physics.

Anghel, AT, Hoyle, RB, Irurzun, IM, Proctor, MRE and King, DA
(2007)
*Theoretical study of pattern formation during the catalytic oxidation of CO on Pt{100} at low pressures*
JOURNAL OF CHEMICAL PHYSICS, 127 (16), ARTN 1.

Anthony, P and Zelik, S
(2014)
*Infinite-energy solutions for the Navier-Stokes equations in a strip revisited*
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 13 (4).
pp. 1361-1393.

Ardakani, HA, Bridges, TJ and Turner, MR
(2016)
*Adaptation of f-wave finite volume methods to the two-layer shallow-water equations in a moving vessel with a rigid-lid*
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 296.
pp. 462-479.

Ardakani, HA, Bridges, TJ and Turner, MR
(2015)
*Dynamic coupling between horizontal vessel motion and two-layer shallow-water sloshing*
JOURNAL OF FLUIDS AND STRUCTURES, 59.
pp. 432-460.

Arhosalo, I, Järvenpää, E, Järvenpää, M, Rams, M and Shmerkin, P
(2012)
*Visible parts of fractal percolation*
Proceedings of the Edinburgh Mathematical Society (Series 2), 55 (2).
pp. 311-331.

Arutyunov, G, De Leeuw, M, Suzuki, R and Torrielli, A
(2009)
*Bound state transfer matrix for AdS5×S5 superstring*
Journal of High Energy Physics, 2009 (10).

Arutyunov, G, De Leeuw, M and Torrielli, A
(2010)
*On Yangian and long representations of the centrally extended su(2|2) superalgebra*
Journal of High Energy Physics, 6.

Arutyunov, G, De Leeuw, M and Torrielli, A
(2009)
*Universal blocks of the AdS/CFT$ AdS/CFT scattering matrix*
Journal of High Energy Physics, 5.

Arutyunov, G, de Leeuw, M and Torrielli, A
(2009)
*The bound state S-matrix for AdS(5) x S-5 superstring*
NUCLEAR PHYSICS B, 819 (3).
pp. 319-350.

Ashwin, P., Deane, J. H. B. and Fu, X-C.
(2001)
*Dynamics of a bandpass sigma-delta modulator as a piecewise isometry*
Proceedings of the 2001 IEEE International Symposium on Circuits and Systems, 2001, 3.
pp. 811-814.

Ashwin, P., Fu, X-C. and Deane, J. H. B.
(2003)
*Properties of the invariant disc packing in a model bandpass sigma-delta modulator*
International Journal of Bifurcation and Chaos, 13.
pp. 631-641.

Ashwin, Peter
(1997)
*Cycles homoclinic to chaotic sets; robustness and resonance*
Chaos, 7.
pp. 207-220.

Ashwin, Peter
(1997)
*Elliptic behaviour in the sawtooth standard map*
Physics Letters A, 232 (6).
pp. 409-416.

Ashwin, Peter
(1999)
*Minimal attractors and bifurcations of random dynamical systems*
455.
pp. 2615-2634.

Ashwin, Peter, Aston, Philip J. and Nicol, Matthew
(1998)
*On the unfolding of a blowout bifurcation*
Physica D: Nonlinear Phenomena, 111 (1-4).
pp. 81-95.

Ashwin, Peter, Chambers, W. G. and Petkov, G.
(1997)
*Lossless Digital Filter Overflow Oscillations; Approximation of Invariant Fractals*
International Journal of Bifurcation and Chaos, 7.
pp. 2603-2610.

Ashwin, Peter, Fu, Xin-Chu, Nishkawa, Takashi and Zyczkowski, Karol
(2000)
*Invariant sets for discontinuous parabolic area-preserving torus maps*
Nonlinearity, 13.
pp. 819-835.

Ashwin, Peter and King, G. P.
(1997)
*A study of particle paths in non-axisymmetric Taylor–Couette flows*
Journal of Fluid Mechanics, 338.
pp. 341-362.

Ashwin, Peter and Mei, Zhen
(1998)
*A Numerical Bifurcation Function for Homoclinic Orbits*
SIAM Journal on Numerical Analysis, 35.
pp. 2055-2069.

Ashwin, Peter and Melbourne, Ian
(1997)
*Noncompact drift for relative equilibria and relative periodic orbits*
Nonlinearity, 10.
pp. 595-616.

Ashwin, Peter, Melbourne, Ian and Nicol, Matthew
(1999)
*Drift bifurcations of relative equilibria and transitions of spiral waves*
Nonlinearity, 12.
pp. 741-755.

Ashwin, Peter and Nicol, Matthew
(1997)
*Detection of symmetry of attractors from observations I: theory*
Physica D: Nonlinear Phenomena, 100 (1-2).
pp. 58-70.

Ashwin, Peter and Stone, Emily
(1997)
*Influence of noise near blowout bifurcation*
Physical Review E, 56.
pp. 1635-1641.

Ashwin, Peter, Terry, John R., Thornburg, K. Scott and Roy, Rajarshi
(1998)
*Blowout bifurcation in a system of coupled chaotic lasers*
Physical Review E, 58.

Aston, P, Mulholland, AJ and Tant, KMM
(2016)
*UK Success Stories in Industrial Mathematics*
Springer.
ISBN 3319254529

Aston, PJ
(2012)
*Is radioactive decay really exponential?*
Europhysics Letters, 97 (5), 52001.

Aston, PJ
(1996)
*Nonlinear Mathematics and Its Applications*
Cambridge University Press, Cambridge, UK.
ISBN 0-521-57676-8

Aston, PJ
(2013)
*Reply to the comment by Cleanthes A. Nicolaides*
EPL, 101 (4).

Aston, PJ, Arthur, JG and Tran, HT
(2016)
*Feasibility of parameter estimation in hepatitis C viral dynamics models*
Journal of Inverse and Ill-Posed Problems.

Aston, PJ and Bristow, N
(2013)
*Alternating Period-Doubling Cascades*
Nonlinearity, 26 (9).
pp. 2553-2576.

Aston, PJ and Bristow, N
(2013)
*Erratum: Alternating period-doubling cascades (Nonlinearity (2013) 26 (2553))*
Nonlinearity, 26 (9).
p. 2745.

Aston, PJ, Derks, G, Agoram, BM and van der Graaf, PH
(2014)
*A mathematical analysis of rebound in a target-mediated drug disposition model: I.Without feedback*
Journal of Mathematical Biology, 68 (6).
pp. 1453-1478.

Aston, PJ, Derks, G, Agoram, BM and van der Graaf, PH
(2013)
*A mathematical analysis of rebound in a target-mediated drug disposition model: I.Without feedback.*
J Math Biol, 68 (6).
pp. 1453-1478.

Aston, PJ, Derks, G, Raji, A, Agoram, BM and van der Graaf, PH
(2011)
*Mathematical analysis of the pharmacokinetic-pharmacodynamic (PKPD) behaviour of monoclonal antibodies: predicting in vivo potency.*
J Theor Biol, 281 (1).
pp. 113-121.

Aston, PJ and Junge, O
(2014)
*COMPUTING THE INVARIANT MEASURE AND THE LYAPUNOV EXPONENT FOR ONE-DIMENSIONAL MAPS USING A MEASURE-PRESERVING POLYNOMIAL BASIS*
MATHEMATICS OF COMPUTATION, 83 (288), PII S .
pp. 1869-1902.

Aston, PJ and Melbourne, I
(2006)
*Lyapunov exponents of symmetric attractors*
NONLINEARITY, 19 (10).
pp. 2455-2466.

Aston, PJ, Milliken, PM and Shail, R
(2011)
*The bouncing motion of a superball between a horizontal floor and a vertical wall*
International Journal of Non-Linear Mechanics, 46 (1).
pp. 204-221.

Aston, PJ and Mir, H
(2009)
*Period-doubling/symmetry-breaking mode interactions in iterated maps*
PHYSICA D-NONLINEAR PHENOMENA, 238 (19).
pp. 1992-2002.

Aston, PJ, Nandi, M, Christie, MI and Huang, YH
(2014)
*Comparison of Attractor Reconstruction and HRV Methods for Analysing Blood Pressure Data*
In: Computing in Cardiology 2014, 2014-09-07 - 2014-09-10.

Aston, PJ and Shail, R
(2007)
*The dynamics of a bouncing superball with spin*
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 22 (3).
pp. 291-322.

Aston, Philip, Christie, Mark I, Huang, Ying and Nandi, Manasi
(2018)
*Beyond HRV: attractor reconstruction using the entire cardiovascular waveform data for novel feature extraction*
Physiological Measurement, 39 (2), 024001.

Aston, Philip, Derks, Gerardina, Agoram, BM and van der Graaf, PH
(2016)
*A Mathematical Analysis of Rebound in a Target-Mediated Drug Disposition Model. II. With Feedback*
Journal of Mathematical Biology, 75 (1).
pp. 33-84.

Aston, Philip J and Shail, R
(2007)
*The dynamics of a bouncing superball with spin*
Dynamical Systems, 22 (3).
pp. 291-322.

Aston, Philip J. and Bird, C. M.
(1998)
*Synchronization of coupled systems via parameter perturbations*
Physical Review E, 57.
pp. 2787-2794.

Aston, Philip J., Deane, J. H. B. and Hamill, D. C.
(1997)
*Targeting in systems with discontinuities, with applications to power electronics*
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 44.
pp. 1034-1039.

Aston, Philip J. and Dellnitz, M.
(2003)
*Computation of the dominant Lyapunov exponent via spatial integration using matrix norms*
Proceedings of the Royal Society of London A, 459.
pp. 2933-2955.

Aston, Philip J. and Marriott, P. K.
(1998)
*Waiting time paradox applied to transient times*
Physical Review E, 57.
pp. 1181-1182.

Aston, Philip J. and Shail, Ronald
(2007)
*The dynamics of a bouncing superball with spin*
Dynamical Systems, 22 (3).
pp. 291-322.

## B

Baggio, M, Sax, OO, Sfondrini, A, Stefanski jr, F and Torrielli, Alessandro
(2017)
*Protected string spectrum in AdS3/CFT2 from worldsheet integrability*
Journal of High Energy Physics, 91.

Bailey, Matthew, Derks, Gerardina and Skeldon, Anne
(2018)
*Circle maps with gaps: understanding the dynamics of the two process model for sleep-wake regulation*
European Journal of Applied Mathematics.

Bakhmatov, I, Deger, NS, Gutowski, Jan, Colgain, EO and Yavartanoo, H
(2017)
*Calibrated entanglement entropy*
Journal of High Energy Physics, 117.

Balint, P and Melbourne, I
(2008)
*Decay of Correlations and Invariance Principles for Dispersing Billiards with Cusps, and Related Planar Billiard Flows*
JOURNAL OF STATISTICAL PHYSICS, 133 (3).
pp. 435-447.

Banos, B, Roubtsov, V and Roulstone, I
(2016)
*Monge-Ampère Structures and the Geometry of Incompressible Flows*
Journal of Physics A: Mathematical and Theoretical, 49 (24).

Barge, M, Bruin, H, Jones, L and Sadun, L
(2011)
*Homological Pisot substitutions and exact regularity*
Israel Journal of Mathematics.
pp. 1-20.

Bartuccelli, M, Deane, J and Gentile, G
(2012)
*Attractiveness of periodic orbits in parametrically forced systemswith time-increasing friction*
Journal of Mathematicsl Physics, 53 (10), 102703.
102703-1 - 102703-27.

Bartuccelli, M. V., Blyuss, K. B. and Kyrychko, Y. N.
(2004)
*Length scales and positivity of solutions of a class of reaction-diffusion equations*
Communications on Pure and Applied Analysis, 3.
pp. 25-40.

Bartuccelli, M. V. and Gentile, G.
(2002)
*On a class of integrable time-dependent dynamical systems*
Physics Letters A, 307.
pp. 274-280.

Bartuccelli, M. V., Gentile, G. and Georgiou, K.
(2003)
*KAM theory, Lindstedt series and the stability of the upside-down pendulum*
Discrete and Continuous Dynamical Systems, 9.
pp. 413-426.

Bartuccelli, M. V., Gentile, G. and Georgiou, K.
(2001)
*On the dynamics of a vertically driven damped planar pendulum*
Proceedings of the Royal Society of London A, 457 (3007).
pp. 3007-3022.

Bartuccelli, M. V., Gourley, S. A. and Ilyin, A. A.
(2002)
*Positivity and the attractor dimension in a fourth-order reaction-diffusion equation*
458.
pp. 1431-1446.

Bartuccelli, MV, Deane, JHB and Gentile, G
(2015)
*The high-order Euler method and the spin-orbit model. A fast algorithm for solving differential equations with small and smooth nonlinearity*
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 121 (3).
pp. 233-260.

Bartuccelli, MV and Gibbon, JD
(2011)
*Sharp constants in the Sobolev embedding theorem and a derivation of the Brezis-Gallouet interpolation inequality*
Journal of Mathematical Physics, 52 (9).

Bartuccelli, Michele, Deane, JHB and Gentile, G
(2017)
*Fast numerics for the spin orbit equation with realistic tidal dissipation and constant eccentricity*
Celestial Mechanics and Dynamical Astronomy, 128 (4).
pp. 453-473.

Bartuccelli, Michele, Deane, Jonathan and Gentile, G
(2007)
*Globally and locally attractive solutions for quasi-periodic ally forced systems*
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 328 (1).
pp. 699-714.

Bartuccelli, Michele, Deane, Jonathan and Gentile, G
(2017)
*Periodic and quasi-periodic attractors for the spin-orbit evolution of Mercury with a realistic tidal torque*
Monthly Notices of the Royal Astronomical Society, 469 (1).
pp. 127-150.

Bartuccelli, Michele, Gentile, G and Wright, JA
(2016)
*Stable dynamics in forced systems with sufficiently high/low forcing frequency*
Chaos, 26, 083108.

Bartuccelli, Michele V., Deane, Jonathan H. B., Gentile, G. and Gourley, Stephen A.
(2004)
*Global attraction to the origin in a parametrically driven nonlinear oscillator*
Applied Mathematics and Computation, 153.
pp. 1-11.

Bassetto, A, De Pol, G, Torrielli, A and Vian, F
(2006)
*Area preserving diffeomorphisms and Yang-Mills theory in two noncommutative dimensions*
In: 8th Workshop on Light-Cone QCD and Nonperturbative Hadron Physics, 2005 - ?, Cairns, AUSTRALIA.

Bassetto, A, Nardelli, G and Torrielli, A
(2001)
*Perturbative Wilson loop in two-dimensional non-commutative Yang-Mills theory*
Nuclear Physics B, 617 (1-3).
pp. 308-320.

Bassetto, A, Nardelli, G and Torrielli, A
(2002)
*Scaling properties of the perturbative Wilson loop in two-dimensional non-commutative Yang-Mills theory*
Phys.Rev. D, 66.

Bassetto, A, Pol, GD, Torrielli, A and Vian, F
(2005)
*On the invariance under area preserving diffeomorphisms of noncommutative Yang-Mills theory in two dimensions*
Journal of High Energy Physics (05).

Bassetto, A, Torrielli, A and Valandro, R
(2004)
*One-loop unitarity of string theories in a constant external background and their Seiberg-Witten limit*
Journal of High Energy Physics (01).

Beck, M, Knobloch, J, Lloyd, DJB, Sandstede, B and Wagenknecht, T
(2009)
*Snakes, ladders, and isolas of localized patterns*
SIAM Journal on Mathematical Analysis, 41 (3).
pp. 936-972.

Beck, SW, Gutowski, JB and Papadopoulos, G
(2016)
*AdS5 Backgrounds with 24 Supersymmetries*
The Journal of High Energy Physics.

Bees, M. A. and Hill, N. A.
(1998)
*Non-linear bioconvection in a deep suspension of gyrotactic swimming micro-organisms*
Journal of Mathematical Biology, 38 (2).
pp. 135-168.

Benjamin, T. Brooke and Bridges, Thomas J.
(1997)
*Reappraisal of the Kelvin–Helmholtz problem. Part 1. Hamiltonian structure*
Journal of Fluid Mechanics.

Benjamin, T. Brooke and Bridges, Thomas J.
(1997)
*Reappraisal of the Kelvin–Helmholtz problem. Part 2. Interaction of the Kelvin–Helmholtz, superharmonic and Benjamin–Feir instabilities*
Journal of Fluid Mechanics.

Bennett, D L and Gourley, S A
(2004)
*Global Stability in a Model of the Glucose-Insulin Interaction with Time Delay*
European Journal of Applied Mathematics, 15 (2).

Bennett, D. L. and Gourley, S. A.
(2004)
*Global stability in a model of the glucose-insulin interaction with time delay*
the <i>European Journal of Applied Mathematics</i>, 15.
pp. 203-221.

Benvenuti, S and Pasquetti, S
(2012)
*3D-partition functions on the sphere: exact evaluation and mirror symmetry*
J HIGH ENERGY PHYS.

Bevan, J and Yan, X
(2008)
*Minimizers with topological singularities in two dimensional elasticity*
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 14 (1).
pp. 192-209.

Bevan, JJ
(2011)
*Austenite as a Local Minimizer in a Model of Material Microstructure with a Surface Energy Term*
SIAM Journal on Mathematical Analysis, 43 (2).
pp. 1041-1073.

Bevan, JJ
(2014)
*Explicit examples of Lipschitz, one-homogeneous solutions of log-singular planar elliptic systems*
arXiv.

Bevan, JJ
(2011)
*Extending the Knops-Stuart-Taheri technique to C^{1} weak local minimizers in nonlinear elasticity*
Proceedings of the American Mathematical Society, 139 (5).
pp. 1667-1679.

Bevan, JJ
(2013)
*On double-covering stationary points of a constrained Dirichlet energy*
Annales de l'Institut Henri Poincare / Analyse non lineaire.

Bevan, JJ
(2010)
*On one-homogeneous solutions to elliptic systems with spatial variable dependence in two dimensions*
P ROY SOC EDINB A, 140.
pp. 449-475.

Bevan, JJ
(2017)
*A condition for the Holder regularity of strong local minimizers of a nonlinear elastic energy in two dimensions*
Archive for Rational Mechanics and Analysis.

Bevan, JJ
(2015)
*A remark on a stability criterion for the radial cavitating map in nonlinear elasticity*
Journal of Mathematical Analysis and Applications, 425 (2).
pp. 954-982.

Bevan, JJ and Zeppieri, CI
(2015)
*A simple sufficient condition for the quasiconvexity of elastic stored-energy functions in spaces which allow for cavitation*
arXiv, 1507.0.

Bevan, JJ and Zeppieri, CI
(2016)
*A simple sufficient condition for the quasiconvexity of elastic stored-energy functions in spaces which allow for cavitation*
Calculus of Variations and Partial Differential Equations.

Bevan, Jonathan and Deane, Jonathan
(2018)
*A calibration method for estimating critical cavitation loads from below in 3D nonlinear elasticity*
SIAM Journal on Mathematical Analysis.

Bevan, Jonathan and Kabisch, Sandra
(2017)
*Twists and shear maps in nonlinear elasticity: explicit solutions and vanishing Jacobians*
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Bietenholz, W, Bigarini, A and Torrielli, A
(2007)
*Area-preserving diffeomorphisms in gauge theory on a non-commutative plane: A lattice study*
Journal of High Energy Physics, 2007 (8).

Bilgen, B, Kalantarov, V and Zelik, S
(2015)
*Preventing blow up by convective terms in dissipative PDEs.*
arXiv.

Blyuss, K. B., Bridges, T. J. and Derks, G.
(2003)
*Transverse instability and its long-term development for solitary waves of the (2 + 1) -dimensional Boussinesq equation*
Physical Review E.

Blyuss, KB and Derks, G
(2008)
*Transverse intersection of invariant manifolds in perturbed multi-symplectic systems*
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 23 (2).
pp. 219-256.

Bombardelli, D, Cagnazzo, A, Frassek, R, Levkovich-Maslyuk, F, Loebbert, F, Negro, S, Szecsenyi, IM, Sfondrini, A, van Tongeren, SJ and Torrielli, A
(2016)
*An integrability primer for the gauge-gravity correspondence: an introduction*
Journal of Physics A: Mathematical and Theoretical, 49.

Boon, NJ and Hoyle, RB
(2014)
*Exact dynamic properties of molecular motors (vol 137, 084102, 2012)*
JOURNAL OF CHEMICAL PHYSICS, 141 (9), ARTN 0.

Boon, NJ and Hoyle, RB
(2012)
*Exact dynamic properties of molecular motors.*
J Chem Phys, 137 (8).

Borsato, R, Ohlsson Sax, O, Sfondrini, A, Stefanski, B and Torrielli, A
(2016)
*On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 × S3 × T4*
Journal of Physics A: Mathematical and Theoretical, 50.

Borsato, R, Sax, OO, Sfondrini, A, Stefanski, B and Torrielli, A
(2013)
*Dressing phases of AdS3/CFT2*
Physical Review D, 88.

Borsato, R, Sax, OO, Sfondrini, A, Stefanski, B and Torrielli, A
(2013)
*The all-loop integrable spin-chain for strings on AdS_3 x S^3 x T^4: the massive sector*
The Journal of High Energy Physics, 43.

Borsato, R and Torrielli, Alessandro
(2018)
*q-Poincar´e supersymmetry in AdS5/CF T4*
Nuclear Physics B.

Borsato, Riccardo, Strömwall, Joakim and Torrielli, Alessandro
(2018)
*q-Poincaré invariance of the AdS3/CFT2 R-matrix*
Physical Review D, 97, 066001.
066001-1-066001-17.

Bouchard, V, Klemm, A, Marino, M and Pasquetti, S
(2008)
*Remodeling the B-model*
Communications in Mathematical Physics, 287 (1).
pp. 117-178.

Bouchard, V, Klemm, A, Marino, M and Pasquetti, S
(2010)
*Topological open strings on orbifolds*
Commun.Math.Phys.296:589-623,2010, 296 (3).
pp. 589-623.

Bourouiba, L, Gourley, SA, Liu, RS and Wu, JH
(2011)
*THE INTERACTION OF MIGRATORY BIRDS AND DOMESTIC POULTRY AND ITS ROLE IN SUSTAINING AVIAN INFLUENZA*
SIAM J APPL MATH, 71 (2).
pp. 487-516.

Brevdo, L. and Bridges, Thomas J.
(1997)
*Local and global instabilities of spatially developing flows: cautionary examples*
Proceedings of the Royal Society of London A, 453.
pp. 1345-1364.

Brevdo, Leonid, Laure, Patrice, Dias, Frederic and Bridges, Thomas J.
(1999)
*Linear pulse structure and signalling in a film flow on an inclined plane*
Journal of Fluid Mechanics.

Bridges, T J
(2005)
*Steady Dark Solitary Waves Emerging from Wave-Generated Meanflow: The Role of Modulation Equations*
Chaos: An Interdisciplinary Journal of Nonlinear Science, 15 (3).

Bridges, T J and Donaldson, N M
(2005)
*Degenerate Periodic Orbits and Homoclinic Torus Bifurcation*
Physical Review Letters, 95 (10).

Bridges, T J and Donaldson, N M
(2006)
*Secondary Criticality of Water Waves. Part 1.Definition, Bifurcation and Solitary Waves*
Journal of Fluid Mechanics, 565.
pp. 381-417.

Bridges, T J and Donaldson, N M
(2006)
*Secondary Criticality of Water Waves. Part 2.<br>Unsteadiness and the Benjamin-Feir Instability From the Viewpoint of Hydraulics<br>*
Journal of Fluid Mechanics, 565.
pp. 419-439.

Bridges, T. J.
(2004)
*On the susceptibility of bright nonlinear Schrödinger solitons to long-wave transverse instability*
Proceedings of the Royal Society of London A, 460.
pp. 2605-2615.

Bridges, T. J.
(2005)
*Steady dark solitary waves emerging from wave-generated meanflow: The role of modulation equations*
Chaos: An Interdisciplinary Journal of Nonlinear Science, 037113 (2005).

Bridges, T. J.
(2004)
*Superharmonic Instability, Homoclinic Torus Bifurcation and Water-Wave Breaking*
Journal of Fluid Mechanics, 505.
pp. 153-162.

Bridges, T. J.
(2004)
*Superharmonic instability, homoclinic torus bifurcation and water-wave breaking*
Journal of Fluid Mechanics, 505.
pp. 153-162.

Bridges, T. J.
(2001)
*Transverse instability of solitary-wave states of the water-wave problem*
Journal of Fluid Mechanics.

Bridges, T. J. and Donaldson, N. M.
(2006)
*Secondary criticality of water waves. Part 1. Definition, bifurcation and solitary waves*
Journal of Fluid Mechanics, 565.
pp. 381-417.

Bridges, T. J., Hydon, P. E. and Reich, Sebastien
(2005)
*Vorticity and symplecticity in Lagrangian fluid dynamics*
Journal of Physics A: Mathematical and General, 38 (6).
pp. 1403-1418.

Bridges, T. J. and Laine-Pearson, F. E.
(2005)
*The Long-Wave Instability of Short-Crested Waves, Via Embedding in the Oblique Two-Wave Interaction*
Journal of Fluid Mechanics, 543 (-1).
pp. 147-182.

Bridges, T. J. and Laine-Pearson, Fiona E.
(2004)
*Nonlinear Counterpropagating Waves, Multisymplectic Geometry, and the Instability of Standing Waves*
the <i>SIAM Journal on Applied Mathematics</i>, 64.
pp. 2096-2120.

Bridges, T.J. and Derks, Gianne
(2002)
*Linear Instability of Solitary Wave Solutions of the Kawahara Equation and Its Generalizations*
the <i>SIAM Journal on Mathematical Analysis</i>, 33.
pp. 1356-1378.

Bridges, T.J. and Donaldson, N. M.
(2006)
*Secondary criticality of water waves. Part 2. Unsteadiness and the Benjamin–Feir instability from the viewpoint of hydraulics*
Journal of Fluid Mechanics, 565.
pp. 419-439.

Bridges, T.J. and Laine-Pearson, F. E.
(2005)
*The long-wave instability of short-crested waves, via embedding in the oblique two-wave interaction*
Journal of Fluid Mechanics, 543.
pp. 147-182.

Bridges, TJ
(2014)
*Emergence of dispersion in shallow water hydrodynamics via modulation of uniform flow*
JOURNAL OF FLUID MECHANICS, 761, ARTN R.

Bridges, TJ
(2000)
*Universal Geometric Condition for the Transverse Instability of Solitary Waves*
Physical Review Letters, 84, 12.
pp. 2614-2617.

Bridges, TJ and Dias, F
(2007)
*Enhancement of the Benjamin-Feir instability with dissipation*
PHYSICS OF FLUIDS, 19 (10), ARTN 1.

Bridges, TJ and Donaldson, NM
(2007)
*Reappraisal of criticality for two-layer flows and its role in the generation of internal solitary waves*
PHYSICS OF FLUIDS, 19 (7), ARTN 0.

Bridges, TJ, Groves, MD and Nicholls, DP
(2016)
*Lectures on the Theory of Water Waves*
Cambridge University Press.
ISBN 1107565561

Bridges, TJ, Hydon, PE and Lawson, JK
(2010)
*Multisymplectic structures and the variational bicomplex*
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 148.
pp. 159-178.

Bridges, TJ and Ratliff, DJ
(2015)
*Phase dynamics of periodic waves leading to the Kadomtsev-Petviashvili equation in 3+1 dimensions*
Proceedings of the Royal Society of London: Mathematical, Physical and Engineering Sciences, 471 (2178).

Bridges, Thomas, Pennant, J and Zelik, Sergey
(2014)
*Degenerate Hyperbolic Conservation Laws with Dissipation: Reduction to and Validity of a Class of Burgers-Type Equations*
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 214 (2).
pp. 671-716.

Bridges, Thomas and Ratliff, Daniel
(2016)
*Double criticality and the two-way Boussinesq equation in stratifed shallow water hydrodynamics*
Physics of Fluids, 28 (6), 062103.

Bridges, Thomas and Ratliff, Daniel
(2018)
*Nonlinear modulation near the Lighthill instability threshold in 2+1 Whitham theory*
Philosophical Transactions A.

Bridges, Thomas and Ratliff, Daniel
(2017)
*On the elliptic-hyperbolic transition in whitham modulation theory*
SIAM Journal on Applied Mathematics, 77 (6).
pp. 1989-2011.

Bridges, Thomas J.
(1997)
*Multi-symplectic structures and wave propagation*
the <i>Mathematical Proceedings of the Cambridge Philosophical Society</i>, 121 (01).
pp. 147-190.

Bridges, Thomas J.
(2000)
*Universal Geometric Condition for the Transverse Instability of Solitary Waves*
Physical Review Letters, 84.
pp. 2614-2617.

Bridges, Thomas J.
(1997)
*A geometric formulation of the conservation of wave action and its implications for signature and the classification of instabilities*
Proceedings of the Royal Society of London, 453.
pp. 1365-1395.

Bridges, Thomas J. and Derks, Gianne
(1999)
*Unstable eigenvalues and the linearization about solitary waves and fronts with symmetry*
Proceedings of the Royal Society of London A, 455.
pp. 2427-2469.

Bridges, Thomas J., Dias, F. and Menasce, D.
(2001)
*Steady three-dimensional water-wave patterns on a finite-depth fluid*
Journal of Fluid Mechanics.

Bridges, Thomas J. and Reich, Sebastian
(2001)
*Computing Lyapunov exponents on a Stiefel manifold*
Physica D, 156.
pp. 219-238.

Brizard, AJ and Tronci, C
(2016)
*Variational formulations of guiding-center Vlasov-Maxwell theory*
Physics of Plasmas, 23 (6).

Broomhead, David S., Hadjiloucas, Demetris and Nicol, Matthew
(1999)
*Random and deterministic perturbation of a class of skew-product systems*
Dynamics and Stability of Systems, 14 (2).
pp. 115-128.

Bruin, H
(2011)
*(Non)invertibility of fibonacci-like unimodal maps restricted to their critical omega-limit sets*
Topology Proceedings, 37.
pp. 459-480.

Bruin, H
(2007)
*Renormalization in a class of interval translation maps of d branches*
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 22 (1).
pp. 11-24.

Bruin, H and Deane, JHB
(2009)
*PIECEWISE CONTRACTIONS ARE ASYMPTOTICALLY PERIODIC*
P AM MATH SOC, 137 (4).
pp. 1389-1395.

Bruin, H, Demers, M and Melbourne, I
(2007)
*Existence and convergence properties of physical measures for certain dynamical systems with holes*
Ergodic Theory and Dynamical Systems, 30 (3).
pp. 687-728.
(Unpublished)

Bruin, H and Hawkins, J
(2009)
*Rigidity of smooth one-sided Bernoulli endomorphisms*
New York Journal of Mathematics, 15.
pp. 451-483.

Bruin, H, Holland, M and Melbourne, I
(2005)
*Subexponential Decay of Correlations for Compact Group Extensions of Non-Uniformly Expanding Systems*
Ergodic Theory and Dynamical Systems, 25 (06).

Bruin, H, Holland, M and Nicol, M
(2005)
*Livsic Regularity for Markov Systems*
Ergodic Theory and Dynamical Systems, 25 (06).

Bruin, H and Jimenez Lopez, V
(2010)
*On the Lebesgue Measure of Li-Yorke Pairs for Interval Maps*
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 299 (2).
pp. 523-560.

Bruin, H, Nicol, M and Terhesiu, D
(2009)
*ON YOUNG TOWERS ASSOCIATED WITH INFINITE MEASURE PRESERVING TRANSFORMATIONS*
STOCHASTICS AND DYNAMICS, 9 (4).
pp. 635-655.

Bruin, H, Rivera-Letelier, J, Shen, W and van Strien, S
(2008)
*Large derivatives, backward contraction and invariant densities for interval maps*
INVENTIONES MATHEMATICAE, 172 (3).
pp. 509-533.

Bruin, H and Schleicher, D
(2008)
*Admissibility of kneading sequences and structure of Hubbard trees for quadratic polynomials*
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 78.
pp. 502-522.

Bruin, H, Shen, WX and Van Strien, S
(2006)
*Existence of unique SRB-measures is typical for real unicritical polynomial families*
ANN SCI ECOLE NORM S, 39 (3).
pp. 381-414.

Bruin, H and Todd, M
(2006)
*Complex maps without invariant densities*
NONLINEARITY, 19 (12).
pp. 2929-2945.

Bruin, H and Todd, M
(2011)
*Equilibrium States for Interval Maps: Potentials with sup phi - inf phi < h(top)(f) (vol 283, pg 579, 2008)*
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 304 (2).
pp. 583-584.

Bruin, H and Todd, M
(2007)
*Markov extensions and lifting measures for complex polynomials*
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 27.
pp. 743-768.

Bruin, H and Todd, M
(2009)
*RETURN TIME STATISTICS OF INVARIANT MEASURES FOR INTERVAL MAPS WITH POSITIVE LYAPUNOV EXPONENT*
STOCH DYNAM, 9 (1).
pp. 81-100.

Bruin, H., Lambert, A., Poggiaspalla, G. and S. Vaienti, S.
(2003)
*Numerical analysis for a discontinuous rotation of the torus*
pp. 558-571.

Bruin, H., Luzzatto, S. and van Strien, S.
(2003)
*Decay of correlations in one-dimensional dynamics*
Annales Scientifiques de l’École Normale Supérieure, 36.
pp. 621-646.

Bruin, H., Saussol, B., Troubetzkoy, S. and Vaienti, S.
(2003)
*Return time statistics via inducing*
Dynamical Systems, 23.
pp. 991-1013.

Bruin, H., Shen, W. and van Strien, S.
(2003)
*Invariant Measures Exist Without a Growth Condition*
Communications in Mathematical Physics, 241.
pp. 287-306.

Bruin, H. and Van Noort, M.
(2004)
*Nonconformal perturbations of z to z^{2}+ c: the 1 : 3 resonance*
Nonlinearity, 17.
pp. 765-789.

Bruin, HP, Jakobson, M and Levin, G
(2008)
*New examples of topologically equivalent S-unimodal maps with different metric properties*
Contemporary Mathematics, 469.
pp. 119-139.

Bruin, Henk
(2005)
*Asymptotic arc-components of unimodal inverse limit spaces*
Topology and its applications.
pp. 182-200.

Bruin, Henk, Al-Khal, J and Jakobson, M
(2008)
*New examples of S-unimodal maps with a sigma-finite absolutely continuous invariant measure.*
Discrete and Continuous Dynamical Systems.
pp. 1-2.

Bruin, Henk and Hawkins, Jane
(2001)
*Exactness and maximal automorphic factors of unimodal interval maps*
Dynamical Systems, 21.
pp. 1009-1034.

Bruin, Henk, Holland, Mark and Ian, Melbourne
(2005)
*Subexponential Decay of Correlations for Compact Group Extensions of Nonuniformly Expanding Systems*
Ergodic Theory and Dynamical Systems, 25 (06).
pp. 1719-1738.

Bruin, Henk, Holland, Mark and Nicol, Matthew
(2005)
*Livšic Regularity for Markov Systems*
Ergodic Theory and Dynamical Systems, 25 (06).
pp. 1739-1766.

Bruin, Henk and Luzzatto, Stefano
(2005)
*Topological Invariance of the Sign of the Lyapunov Exponents in One-Dimensional Maps*
Proceedings of the American Mathematical Society, 134.
pp. 265-272.

Bruin, Henk and Luzzatto, Stephano
(2005)
*Topological invariance of the sign of the Lyapunov Exponents in one-dimensional maps*
Proc. Amer. Math. Soc., 134 (1).
pp. 265-272.

Bruin, Henk and Volkova, Oksana
(2005)
*The complexity of fibonacci-like kneading sequences*
Theoretical Computer Science.
pp. 379-389.

Brunner, H, Gourley, Stephen, Liu, R and Xiao, Y
(2017)
*Pauses of larval development and its consequences for stage-structured populations*
SIAM Journal on Applied Mathematics, 77 (3).
pp. 977-994.

Buono, P-L, Lamb, JSW and Roberts, M
(2008)
*Bifurcation and branching of equilibria in reversible-equivariant vector fields*
NONLINEARITY, 21 (4).
pp. 625-660.

Burby, J and Tronci, Cesare
(2017)
*Variational approach to low-frequency kinetic-MHD in the current-coupling scheme*
Plasma Physics and Controlled Fusion, 59 (4), 045013.

Burtscher, AY, Grant, JDE and LeFloch, PG
(2012)
*New Energy Inequalities for Tensorial Wave Equations on Spacetimes that Satisfy a One-Sided Bound*
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 37 (9).
pp. 1596-1619.

## C

Camporeale, E and Tronci, Cesare
(2017)
*Electron inertia and quasi-neutrality in the Weibel instability*
Journal of Plasma Physics, 83 (3), 705830301.

Candelas, Philip, de la Ossa, Xenia and McOrist, Jock
(2017)
*A Metric for Heterotic Moduli*
Communications in Mathematical Physics, 356 (2).
pp. 567-612.

Capasso, V. and Wilson, R. E.
(1997)
*Analysis of a Reaction-Diffusion System Modeling Man--Environment--Man Epidemics*
SIAM Journal on Applied Mathematics, 57.
pp. 327-346.

Caporaso, N, Cirafici, M, Griguolo, L, Pasquetti, S, Seminara, D and Szabo, RJ
(2006)
*Topological Strings, Two-Dimensional Yang-Mills Theory and Chern-Simons Theory on Torus Bundles*
Adv.Theor.Math.Phys., 12 (5).
pp. 981-1058.

Caporaso, N, Cirafici, M, Griguolo, L, Pasquetti, S, Seminara, D and Szabo, RJ
(2006)
*Topological strings and large N phase transitions I: Nonchiral expansion of q-deformed Yang-Mills theory*
JHEP, 0601.
pp. 797-863.

Caporaso, N, Cirafici, M, Griguolo, L, Pasquetti, S, Seminara, D and Szabo, RJ
(2006)
*Topological strings and large N phase transitions II: Chiral expansion of q-deformed Yang-Mills theory*
JHEP, 0601.
pp. 865-915.

Caporaso, N, Griguolo, L, Pasquetti, S and Seminara, D
(2004)
*Non-commutative topologically massive gauge theory*
In: Presented at Deserfest: A Celebration of the Life and Works of Stanley Deser, 3-5 April 2004, Ann Arbor, Michigan.

Caporaso, N and Pasquetti, S
(2006)
*Gauge-Invariant Resummation Formalism and Unitarity in Non-Commutative QED*
JHEP, 0604.

Carpentieri, M, Corti, A and Lombardi, L
(2005)
*Life cycle assessment (LCA) of an integrated biomass gasification combined cycle IBGCQ with CO2 removal*
Energy Conversion and Management, 46 (11-12).
pp. 1790-1808.

Carpentieri, M, Corti, A and Zipoli, L
(2004)
*Wind tunnel experiments of tracer dispersion downwind from a small-scale physical model of a landfill*
Environmental Modelling & Software, 19 (10).
pp. 881-885.

Carpentieri, M, Giambini, P and Corti, A
(2008)
*Modelling tracer dispersion from landfills*
Environmental Modeling and Assessment, 13 (3).
pp. 415-429.

Carpentieri, M, Hayden, P and Robins, AG
(2012)
*Wind tunnel measurements of pollutant turbulent fluxes in urban intersections*
Atmospheric Environment, 46.
pp. 669-674.

Carpentieri, M and Kumar, P
(2011)
*Ground-fixed and on-board measurements of nanoparticles in the wake of a moving vehicle*
Atmospheric Environment, 45 (32).
pp. 5837-5852.

Carpentieri, M and Kumar, P
(2011)
*Ground-fixed and on-board measurements of nanoparticles in the wake of a moving vehicle*
Atmospheric Environment, 45 (32).
pp. 5837-5852.

Carpentieri, M, Kumar, P and Robins, A
(2011)
*An overview of experimental results and dispersion modelling of nanoparticles in the wake of moving vehicles*
Environmental Pollution, 159 (3).
pp. 685-693.

Carpentieri, M and Robins, AG
(2010)
*Tracer Flux Balance at an Urban Canyon Intersection*
Boundary-Layer Meteorology, 135 (2).
pp. 229-242.

Carpentieri, M, Robins, AG and Baldi, S
(2009)
*Three-Dimensional Mapping of Air Flow at an Urban Canyon Intersection*
Boundary-Layer Meteorology, 133 (2).
pp. 277-296.

Carpentieri, Matteo, Salizzoni, P, Robins, Alan and Soulhac, L
(2012)
*Evaluation of a neighbourhood scale, street network dispersion model through comparison with wind tunnel data*
Environmental Modelling and Software, 37.
pp. 110-124.

Cecelja, F
(2014)
*Design and Economic/Environmental Assessment of Bio-refining Supply Chains*
In: 21st Conference on Integrated System Approaches to High Value Manufacturing, CSCST-SCI, 2014-10-25 - ?, Guildford, Surrey, UK.

Chaffey, GS, Lloyd, DJ, Skeldon, AC and Kirkby, NF
(2014)
*The Effect of the G 1 - S transition Checkpoint on an Age Structured Cell Cycle Model.*
PLoS One, 9 (1).

Chaffey, Gary, Lloyd, David, Skeldon, Anne and Kirkby, Norman
(2014)
*The effect of the G1-S transition checkpoint on an age structured cell cycle model.*
PLoS One, 9 (1), e83477.

Chamard, J, Otta, J and Lloyd, DJB
(2011)
*Computation of Minimum Energy Paths for Quasi-Linear Problems*
Journal of Scientific Computing, 49 (2).
pp. 180-194.

Chan, D and Melbourne, I
(2007)
*A geometric characterisation of resonance in Hopf bifurcation from relative equilibria*
PHYSICA D-NONLINEAR PHENOMENA, 234 (2).
pp. 98-104.

Chardard, F and Bridges, TJ
(2015)
*Transversality of homoclinic orbits, the Maslov index and the symplectic Evans function*
NONLINEARITY, 28 (1).
pp. 77-102.

Charlton, PH, Camporota, L, Smith, J, Nandi, M, Christie, M, Aston, PJ and Beale, R
(2015)
*Measurement of cardiovascular state using attractor reconstruction analysis*
In: 23rd European Signal Processing Conference, 2015-08-31 - 2015-09-04, Nice, France.

Cheng, Bin, Cheng, J, Cullen, M, Norbury, J and Turner, Matthew
(2017)
*A rigorous treatment of moist convection in a single column*
SIAM Journal on Mathematical Analysis, 49 (5).
pp. 3854-3892.

Cheng, Bin, Cullen, MJP, Esler, JG, Norbury, J, Turner, Matthew, Vanneste, J and Cheng, J
(2017)
*A Model for Moist Convection in an Ascending Atmospheric Column*
Quarterly Journal of the Royal Meteorological Society, 143 (708).
pp. 2925-2939.

Cheng, Bin, Ju, Q and Schochet, S
(2018)
*Three-Scale Singular Limits of Evolutionary PDEs*
Archive for Rational Mechanics and Analysis.

Cheng, Bin, Qu, P and Xie, C
(2018)
*Singularity formation and global existence of classical solutions for one dimensional rotating shallow water system*
SIMA (SIAM Journal on Mathematical Analysis).

Cheng, Bin, Suli, Endre and Tronci, Cesare
(2017)
*Existence of Global Weak Solutions to a Hybrid Vlasov-MHD Model for Magnetized Plasmas*
Proceedings of the London Mathematical Society, 115 (4).
pp. 854-896.

Chepyzhov, V and Zelik, S
(2015)
*Infinite Energy Solutions for Dissipative Euler Equations in R-2*
Journal of Mathematical Fluid Mechanics, 17 (3).
pp. 513-532.

Chepyzhov, VV, Ilyin, AA and Zelik, SV
(2015)
*Strong trajectory and global W 1,p -attractors for the damped-driven Euler system in R 2.*
arXiv.

Chepyzhov, VV, Vishik, MI and Zelik, Sergey
(2011)
*Strong trajectory attractors for dissipative Euler equations*
Journal des Mathematiques Pures et Appliquees, 96.
pp. 395-407.

Cherfils, L, Miranville, A and Zelik, S
(2014)
*ON A GENERALIZED CAHN-HILLIARD EQUATION WITH BIOLOGICAL APPLICATIONS*
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 19 (7).
pp. 2013-2026.

Chrusciel, PT and Grant, JDE
(2012)
*On Lorentzian causality with continuous metrics*
CLASSICAL AND QUANTUM GRAVITY, 29 (14), ARTN 1.

Chruściel, PT, Grant, JDE and Minguzzi, E
(2013)
*On differentiability of volume time functions*

Chuter, AM, Aston, PJ, Skeldon, AC and Roulstone, I
(2014)
*A dynamical systems analysis of the data assimilation linked ecosystem carbon (DALEC) models*
Chaos, 25 (3), 036401.

Cotter, C J, Holm, D D and Hydon, Peter E
(2007)
*Multisymplectic formulation of fluid dynamics using the inverse map*
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 463 (2086).
pp. 2671-2687.

Cotter, C. J., Holm, D. D. and Hydon, P. E.
(2007)
*Multisymplectic formulation of fluid dynamics using the inverse map*
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 463 (2086).
pp. 2671-2687.

Covas, Eurico, Ashwin, Peter and Tavakol, Reza
(1997)
*Non-normal parameter blowout bifurcation: An example in a truncated mean-field dynamo model*
Physical Review E, 56.
pp. 6451-6458.

Cullen, MJP, Douglas, RJ, Roulstone, I and Sewell, MJ
(2005)
*Generalized semi-geostrophic theory on a sphere*
JOURNAL OF FLUID MECHANICS, 531.
pp. 123-157.

## D

Daniels, PG, Ho, D and Skeldon, AC
(2008)
*Non-linear wavelength selection for pattern-forming systems in channels*
IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 73 (6).
pp. 873-901.

Daniels, PG, Ho, D and Skeldon, AC
(2003)
*Solutions for nonlinear convection in the presence of a lateral boundary*
PHYSICA D-NONLINEAR PHENOMENA, 178 (1-2).
pp. 83-102.

Deane, J. H. B.
(1999)
*From circuits to spectral peaks*
5.
pp. 274-277.

Deane, Jonathan and Bevan, Jonathan
(2018)
*A hydrostatic model of the Wirtz pump*
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Deane, Jonathan H. B., Ashwin, Peter, Hamill, David C. and Jefferies, David J.
(1999)
*Calculation of the periodic spectral components in a chaotic DC-DC converter*
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 46.
pp. 1313-1319.

Deane, Jonathan H. B. and Jefferies, David J.
(1998)
*Succinct representation of the Poincare map for periodically driven differential equations*
Complexity International, 6.

Delahaies, S and Hydon, PE
(2011)
*Multi-symplectic formulation of near-local Hamiltonian balanced models*
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 467 (2136).
pp. 3424-3442.

Delahaies, S and Roulstone, I
(2010)
*Hyper-Kahler geometry and semi-geostrophic theory*
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 466 (2113).
pp. 195-211.

Delahaies, Sylvain, Roulstone, Ian and Nichols, N
(2017)
*Constraining DALEC v2 using multiple data streams and ecological
constraints: analysis and application.*
Geoscientific Model Development, 10 (7).
pp. 2635-2650.

Dempster, P, Errington, D, Gutowski, Jan and Mohaupt, T
(2016)
*Five-dimensional Nernst branes from special geometry*
Journal of High Energy Physics, 114.

Derks, G, Doelman, A, Knight, CJK and Susanto, H
(2010)
*Pinned fluxons in a Josephson junction with a finite length inhomogeneity*
European Journal of Applied Mathematics.
pp. 1-44.

Derks, G, Doelman, A, van Gils, S A and Susanto, H
(2007)
*Stability Analysis of π-Kinks in a 0-π Josephson Junction*
SIAM Journal on Applied Dynamical Systems, 6 (1).
pp. 99-141.

Derks, G, Doelman, A, van Gils, SA and Susanto, H
(2007)
*Stability analysis of pi-kinks in a 0-pi Josephson junction*
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 6 (1).
pp. 99-141.

Derks, G, Ebert, U and Meulenbroek, B
(2008)
*Laplacian Instability of Planar Streamer Ionization Fronts - An Example of Pulled Front Analysis*
JOURNAL OF NONLINEAR SCIENCE, 18 (5).
pp. 551-590.

Derks, G, Ebert, U and Meulenbroek, B
(2008)
*Laplacian instability of planar streamer ionization fronts-An example of pulled front analysis*
Journal of Nonlinear Science, 18 (5).
pp. 551-590.

Derks, G and Gaeta, G
(2011)
*A minimal model of DNA dynamics in interaction with RNA-Polymerase*
Physica D: Nonlinear Phenomena, 240 (22).
pp. 1805-1817.

Derks, G, Knight, CJK, Doelman, A and Susanto, H
(2012)
*Pinned fluxons in a Josephson junction with a finite-length inhomogeneity*
European Journal of Applied Mathematics, 23 (2).
pp. 201-244.

Derks, G, Maad, S and Sandstede, B
(2008)
*Perturbations of embedded eigenvalues for the bilaplacian on a cylinder*
DISCRETE CONT DYN S, 21 (3).
pp. 801-821.

Derks, G, Maad Sasane, S and Sandstede, B
(2011)
*Perturbations of embedded eigenvalues for the planar bilaplacian*
Journal of Functional Analysis, 260 (2).
pp. 340-398.

Derks, G.
(2014)
*Stability of Fronts in Inhomogeneous Wave Equations*
ACTA APPLICANDAE MATHEMATICAE, 137 (1).
pp. 61-78.

Derks, Gianne, Doelman, A., van Gils, S. A. and Susanto, H.
(2007)
*Stability analysis of p-kinks in a 0-p Josephson junction*
SIAM Journal on Applied Dynamical Systems, 6 (1).
pp. 99-141.

Derks, Gianne and Gottwald, Georg A
(2005)
*A Robust Numerical Method to Study Oscillatory Instability of Gap Solitary Waves*
SIAM Journal on Applied Dynamical Systems, 4 (1).
pp. 140-158.

Derks, Gianne and Gottwald, Georg A.
(2005)
*A robust numerical method to study oscillatory instability of gap solitary waves*
Dynamical Systems, 4.
pp. 140-158.

Derks, Gianne and Ratiu, Tudor
(1998)
*Attracting curves on families of stationary solutions in two-dimensional Navier-Stokes and reduced magnetohydrodynamics*
Proceedings of the Royal Society of London A, 454.
pp. 1407-1444.

Derks, Gianne and van Groesen, E.
(1996)
*Dissipation in Hamiltonian systems: decaying cnoidal waves*
SIAM Journal on Mathematical Analysis, 27.
pp. 1424-1447.

Dionne, B, Silber, M and Skeldon, AC
(1998)
*Stability Results for Steady, Spatially--Periodic Planforms*
Nonlinearity, 10 (2), 321.

Dorn, H, Salizzoni, M and Torrielli, A
(2006)
*D-branes in overcritical electric fields*
PHYSICAL REVIEW D, 73 (2).

Dorn, H and Torrielli, A
(2004)
*Loop Equation in Two-dimensional Noncommutative Yang-Mills Theory*
Journal of High Energy Physics, 01.

Dunajski, M, Gutowski, Jan and Sabra, W
(2017)
*Einstein-Weyl spaces and near-horizon geometry*
Classical and Quantum Gravity, 34 (4).

Dunajski, Maciej, Gutowski, Jan and Sabra, Wafic
(2018)
*A note on the Hyper-CR equation, and gauged N = 2 supergravity*
Physics Letters B, 780.
pp. 166-168.

de Haro, S, Ramgoolam, S and Torrielli, A
(2007)
*Large N expansion of q-deformed two-dimensional Yang-Mills theory and Hecke algebras*
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 273 (2).
pp. 317-355.

de Mello Koch, R, Mohammed, BAE, Murugan, J and Prinsloo, A
(2012)
*Beyond the planar limit in ABJM*
The Journal of High Energy Physics, 1205, arXiv:.

## E

Ebert, U, Brau, F, Derks, G, Hundsdorfer, W, Kao, C-Y, Li, C, Luque, A, Meulenbroek, B, Nijdam, S, Ratushnaya, V, Schaefer, L and Tanveer, S
(2011)
*Multiple scales in streamer discharges, with an emphasis on moving boundary approximations*
NONLINEARITY, 24 (1).
C1-C26.

Ebert, U and Derks, G
(2008)
*Comment on "Mechanism of Branching in Negative Ionization Fronts''*
AMER PHYSICAL SOC.

Ebert, U and Derks, G
(2008)
*Comment on "Mechanism of Branching in Negative Ionization Fronts''*
PHYSICAL REVIEW LETTERS, 101 (13), ARTN 1.

Eden, A, Kalanarov, V and Zelik, S
(2011)
*Counterexamples to the regularity of Mane projections and global attractors*
arXiv.

Eden, A, Kalantarov, VK and Zelik, SV
(2012)
*Global solvability and blow up for the convective Cahn-Hilliard equations with concave potentials*
Journal of Mathematical Physics, 54.

Eden, A, Kalantarov, VK and Zelik, Sergey
(2010)
*Infinite energy solutions for the Cahn-Hilliard equation in cylindrical domains*
arXiv.

Edwards, CM and Chapman, SJ
(2007)
*Biomechanical modelling of colorectal crypt budding and fission*
BULLETIN OF MATHEMATICAL BIOLOGY, 69 (6).
pp. 1927-1942.

Edwards, CM, Howison, SD, Ockendon, H and Ockendon, JR
(2008)
*Non-classical shallow water flows*
IMA JOURNAL OF APPLIED MATHEMATICS, 73 (1).
pp. 137-157.

Edwards, CM and Schwarz, US
(2011)
*Force localization in contracting cell layers*
Physical Review Letters, 107 (12).

Efendiev, M and Zelik, S
(2008)
*Finite- and infinite-dimensional attractors for porous media equations*
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 96.
pp. 51-77.

Efendiev, M and Zelik, S
(2011)
*Global attractor and stabilization for a coupled PDE-ODE system*
arXiv.

Efendiev, MA, Zelik, SV and Eberl, HJ
(2009)
*Existence and longtime behavior of a biofilm model*
Communications on Pure and Applied Analysis, 8 (2).
pp. 509-531.

Eley, Karen, Hayward, Richard, Dunaway, David and Young, Karen
(2009)
*The Evaluation of Bony Union After
Frontofacial Distraction*
J Craniofac Surg 2009, 20 (2).
pp. 275-278.

Ezard, THG, Prizak, R and Hoyle, RB
(2014)
*The fitness costs of adaptation via phenotypic plasticity and maternal effects*
Functional Ecology, 28 (3).
pp. 693-701.

## F

Falconer, I, Gottwald, GA, Melbourne, I and Wormnes, K
(2007)
*Application of the 0-1 test for chaos to experimental data*
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 6 (2).
pp. 395-402.

Farkas, JZ, Gourley, Stephen, Liu, R and Yakubu, A-A
(2017)
*Modelling Wolbachia infection in a sex-structured mosquito population carrying West Nile virus*
Journal of Mathematical Biology, 75 (3).
pp. 621-647.

Ferruzzo Correa, DP, Piqueira, JRC and Wulff, C
(2014)
*Symmetric bifurcation analysis of synchronous states of time-delayed coupled Phase-Locked Loop oscillators*
Communications in Nonlinear Science and Numerical Simulation.

Field, M, Melbourne, I and Torok, A
(2007)
*Stability of mixing and rapid mixing for hyperbolic flows*
ANNALS OF MATHEMATICS, 166 (1).
pp. 269-291.

Field, M, Melbourne, I and Torok, A
(2005)
*Stable Ergodicity for Smooth Compact Lie Group Extensions of Hyperbolic Basic Sets*
Ergodic Theory and Dynamical Systems, 25 (2).

Field, M., Melbourne, I., Nicol, M. and Török, A.
(2005)
*Statistical properties of compact group extensions of Hyperbolic flows and their time one maps*
Disc. Cont. Dyn. Syst., 12 (2005).

Field, Michael, Melbourne, Ian and Török, Andrei
(2005)
*Stable ergodicity for smooth compact Lie group extensions of hyperbolic basic sets*
Dynamical Systems, 25.
pp. 517-551.

Field, Michael, Melbourne, Ian and Török, Andrew
(2003)
*Decay of correlations, central limit theorems and approximation by Brownian motion for compact Lie group extensions*
Dynamical Systems, 23.
pp. 87-110.

Fisher, DJ, Gray, RJ and Hydon, PE
(2013)
*Automorphisms of real Lie algebras of dimension five or less*
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 46 (22), ARTN 2.

Fontanella, A and Torrielli, A
(2016)
*Massless sector of AdS3 superstrings: a geometric interpretation*
Physical Review D - Particles, Fields, Gravitation, and Cosmology, 94 (6).

Fontanella, Andrea and Gutowski, Jan
(2017)
*Moduli Spaces of transverse deformations of near-horizon geometries*
Journal of Physics A: Mathematical and Theoretical, 50 (21), 215202.

Fontanella, Andrea and Torrielli, Alessandro
(2017)
*Massless AdS2 scattering and Bethe Ansatz*
Journal of High Energy Physics, 75.

Forbes, RG, Deane, JHB, Hamid, N and Sim, HS
(2004)
*Extraction of emission area from Fowler-Nordheim plots*
JOURNAL OF VACUUM SCIENCE & TECHNOLOGY B, 22 (3).
pp. 1222-1226.

Forbes, RG, Deane, JHB and Shail, RW
(2007)
*Exact mathematical solution for the principal field emission correction function nu used in Standard Fowler-Nordheim theory*
In: 20th International Vacuum Nanoelectronics Conference, 2007-07-08 - 2007-07-12, Chicago, IL.

Froyland, Gary and Santitissadeekorn, Naratip
(2017)
*Optimal mixing enhancement*
SIAM Journal on Applied Mathematics, 77 (4).
pp. 1444-1470.

## G

Gammack, David and Hydon, Peter E.
(2001)
*Flow in pipes with non-uniform curvature and torsion*
Journal of Fluid Mechanics, 433.
pp. 357-382.

Gavin, Christine, Aston, Philip and Derks, Gianne
(2016)
*Extending Slow Manifolds Near a Degenerate Transcritical Intersection in Three Dimensions*
Extended Abstracts Spring 2016..
pp. 65-70.

Gentile, G, Bartuccelli, Michele and Deane, Jonathan
(2006)
*Quasiperiodic attractors, Borel summability and the Bryuno condition for strongly dissipative systems*
JOURNAL OF MATHEMATICAL PHYSICS, 47 (7), 072702.

Gentile, G, Bartuccelli, Michele and Deane, Jonathan
(2005)
*Summation of divergent series and Borel summability for strongly dissipative equations with periodic or quasi-periodic forcing terms*
Journal of Mathematical Physics.

Ghazaryan, A and Sandstede, Bjorn
(2007)
*Nonlinear convective instability of Turing-unstable fronts near onset: A case study.*
Dynamical Systems.
pp. 319-347.

Gibbon, JD, Holm, DD, Kerr, RM and Roulstone, I
(2006)
*Quaternions and particle dynamics in the Euler fluid equations*
NONLINEARITY, 19 (8).
pp. 1969-1983.

Giovannoni, D, Murugan, J and Prinsloo, A
(2011)
*The giant graviton on AdS4xCP3 - another step towards the emergence of geometry*
The Journal of High Energy Physics, 1112, arXiv:.

Gloubitsky, M., LeBlanc, V. G. and Melbourne, Ian
(2000)
*Hopf Bifurcation from Rotating Waves and Patterns in Physical Space*
Journal of Nonlinear Science, 10 (1).
pp. 69-101.

Godolphin, JD
(2015)
*A Link between the E-value and the Robustness of Block Designs*
Journal of the American Statistical Association.

Godolphin, JD
(2009)
*New formulations for recursive residuals as a diagnostic tool in the fixed-effects linear model with design matrices of arbitrary rank*
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 53 (6).
pp. 2119-2128.

Godolphin, JD
(2013)
*On the Connectivity Problem for m -Way Designs*
Journal of Statistical Theory and Practice, 7 (4).
pp. 732-744.

Godolphin, JD and Godolphin, EJ
(2015)
*The Use of Treatment Concurrences to Assess Robustness of Binary Block Designs Against the Loss of Whole Blocks*
Australian and New Zealand Journal of Statistics, 57 (2).
pp. 225-239.

Godolphin, JD and Godolphin, EJ
(2015)
*The robustness of resolvable block designs against the loss of whole blocks or replicates*
Journal of Statistical Planning and Inference, 163.
pp. 34-42.

Godolphin, JD and Warren, HR
(2011)
*Improved conditions for the robustness of binary block designs against the loss of whole blocks*
Journal of Statistical Planning and Inference.

Godolphin, JD and Warren, HR
(2011)
*Improved conditions for the robustness of binary block designs against the loss of whole blocks*
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 141 (11).
pp. 3498-3505.

Godolphin, JD and Warren, HR
(2014)
*An efficient procedure for the avoidance of disconnected incomplete block designs*
Computational Statistics and Data Analysis, 71.
pp. 1134-1146.

Godolphin, Janet
(2017)
*Designs with Blocks of Size Two and Applications to Microarray Experiments*
Annals of Statistics.

Godolphin, Janet
(2018)
*A note on the robustness of PBIBD(2)s against breakdown in the event 2 of observation loss*
Australian and New Zealand Journal of Statistics.

Golubitsky, M., LeBlanc, V. G. and Melbourne, Ian
(1997)
*Meandering of the Spiral Tip: An Alternative Approach*
Journal of Nonlinear Science, 7 (6).
pp. 557-586.

Golubitsky, Martin, Mao, Jian-Min and Nicol, Matthew
(1996)
*Symmetries of periodic solutions for planar potential systems*
Proceedings of the American Mathematical Society, 124.
pp. 3219-3228.

Gottwald, G A and Melbourne, I
(2008)
*Comment on "Reliability of the 0-1 Test for Chaos"*
Physical Review E, 77 (2).

Gottwald, GA and Melbourne, I
(2008)
*Comment on "Reliability of the 0-1 test for chaos"*
PHYSICAL REVIEW E, 77 (2), ARTN 0.

Gottwald, GA and Melbourne, I
(2009)
*On the Implementation of the 0-1 Test for Chaos*
SIAM J APPL DYN SYST, 8 (1).
pp. 129-145.

Gottwald, GA and Melbourne, I
(2009)
*On the validity of the 0-1 test for chaos*
NONLINEARITY, 22 (6).
pp. 1367-1382.

Gottwald, Georg and Melbourne, Ian
(2008)
*Comment on "Reliability of the 0-1 test for chaos"*
Physical Review E, 77 (028201).

Gottwald, Georg A. and Melbourne, Ian
(2004)
*A new test for chaos in deterministic systems*
Proceedings of the Royal Society of London A, 460.
pp. 603-611.

Gourley, S A and Kuang, Y
(2005)
*A Delay Reaction-Diffusion Model of the Spread of Bacteriophage Infection*
SIAM Journal on Applied Mathematics, 65 (2).
pp. 550-566.

Gourley, SA and Kuang, Y
(2009)
*Dynamics of a neutral delay equation for an insect population with long larval and short adult phases*
JOURNAL OF DIFFERENTIAL EQUATIONS, 246 (12).
pp. 4653-4669.

Gourley, SA, Li, J and Zou, X
(2016)
*A mathematical model for biocontrol of the invasive weed Fallopia japonica*
Bulletin of Mathematical Biology, 78 (8).
pp. 1678-1702.

Gourley, SA, Liu, R and Wu, J
(2011)
*Slowing the evolution of insecticide resistance in mosquitoes: a mathematical model*
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 467 (2132).
pp. 2127-2148.

Gourley, SA, Liu, RS and Wu, JH
(2010)
*Spatiotemporal Distributions of Migratory Birds: Patchy Models with Delay*
SIAM J APPL DYN SYST, 9 (2).
pp. 589-610.

Gourley, SA and Ruan, S
(2011)
*A delay equation model for oviposition habitat selection by mosquitoes.*
J Math Biol.

Gourley, SA, Thieme, HR and van den Driessche, P
(2011)
*STABILITY AND PERSISTENCE IN A MODEL FOR BLUETONGUE DYNAMICS*
SIAM J APPL MATH, 71 (4).
pp. 1280-1306.

Gourley, SA and Zou, XF
(2008)
*A mathematical model for the control and eradication of a wood boring beetle infestation*
SIAM J APPL MATH, 68 (6).
pp. 1665-1687.

Gourley, Stephen, Lai, X, Shi, J, Wang, W, Xiao, Y and Zou, X
(2018)
*Role of white-tailed deer in geographic spread of the black-legged tick Ixodes scapularis : analysis of a spatially nonlocal model*
Mathematical Biosciences and Engineering.

Gourley, Stephen A, Liu, Rongsong and Wu, Jianhong
(2007)
*Some Vector Borne Diseases With Structured Host Populations: Extinction and Spatial Spread*
SIAM Journal on Applied Mathematics, 67 (2).
pp. 408-433.

Gourley, Stephen A., Liu, R. and Wu, J.
(2007)
*Some vector borne diseases with structured host populations: extinction and spatial spread*
SIAM Journal on Applied Mathematics, 67 (2).
pp. 408-433.

Graf, M, Grant, James, Kunzinger, M and Steinbauer, R
(2017)
*The Hawking–Penrose singularity theorem for C1,1-Lorentzian*
Communications in Mathematical Physics.

Grant, J and Tod, P
(2015)
*Valiente Kroon’s obstructions to smoothness at infinity*
General Relativity and Gravitation, 47, 3.
Art. 18-7.

Grant, JDE
(2010)
*The ADHM Construction and Non-local Symmetries of the Self-dual Yang-Mills Equations*
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 296 (2).
pp. 405-428.

Grant, JDE
(2011)
*Areas and Volumes for Null Cones*
ANNALES HENRI POINCARE, 12 (5).
pp. 965-985.

Grant, JDE
(2010)
*Reducible Connections and Non-local Symmetries of the Self-dual Yang-Mills Equations*
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 296 (2).
pp. 429-446.

Grant, JDE
(2011)
*Synthetic geometry and generalised functions*
Novi Sad Journal of Mathematics, 41, 1.
pp. 75-84.

Grant, JDE and Lackey, BC
(2012)
*On Galilean connections and the first jet bundle*
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 10 (5).
pp. 1889-1895.

Grant, JDE and Lefloch, PG
(2014)
*Null injectivity estimate under an upper bound on the curvature*
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 22 (5).
pp. 965-996.

Grant, JDE, Mayerhofer, E and Steinbauer, R
(2009)
*The Wave Equation on Singular Space-Times*
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 285 (2).
pp. 399-420.

Grant, JDE and Tassotti, N
(2014)
*A positive mass theorem for low-regularity Riemannian metrics*

Grant, JDE and Tassotti, N
(2012)
*A positive mass theorem for low-regularity metrics*

Grant, JDE and Vickers, JA
(2009)
*Block diagonalization of four-dimensional metrics*
CLASSICAL AND QUANTUM GRAVITY, 26 (23), ARTN 2.

Grant, TJ and Hydon, PE
(2013)
*Characteristics of Conservation Laws for Difference Equations*
Foundations of Computational Mathematics, 13 (4).
pp. 667-692.

Grasselli, M, Miranville, A, Pata, V and Zelik, S
(2007)
*Well-posedness and long time behavior of a parabolic-hyperbolic phase-field system with singular potentials*
MATHEMATISCHE NACHRICHTEN, 280 (13-14).
pp. 1475-1509.

Grasselli, M, Schimperna, G, Segatti, A and Zelik, S
(2009)
*On the 3D Cahn-Hilliard equation with inertial term*
JOURNAL OF EVOLUTION EQUATIONS, 9 (2).
pp. 371-404.

Grasselli, M, Schimperna, G and Zelik, S
(2010)
*Trajectory and smooth attractors for Cahn-Hilliard equations with inertial term*
NONLINEARITY, 23 (3).
pp. 707-737.

Grenier, Emmanuel, Jones, Christopher K. R. T., Rousset, Frederic and Sandstede, Björn
(2004)
*Viscous perturbations of marginally stable Euler flow and finite-time Melnidov theory*
Nonlinearity, 18 (2).
pp. 465-483.

Groves, MD, Lloyd, David and Stylianou, A
(2017)
*Pattern formation on the free surface of a ferrofluid: spatial dynamics and homoclinic bifurcation*
Physica D: Nonlinear Phenomena, 350.
pp. 1-12.

Grudzien, CJ, Bridges, TJ and Jones, CKRT
(2016)
*Geometric phase in the Hopf bundle and the stability of non-linear waves*
Physica D: Nonlinear Phenomena, 334.
pp. 4-18.

Gutowski, Jan and Papadopoulos, G
(2017)
*On supersymmetric AdS6 solutions in 10 and
11 dimensions*
Journal of High Energy Physics, 2017 (9).

## H

Hadjiloukas, D., Nicol, Matthew and Walkden, C.
(2002)
*Regularity of invariant graphs over hyperbolic systems*
Dynamical Systems, 22.
pp. 469-482.

Hamill, David C., Deane, Jonathan H. B. and Aston, Philip J.
(1997)
*Some applications of chaos in power converters*
IEE Colloquium: Update on New Power Electronic Techniques (Digest No: 1997/091.

Hamilton, A, Murugan, J and Prinsloo, A
(2010)
*Lessons from giant gravitons on AdS5×T11*
The Journal of High Energy Physics, 1006, arXiv:.

Hamilton, A, Murugan, J and Prinsloo, A
(2008)
*A note on the universality of the Hagedorn behavior of pp-wave strings*
The Journal of High Energy Physics, 0802, arXiv:.

Hamilton, A, Murugan, J, Prinsloo, A and Strydom, M
(2009)
*A Note on dual giant gravitons in AdS4×CP3*
The Journal of High Energy Physics, 0904, arXiv:.

Heckenberger, I, Spill, F, Torrielli, A and Yamane, H
(2008)
*Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid*
RIMS Kokyuroku Bessatsu (B8).
pp. 171-216.

Herrera-Sucarrat, E, Palmer, PL and Roberts, RM
(2014)
*Asteroid Observation and Landing Trajectories Using Invariant Manifolds*
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 37 (3).
pp. 907-920.

Herrera-Sucarrat, E, Palmer, PL and Roberts, RM
(2013)
*Modeling the Gravitational Potential of a Nonspherical Asteroid*
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 36 (3).
pp. 790-798.

Hochman, M and Shmerkin, P
(2012)
*Local entropy averages and projections of fractal measures*
Annals of Mathematics, 175 (3).
pp. 1001-1059.

Horri, NM, Palmer, P and roberts, M
(2012)
*Gain scheduled switched inverse optimal satellite attitude control*
IEEE Transactions on Aerospace and Electronic Systems, 48 (3).
pp. 2437-2457.

Hoveijn, I, Lamb, JSW and Roberts, RM
(2003)
*Normal forms and unfoldings of linear systems in eigenspaces of (anti)-automorphisms of order two*
JOURNAL OF DIFFERENTIAL EQUATIONS, 190 (1), PII S0.
pp. 182-213.

Hoyle, R B, Anghel, A T, Proctor, M R and King, D A
(2007)
*Pattern Formation During the Oxidation of CO on Pt{100}: A Mesoscopic Model*
Physical Review Letters, 98 (22).

Hoyle, RB
(2004)
*Shapes and cycles arising at the steady bifurcation with icosahedral symmetry*
PHYSICA D-NONLINEAR PHENOMENA, 191 (3-4).
pp. 261-281.

Hoyle, RB, Anghel, AT, Proctor, MRE and King, DA
(2007)
*Pattern formation during the oxidation of CO on Pt{100}: A mesoscopic model*
PHYSICAL REVIEW LETTERS, 98 (22), ARTN 2.

Hoyle, RB, Avitabile, D and Kierzek, AM
(2012)
*Equation-free analysis of two-component system signalling model reveals the emergence of co-existing phenotypes in the absence of multistationarity.*
PLoS Computational Biology, 8 (6).

Hoyle, RB and Ezard, TH
(2012)
*The benefits of maternal effects in novel and in stable environments.*
Journal of the Royal Society Interface, 9 (75).
pp. 2403-2413.

Hoyle, Rebecca, Anghel, A. T., Proctor, M. R.E. and King, D. A.
(2007)
*Pattern formation during the oxidation of CO on Pt{100}: a mesoscopic model*
Physical Review Letters, 98 (226102).

Hoyle, Rebecca B.
(2000)
*Cross-Newell equations for hexagons and triangles*
Physical Review E, 61 (3).
pp. 2506-2512.

Hoyle, Rebecca B.
(1998)
*Zigzag and Eckhaus instabilities in a quintic-order nonvariational Ginzburg-Landau equation*
Physical Review E, 58 (6).
pp. 7315-7318.

Hoyle, Rebecca B. and Mehta, Anita
(1999)
*Two-Species Continuum Model for Aeolian Sand Ripples*
Physical Review Letters, 83 (24).
pp. 5170-5173.

Hoyle, Rebecca B. and Woods, A. W.
(1997)
*Analytical model of propagating sand ripples*
Physical Review E, 56.
pp. 6861-6868.

Huang, Ying and Turner, Matthew
(2017)
*Dynamic fluid sloshing in a one-dimensional
array of coupled vessels.*
Physical Review Fluids, 2 (12), 124801.

Hydon, P. E.
(1998)
*Discrete point symmetries of ordinary differential equations*
Proceedings of the Royal Society of London A, 454.
pp. 1961-1972.

Hydon, P. E.
(2000)
*How to construct the discrete symmetries of partial differential equations*
European Journal of Applied Mathematics, 11.
pp. 515-527.

Hydon, P. E.
(2000)
*Symmetries and first integrals of ordinary difference equations*
Proceedings of the Royal Society of London A, 456.
pp. 2835-2855.

Hydon, PE and Mansfield, EL
(2011)
*Extensions of Noether's Second Theorem: from continuous to discrete systems*
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 467 (2135).
pp. 3206-3221.

Hydon, PE and Viallet, C-M
(2010)
*Asymmetric integrable quad-graph equations*
APPLICABLE ANALYSIS, 89 (4), PII 91.
pp. 493-506.

Hydon, Peter E.
(1998)
*How to Find Discrete Contact Symmetries*
Journal of Nonlinear Mathematical Physics, 5.
pp. 405-416.

Hydon, Peter E.
(2004)
*Self-Invariant Contact Symmetries*
Journal of Non-linear Mathematical Physics, 11 (2).
pp. 233-242.

## I

Ilyin, A, Laptev, A, Loss, M and Zelik, S
(2015)
*One-dimensional interpolation inequalities, Carlson--Landau inequalities and magnetic Schrodinger operators*
International Mathematics Research Notices.

Ilyin, A, Laptev, A and Zelik, S
(2015)
*Sharp interpolation inequalities for discrete operators and applications*
BULLETIN OF MATHEMATICAL SCIENCES, 5 (1).
pp. 19-57.

Ilyin, A, Laptev, A and Zelik, S
(2015)
*Sharp interpolation inequalities for discrete operators and applications*
BULLETIN OF MATHEMATICAL SCIENCES, 5 (1).
pp. 19-57.

Innocenti, ME, Tronci, C, Markidis, S and Lapenta, G
(2016)
*Grid coupling mechanism in the semi-implicit adaptive Multi-Level Multi-Domain method*
In: 10th International Conference on Numerical Modeling of Space Plasma Flows: ASTRONUM-2015, 2015-06-08 - 2015-06-12, Avignon, France.

## J

Jefferies, David J. and Deane, Jonathan H. B.
(1997)
*Noise, traps and snags in iterating systems*
Proceedings of the 1997 European Conference on Circuit Theory and Design(ECCTD’97).

Jefferies, David J. and Deane, Jonathan H. B.
(1998)
*The Variable Structure System: Intermittency, Chaos, and Trapping in Electronic Experiments and Simulations*
Complexity International, 6 (1998).

Jordan, T, Shmerkin, P and Solomyak, B
(2011)
*Multifractal structure of Bernoulli convolutions*
Cambridge Philosophical Society. Mathematical Proceedings, 151 (3).
pp. 121-139.

## K

Kaenmaki, A and Morris, Ian
(2017)
*Structure of equilibrium states on self-affine sets and strict
monotonicity of affinity dimension*
Proceedings of the London Mathematical Society.

Kalantarov, V, Savostianov, A and Zelik, S
(2013)
*Attractors for damped quintic wave equations in bounded domains*

Kalantarov, V and Zelik, S
(2009)
*Finite-dimensional attractors for the quasi-linear strongly-damped wave equation*
JOURNAL OF DIFFERENTIAL EQUATIONS, 247 (4).
pp. 1120-1155.

Kalantarov, V and Zelik, S
(2015)
*A note on a strongly damped wave equation with fast growing nonlinearities*
JOURNAL OF MATHEMATICAL PHYSICS, 56 (1), ARTN 0.

Kalantarov, VK and Zelik, S
(2011)
*Smooth Attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities*
arXiv.

Kanesaki, T, Edwards, CM, Schwarz, US and Grosshans, J
(2011)
*Dynamic ordering of nuclei in syncytial embryos: a quantitative analysis of the role of cytoskeletal networks*
INTEGRATIVE BIOLOGY, 3.
pp. 1112-1119.

Kapitula, T., Kevrekidis, P. G. and Sandstede, B.
(2004)
*Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems.*
Physica D, 195 (2004).
pp. 263-282.

Kapitula, T., Kutz, N. and Sandstede, B.
(2004)
*The Evans function for nonlocal equations*
Indiana University Mathematics Journal, 53 (2004).

Knight, CJK, Derks, G, Doelman, A and Susanto, H
(2013)
*Stability of stationary fronts in a non-linear wave equation with spatial inhomogeneity*
Journal of Differential Equations, 254 (2).
pp. 408-468.

Knight, CJK, Penn, AS and Hoyle, RB
(2014)
*Comparing the effects of mutualism and competition on industrial districts*
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 416.
pp. 541-557.

Knobloch, J, Lloyd, DJB, Sandstede, B and Wagenknecht, T
(2010)
*Isolas of 2-Pulse Solutions in Homoclinic Snaking Scenarios*
Journal of Dynamics and Differential Equations, 23 (1).
pp. 93-114.

Knobloch, J, Lloyd, DJB, Sandstede, B and Wagenknecht, T
(2011)
*Isolas of 2-pulse solutions in homoclinic snaking scenarios*
Journal of Dynamics and Differential Equations, 23 (1).
pp. 93-114.

Koke, C, Kanesaki, T, Grosshans, J, Schwarz, US and Dunlop, CM
(2014)
*A computational model of nuclear self-organisation in syncytial embryos*
Journal of Theoretical Biology, 359.
pp. 92-100.

Kostianko, A, Titi, E and Zelik, S
(2016)
*Large dispersion, averaging and attractors: three 1D paradigms*
arXiv.

Kostianko, A and Zelik, S
(2016)
*Inertial Manifolds for 1D Convective Reaction-Diffusion Systems*
arXiv.

Kostianko, A and Zelik, S
(2015)
*Inertial manifolds for the 3D Cahn-Hilliard equations with periodic boundary conditions.*
Communications on Pure and Applied Analysis, 14 (5).
pp. 2069-2094.

Kozcaz, C, Pasquetti, S, Passerini, F and Wyllard, N
(2011)
*Affine sl(N) conformal blocks from N=2 SU(N) gauge theories*
JHEP 1101:045,2011.

Kozcaz, C, Pasquetti, S and Wyllard, N
(2010)
*A & B model approaches to surface operators and Toda theories*
J HIGH ENERGY PHYS (8).

Kozin, IN and Roberts, RM
(2003)
*Monodromy in the spectrum of a rigid symmetric top molecule in an electric field*
JOURNAL OF CHEMICAL PHYSICS, 118 (23).
pp. 10523-10533.

Kozlowski, K, Sklyanin, E and Torrielli, Alessandro
(2017)
*Quantization of the Kadomtsev-Petviashvili equation*
Theoretical and Mathematical Physics, 192 (2).
pp. 259-283.

Kozlowski, KK, Sklyanin, E and Torrielli, A
(2016)
*Quantisation of Kadomtsev-Petviashvili equation*
[Working Paper]

Kristiansen, KU, Palmer, P and Roberts, M
(2011)
*A Unification of Models of Tethered Satellites*
SIAM J APPL DYN SYST, 10 (3).
pp. 1042-1069.

Kristiansen, KU, Palmer, PL and Roberts, M
(2010)
*Relative motion of satellites exploiting the super-integrability of Kepler's problem*
Celestial Mechanics and Dynamical Astronomy, 106 (4).
pp. 371-390.

Kristiansen, KU and Wulff, Claudia
(2012)
*Exponential estimates of symplectic slow manifolds*
arXiv.

Kyrychko, Y, Gourley, Stephen and Bartuccelli, Michele
(2006)
*Dynamics of a stage-structured population model on an isolated finite lattice*
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 37 (5).
pp. 1688-1708.

Kyrychko, Yuliya N. and Bartuccelli, Michele V.
(2004)
*Length scales for the Navier–Stokes equations on a rotating sphere*
Physics Letters A, 324.
pp. 2-3.

Käenmäki, A and Shmerkin, P
(2009)
*Overlapping self-affine sets of Kakeya type*
Ergodic Theory and Dynamical Systems, 29 (3).
pp. 941-965.

## L

Laine-Pearson, FE and Hydon, PE
(2010)
*Alternating flow in a moving corner*
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 29 (4).
pp. 278-284.

Laine-Pearson, FE and Hydon, PE
(2006)
*Particle transport in a moving corner*
JOURNAL OF FLUID MECHANICS, 559.
pp. 379-390.

Lamb, J. S.W. and Melbourne, Ian
(2007)
*Normal form theory for relative equilibria and relative periodic solutions*
Transactions of the American Mathematical Society, 359.
pp. 4537-4556.

Lamb, JSW, Melbourne, I and Wulff, C
(2003)
*Bifurcation from periodic solutions with spatiotemporal symmetry, including resonances and mode interactions*
JOURNAL OF DIFFERENTIAL EQUATIONS, 191 (2).
pp. 377-407.

Lamb, JSW, Melbourne, I and Wulff, C
(2006)
*Hopf bifurcation from relative periodic solutions; secondary bifurcations from meandering spirals*
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 12 (11).
pp. 1127-1145.

Lamb, Jeroen S W and Melbourne, Ian
(2007)
*Normal Form Theory for Relative Equilibria and Relative Periodic Solutions*
Transactions of the American Mathematical Society,, 359.
pp. 4537-4556.

Lamb, Jeroen S. W. and Wulff, Claudia
(2001)
*Reversible Relative Periodic Orbits*
Journal of Differential Equations, 178.
pp. 60-100.

Leeuw, MD, Matsumoto, T, Moriyama, S, Regelskis, V and Torrielli, A
(2012)
*Secret Symmetries in AdS/CFT*
Physica Scripta: an international journal for experimental and theoretical physics, 86 (2).

Leeuw, MD, Regelskis, V and Torrielli, A
(2012)
*The Quantum Affine Origin of the AdS/CFT Secret Symmetry*
J. Phys. A: Math. Theor., 45 (17).

Liu, R, Gourley, SA, DeAngelis, DL and Bryant, JP
(2011)
*Modeling the dynamics of woody plant-herbivore interactions with age-dependent toxicity*
Journal of Mathematical Biology.

Lloyd, D, Avitabile, D, Burke, J, Knobloch, E and Sandstede, B
(2010)
*To snake or not to snake in the planar Swift-Hohenberg equation*
SIAM J. Appl. Dyn. Syst., 9 (3).
pp. 704-733.

Lloyd, D, Gollwitzer, C, Rehberg, I and Richter, R
(2015)
*Homoclinic snaking near the surface instability of a polarizable fluid*
Journal of Fluid Mechanics, 783.
pp. 283-305.

Lloyd, D, Moschoyiannis, S, Elia, N, Penn, A and Knight, C
(2016)
*A web-based tool for identifying strategic intervention points in complex systems*
In: Cassting Workshop at ETAPS 2016, 2016-04-02 - 2016-04-03, Eindhoven.

Lloyd, D, Penn, A, knight, C, Chalkias, G and Velenturf, A
(2016)
*Extending Participatory Fuzzy Cognitive Mapping with a Control Nodes Methodology: a case study of the development bio-based economy in the Humber region, UK*
In:
Environmental Modeling with Stakeholders.
Springer International Publishing.
ISBN 9783319250519

Lloyd, D, Santitissadeekorn, N and Short, MB
(2015)
*Exploring data assimilation and forecasting issues for an urban crime model*
European Journal of Applied Mathematics.

Lloyd, DJB and Champneys, AR
*Efficient numerical continuation and stability analysis of spatiotemporal quadratic optical solitons*
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 27, 3.
{759-773} - {759-773}.

Lloyd, DJB and Champneys, AR
(2005)
*Efficient numerical continuation and stability analysis of spatiotemporal quadratic optical solitons*
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 27 (3).
pp. 759-773.

Lloyd, DJB, Sandstede, B, Avitabile, D and Champneys, AR
(2008)
*Localized hexagon patterns of the planar Swift-Hohenberg equation*
SIAM Journal on Applied Dynamical Systems, 7 (3).
pp. 1049-1100.

Lloyd, DJB, Sandstede, B, Avitabile, D and Champneys, AR
(2008)
*Localized hexagon patterns of the planar Swift-Hohenberg equation*
SIAM Journal on Applied Dynamical Systems, 7 (3).
pp. 1049-1100.

Lloyd, David and Sandstede, B
(2009)
*Localized radial solutions of the Swift-Hohenberg equation*
NONLINEARITY, 22 (2).
pp. 485-524.

Lloyd, David and Scheel, A
(2017)
*Continuation and Bifurcation of Grain Boundaries in the Swift-Hohenberg Equation*
SIAM Journal on Applied Dynamical Systems, 16 (1).
pp. 252-293.

Lozano, Y, Murugan, J and Prinsloo, A
(2013)
*A giant graviton genealogy*
The Journal of High Energy Physics, 08, arXiv:.

Lozano, Y and Prinsloo, A
(2013)
*S2xS3 geometries in ABJM and giant gravitons*
The Journal of High Energy Physics, 0413, arXiv:.

Luzzatto, Stefano, Melbourne, Ian and Paccaut, Frederic
(2005)
*The Lorenz attractor is mixing*
Communications in Mathematical Physics.

Lyle, Jane, Charlton, Peter H., Bonet Luz, Esther, Chaffey, Gary, Christie, Mark, Nandi, Manasi and Aston, Philip
(2017)
*Beyond HRV: Analysis of ECG Signals Using Attractor Reconstruction*
In: Computing in Cardiology 2017, 24-27 Sep 2017, Rennes, France.

## M

Maclean, J, Santitissadeekorn, Naratip and Jones, CKRT
(2017)
*A coherent structure approach for parameter estimation in Lagrangian Data Assimilation*
Physica D: Nonlinear Phenomena, 360.
pp. 36-45.

Magar, V, Lefranc, M, Hoyle, RB and Reeve, DE
(2012)
*Spectral Quantification of Nonlinear Behaviour of the Nearshore Seabed and Correlations with Potential Forcings at Duck, NC, USA*
PLOS ONE, 7 (6), ARTN e.

Manoel, M and Roberts, M
(2015)
*Gradient systems on coupled cell networks*
NONLINEARITY, 28 (10).
pp. 3487-3509.

Mansfield, E. L. and Hydon, Peter E.
(2001)
*Towards approximations which preserve integrals*
Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation.
pp. 217-222.

Mansfield, EL and Hydon, PE
(2008)
*Difference forms*
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS, 8 (4).
pp. 427-467.

Matsumoto, T, Moriyama, S and Torrielli, A
(2007)
*A secret symmetry of the AdS/CFT S-matrix*
Journal of High Energy Physics, 9.

McNamara, AJ, Moakes, K, Aston, PJ, Gavin, C and Sterr, A
(2014)
*The Importance of the Derivative in Sex-Hormone Cycles: A Reason Why Behavioural Measures in Sex-Hormone Studies Are So Mercurial*
PLoS One, 9 (11), e11189.

McOrist, Jock
(2017)
*On the Effective Field Theory of Heterotic Vacua*
Communications in Mathematical Physics.

McOrist, Jock
(2017)
*On the Effective Field Theory of Heterotic Vacua*
Letters in Mathematical Physics..

McOrist, Jock, Melnikov, IV and Wecht, B
(2017)
*Global Symmetries and N=2 SUSY*
Letters in Mathematical Physics.
pp. 1-12.

Meejun, N, Skeldon, AC, Tuzun, U and O'Sullivan, C
(2008)
*Wavelet analysis of DEM simulations of samples under biaxial compression*
GRANULAR MATTER, 10 (5).
pp. 389-398.

Melbourne, I
(2009)
*Decay of correlations for slowly mixing flows*
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 98.
pp. 163-190.

Melbourne, I
(2009)
*LARGE AND MODERATE DEVIATIONS FOR SLOWLY MIXING DYNAMICAL SYSTEMS*
P AM MATH SOC, 137 (5).
pp. 1735-1741.

Melbourne, I and Gottwald, GA
(2008)
*Power spectra for deterministic chaotic dynamical systems*
NONLINEARITY, 21 (1).
pp. 179-189.

Melbourne, I and Nicol, M
(2008)
*Large deviations for nonuniformly hyperbolic systems*
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 360 (12).
pp. 6661-6676.

Melbourne, I and Nicol, M
(2009)
*A VECTOR-VALUED ALMOST SURE INVARIANCE PRINCIPLE FOR HYPERBOLIC DYNAMICAL SYSTEMS*
ANNALS OF PROBABILITY, 37 (2).
pp. 478-505.

Melbourne, I, Nitica, V and Toeroek, A
(2012)
*Transitivity of Heisenberg group extensions of hyperbolic systems*
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 32 (1).
pp. 223-235.

Melbourne, I, Nitica, V and Torok, A
(2009)
*Transitivity of Euclidean-type extensions of hyperbolic systems*
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 29.
pp. 1585-1602.

Melbourne, I and Stuart, AM
(2011)
*A note on diffusion limits of chaotic skew-product flows*
NONLINEARITY, 24 (4).
pp. 1361-1367.

Melbourne, I and Terhesiu, D
(2011)
*Operator renewal theory and mixing rates for dynamical systems with infinite measure*
Inventiones Mathematicae, 189 (1).
pp. 61-110.

Melbourne, I and Toeroek, A
(2012)
*Convergence of moments for Axiom A and non-uniformly hyperbolic flows*
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 32 (3).
pp. 1091-1100.

Melbourne, I and Windsor, A
(2005)
*A C-infinity Diffeomorphism with Infinitely Many Intermingled Basins*
Ergodic Theory and Dynamical Systems, 25 (06).

Melbourne, Ian
(2007)
*Rapid Decay of Correlations for Nonuniformly Hyperbolic Flows*
Transactions of the American Mathematical Society, 359.
pp. 2421-2441.

Melbourne, Ian
(2007)
*Rapid decay of correlations for nonuniformly hyperbolic flows*
Transactions of the American Mathematical Society, 359.
pp. 2421-2441.

Melbourne, Ian
(1999)
*Steady-state bifurcation with Euclidean symmetry*
Transactions of the American Mathematical Society, 4.
pp. 1575-1603.

Melbourne, Ian and Nicol, Matthew
(2005)
*Almost sure invariance principle for nonuniformly hyperbolic systems*
Communications in Mathematical Physics.

Melbourne, Ian and Nicol, Matthew
(2003)
*Stable transitivity of Euclidean group extensions*
Dynamical Systems.

Melbourne, Ian and Nicol, Matthew
(2003)
*Statistical limit laws for equivariant observations*
Stochastics & Dynamics, 4.
pp. 1-13.

Melbourne, Ian and Nicol, Matthew
(2004)
*Statistical properties of endomorphisms and compact group extensions*
Journal of the London Mathematical Society.

Melbourne, Ian, Nitica, V. and Torok, A.
(2005)
*Stable transitivity of certain noncompact extensions of hyperbolic systems*
Annales Henri Poincaré, 6 (4).
pp. 725-746.

Melbourne, Ian and Schneider, Guido
(2004)
*Phase dynamics in the real Ginzburg-Landau equation*
Mathematische Nachrichten, 263-26 (1).
pp. 171-180.

Melbourne, Ian and Stewart, Ian N.
(1997)
*Symmetric omega-limit sets for smooth Gamma-equivariant dynamical systems with Gamma ^{0} Abelian*
Nonlinearity, 10.
pp. 1551-1567.

Melbourne, Ian and Török, Andrei
(2004)
*Statistical Limit theorems for suspension flows*
Israel Journal of Math, 144 (2004).
pp. 191-209.

Melbourne, Ian and Windsor, A.
(2005)
*A C^\infty diffeomorphism with infinitely many intermingled basins*
Dynamical Systems.

Mendes, Miguel and Nicol, Matthew
(2004)
*Periodicity and recurrence in piecewise rotations of Eucledian spaces*
International Journal of Bifurcation and Chaos, 14.
pp. 2353-2361.

Mielke, A and Zelik, S
(2014)
*On the vanishing-viscosity limit in parabolic systems with rate-independent dissipation terms*
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 13 (1).
pp. 67-135.

Miranville, A and Zelik, S
(2010)
*THE CAHN-HILLIARD EQUATION WITH SINGULAR POTENTIALS AND DYNAMIC BOUNDARY CONDITIONS*
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 28 (1).
pp. 275-310.

Montaldi, JA and Roberts, RM
(1999)
*Relative equilibria of molecules*
JOURNAL OF NONLINEAR SCIENCE, 9 (1).
pp. 53-88.

Moriyama, S and Torrielli, A
(2007)
*A Yangian double for the AdS/CFT classical r-matrix*
Journal of High Energy Physics, 2007 (6).

Morris, ID
(2016)
*Ergodic properties of matrix equilibrium states*
Ergodic Theory and Dynamical Systems.

Morris, ID
(2015)
*A rigorous version of R.P. Brent’s model for the binary Euclidean algorithm*
Advances in Mathematics, 290.
pp. 73-143.

Morris, Ian
(2017)
*Generic properties of the lower spectral radius for some low-rank pairs of matrices*
Linear Algebra and Its Applications, 524.
pp. 35-60.

Morris, Ian
(2016)
*AN INEQUALITY FOR THE MATRIX PRESSURE FUNCTION AND APPLICATIONS*
Advances in Mathematics, 302 (Oct).
pp. 280-308.

Morris, Ian
(2017)
*Lyapunov-maximising measures for pairs of weighted shift operators*
Ergodic Theory and Dynamical Systems.

Morris, Ian
(2017)
*On Falconer's formula for the generalized Rényi dimension of a self-affine measure*
Annales Academiae Scientiarum Fennicae, 42.
pp. 227-238.

Morris, Ian
(2017)
*A necessary and sufficient condition for a matrix equilibrium state to be mixing*
Ergodic Theory and Dynamical Systems.

Morris, Ian and Shmerkin, P
(2017)
*On equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystems*
Transactions of the American Mathematical Society.

Murugan, J and Prinsloo, A
(2011)
*ABJM Dibaryon Spectroscopy*
The Journal of High Energy Physics, 1105, arXiv:.

## N

Nicol, Matthew
(1996)
*A Bernoulli toral linked twist map without positive Lyapunov exponents*
Proceedings of the American Mathematical Society, 124.
pp. 1253-1263.

Nicol, Matthew
(2001)
*Induced maps of Bernoulli dynamical systems*
Discrete and Continuous Dynamical Systems, 7.
pp. 147-154.

Nicol, Matthew, Melbourne, Ian and Ashwin, Peter
(2000)
*Euclidean extensions of dynamical systems*
Nonlinearity, 14.
pp. 275-300.

Nicol, Matthew and Pollicott, Mark
(2001)
*Livsic's Theorem for Semisimple Lie Groups*
Dynamical Systems.
pp. 1501-1509.

Nieri, F, Pasquetti, S, Passerini, F, Passerini, F and Passerini, F
(2015)
*3d and 5d Gauge Theory Partition Functions as q-deformed CFT Correlators*
Letters in Mathematical Physics, 105 (1).
pp. 109-148.

Nieri, F, Pasquetti, S, Passerini, F and Torrielli, A
(2014)
*5D partition functions, q-Virasoro systems and integrable spin-chains*
JOURNAL OF HIGH ENERGY PHYSICS (12), ARTN 0.

## O

Ohlsson Sax, O, Stefanski, BJ and Torrielli, A
(2013)
*On the massless modes of the AdS3/CFT2 integrable systems*
The Journal of High Energy Physics, 03.

Ohsawa, Tomoki and Tronci, Cesare
(2017)
*Geometry and Dynamics of Gaussian Wave Packets and their Wigner Transforms*
Journal of Mathematical Physics, 58 (9).
pp. 1-19.

Oliver, M, West, M and Wulff, C
(2004)
*Approximate momentum conservation for spatial semidiscretizations of semilinear wave equations*
NUMERISCHE MATHEMATIK, 97 (3).
pp. 493-535.

Oliver, M and Wulff, C
(2012)
*A-stable Runge-Kutta methods for semilinear evolution equations*
Journal of Functional Analysis, 263 (7).
pp. 1981-2023.

Ovsyannikov, II, Turaev, D and Zelik, S
(2014)
*Bifurcation to Chaos in the complex Ginzburg-Landau equation with large third-order dispersion*

## P

Pasquetti, S
(2012)
*Factorisation of N = 2 theories on the squashed 3-sphere*
J HIGH ENERGY PHYS.

Pasquetti, S and Schiappa, R
(2010)
*Borel and Stokes Nonperturbative Phenomena in Topological String Theory and c=1 Matrix Models*
ANN HENRI POINCARE, 11 (3).
pp. 351-431.

Patrick, GW, Roberts, M and Wulff, Claudia
(2004)
*Stability of Poisson equilibria and Hamiltonian relative equilibria by energy methods*
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 174 (3).
pp. 301-344.

Patrick, GW, Roberts, M and Wulff, Claudia
(2008)
*Stability transitions for axisymmetric relative equilibria of Euclidean symmetric Hamiltonian systems*
NONLINEARITY, 21 (2).
pp. 325-352.

Peres, Y and Shmerkin, P
(2009)
*Resonance between Cantor sets*
Ergodic Theory and Dynamical Systems, 29 (1).
pp. 201-221.

Plefka, J, Spill, F and Torrielli, A
(2006)
*Hopf algebra structure of the AdS/CFT S-matrix*
PHYSICAL REVIEW D, 74 (6).

Prentice, IC, Cleator, Sean, Huang, YF, Harrison, SP and Roulstone, Ian
(2017)
*Reconstructing ice-age palaeoclimates: quantifying CO2 effects on plants*
Global and Planetary Change, 149.
pp. 166-176.

Prinsloo, AH
(2014)
*D1 and D5-brane giant gravitons on AdS3xS3xS3xS1*
The Journal of High Energy Physics.

Prinsloo, AH
(2006)
*gamma_i Deformed Lax Pair for Rotating Strings in the Fast Motion Limit*
JHEP0601:050,2006, 2006 (1).

## R

Rademacher, Jens D.M., Sandstede, Bjorn and Scheel, Arnd
(2007)
*Computing absolute and essential spectra using continuation*
Physica D, 229.
pp. 166-183.

Ratliff, Daniel
(2017)
*Double Degeneracy in Multiphase Modulation and the Emergence of the Boussinesq Equation*
Studies in Applied Mathematics, 140 (1).
pp. 48-77.

Ratliff, Daniel
(2017)
*Phase dynamics of periodic wavetrains leading to the 5th order KP equation*
Physica D: Nonlinear Phenomena, 353.
pp. 11-19.

Ratliff, Daniel and Bridges, Thomas
(2016)
*Multiphase wavetrains, singular wave interactions and the emergence of the Korteweg-de Vries equation*
Proceedings of the Royal Society A, 472 (2196), 0160456.

Reich, Sebastian
(1999)
*Backward Error Analysis for Numerical Integrators*
SIAM Journal on Numerical Analysis.
pp. 1549-1570.

Reich, Sebastian
(1999)
*Multiple Time Scales in Classical and Quantum–Classical Molecular Dynamics*
Journal of Computational Physics, 151 (1).
pp. 49-73.

Roubtsov, VN and Roulstone, I
(2001)
*Holomorphic structures in hydrodynamical models of nearly geostrophic flow*
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 457 (2010).
pp. 1519-1531.

Roulstone, I, Banos, B, Gibbon, JD and Roubtsov, V
(2009)
*Kahler geometry and Burgers' vortices*
Proceedings of Ukrainian National Academy Mathematics, 16 (2).
pp. 303-321.

Roulstone, I, Banos, B, Gibbon, JD and Roubtsov, VN
(2009)
*A geometric interpretation of coherent structures in Navier-Stokes flows*
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 465 (2107).
pp. 2015-2021.

Roulstone, I and Sewell, MJ
(1997)
*The mathematical structure of theories of semigeostrophic type*
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 355 (1734).
pp. 2489-2517.

Roulstone, Ian and White, A
(2016)
*Semigeostrophic time evolution of velocity gradient tensor invariants*
Quarterly Journal of the Royal Meteorological Society, 142 (699).
pp. 2579-2584.

Rucklidge, AM, Silber, M and Skeldon, Anne
(2012)
*Three-wave interactions and spatio-temporal chaos*
Physical Review Letters, 108 (7), 075450.

Rudd, AC, Roulstone, I and Eyre, JR
(2012)
*A simple column model to explore anticipated problems in variational assimilation of satellite observations*
ENVIRONMENTAL MODELLING & SOFTWARE, 27-28.
pp. 23-39.

## S

Sahadevan, R, Rasin, OG and Hydon, PE
(2007)
*Integrability conditions for nonautonomous quad-graph equations*
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 331 (1).
pp. 712-726.

Salizzoni, M, Torrielli, A and Yang, HS
(2006)
*ALE spaces from noncommutative U (1) instantons via exact Seiberg-Witten map*
PHYSICS LETTERS B, 634 (4).
pp. 427-433.

Samann, Christian and Wolf, Martin
(2017)
*Supersymmetric Yang–Mills Theory as Higher Chern–Simons Theory*
Journal of High Energy Physics, 111.

Sandstede, B and Scheel, A
(2006)
*Curvature Effects on Spiral Spectra: Generation of Point Eigenvalues Near Branch Points*
Physical Review E, 73 (1).

Sandstede, B. and Scheel, A,
(2004)
*Evans function and blow-u[ methods in critical eienvalue problems*
Discrete and Continuous Dynamical Systems, 10 (2004).

Sandstede, Bjorn and Scheel, A
(2008)
*Relative Morse indices, Fredholm indices, and group velocities*
Discrete and Continuous Dynamical Systems A.
pp. 139-158.

Sandstede, Bjorn and Scheel, Arnd
(2006)
*Absolute instabilities of standing pulses*
Nonlinearity, 18 (2005).

Sandstede, Bjorn and Scheel, Arnd
(2004)
*Defects in Oscillatory Media: Toward a Classification*
Dynamical Systems, 3.
pp. 1-68.

Sandstede, Bjorn and Scheel, Arnd
(2008)
*Hopf Bifurcation From Viscous Shock Waves*
SIAM Journal on Mathematical Analysis, 39 (6).
pp. 2033-2052.

Sandstede, Bjorn and Scheel, Arnd
(2007)
*Period-Doubling of Spiral Waves and Defects*
SIAM Journal on Applied Dynamical Systems, 6 (2).
pp. 494-547.

Savostianov, A and Zelik, S
(2015)
*Finite Dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono Equation in R3*
Mathematical Methods in the Applied Sciences, 39 (5).
pp. 1254-1267.

Savostianov, A and Zelik, S
(2014)
*Global well-posedness and attractors for the hyperbolic Cahn-Hilliard-Oono equation in the whole space*

Savostianov, A and Zelik, S
(2013)
*Recent progress in attractors for quintic wave equations*

Savostianov, A and Zelik, S
(2014)
*Smooth attractors for the quintic wave equations with fractional damping*
ASYMPTOTIC ANALYSIS, 87 (3-4).
pp. 191-221.

Schilder, Frank
(2007)
*Rauto: running AUTO more efficiently*
.

Schiller, F, Skeldon, A, Balke, T, Grant, M, Penn, AS, Basson, L, Jensen, P, Gilbert, N, Kalkan, OD, Woodward, A, Kaminski, B and Koloch, G
(2014)
*Defining Relevance and Finding Rules: An Agent-Based Model of Biomass Use in the Humber Area*
In: 9th Conference of the European-Social-Simulation-Association (ESSA), 2013-09-16 - 2013-09-20, Warsaw Sch Econ, Warsaw, POLAND.

Schimperna, G, Segatti, A and Zelik, S
(2012)
*Asymptotic uniform boundedness of energy solutions to the Penrose-Fife model*
Journal of Evolution Equations, 12 (4).
pp. 863-890.

Schimperna, G and Zelik, S
(2010)
*Existence of solutions and separation from singularities for a class of fourth order degenerate parabolic equations*
arXiv.
(Unpublished)

Schley, D. and Gourley, S. A.
(2002)
*Linear and nonlinear stability in a diffusional ecotoxicological model with time delays*
Discrete and Continuous Dynamical Systems, 2.
pp. 575-590.

Schubert, C and Torrielli, A
(2010)
*Open string pair creation from worldsheet instantons*
J PHYS A-MATH THEOR, 43 (40).

Segatti, A and Zelik, S
(2009)
*Finite-dimensional global and exponential attractors for the reaction-diffusion problem with an obstacle potential*
NONLINEARITY, 22 (11).
pp. 2733-2760.

Shail, R.
(2000)
*A class of infinite sums and integrals*
Mathematics of Computation, 70.
pp. 789-799.

Shirikyan, A and Zelik, S
(2012)
*Exponential attractors for random dynamical systems and applications*
Stochastic Partial Differential Equations: Analysis and Computations, 1 (2).
pp. 241-281.

Shmerkin, P
(2006)
*Overlapping self-affine sets*
Indiana University Mathematics Journal, 55 (4).
pp. 1291-1331.

Shmerkin, P
(2011)
*Porosity, dimension, and local entropies: a survey*
Revista de la Union Matematica Argentina, 52 (2).
pp. 81-103.

Shmerkin, P
(2012)
*The dimension of weakly mean porous measures: a probabilistic approach*
International Mathematics Research Notices, 2012 (9).
pp. 2010-2033.

Shmerkin, P
(2005)
*A modified multifractal formalism for a class of self-similar measures with overlap*
The Asian Journal of Mathematics, 9 (3).
pp. 323-348.

Shmerkin, PS, Nazarov, F and Peres, Y
(2011)
*Convolutions of Cantor measures without resonance*
Israel Journal of Mathematics, 187 (1).
pp. 93-116.

Sieg, C and Torrielli, A
(2005)
*Wrapping interactions and the genus expansion of the 2-point function of composite operators*
Nuclear Physics B, 723 (1-2).
pp. 3-32.

Silber, M and Skeldon, AC
(1999)
*Parametrically excited surface waves: Two-frequency forcing, normal form symmetries, and pattern selection*
Physical Review E, 59 (5).
pp. 5446-5456.

Silber, M, Topaz, CM and Skeldon, AC
(2000)
*Two-frequency forced Faraday waves: Weakly damped modes and pattern selection*
Physica D: Nonlinear Phenomena, 143 (1-4).
pp. 205-225.

Simons, RRL and Gourley, SA
(2006)
*Extinction criteria in stage-structured population models with impulsive culling*
SIAM JOURNAL ON APPLIED MATHEMATICS, 66 (6).
pp. 1853-1870.

Skau, KI, Hoyle, RB and Turner, MS
(2006)
*A kinetic model describing the processivity of myosin-V*
BIOPHYSICAL JOURNAL, 91 (7).
pp. 2475-2489.

Skeldon, A, Dijk, DJ and Derks, G
(2014)
*Mathematical models for sleep-wake dynamics: comparison of the two-process model and a mutual inhibition neuronal model*
PLoS One, 9 (8).

Skeldon, AC, Chaffey, G, Lloyd, DJ, Mohan, V, Bradley, DA and Nisbet, A
(2012)
*Modelling and detecting tumour oxygenation levels.*
PLoS One, 7 (6).

Skeldon, AC, Dijk, D-J and Derks, G
(2013)
*Mathematical models for sleep-wake dynamics: a comparison*
arXiv.

Skeldon, AC and Guidoboni, G
(2007)
*Pattern selection for faraday waves in an incompressible viscous fluid*
SIAM J APPL MATH, 67 (4).
pp. 1064-1100.

Skeldon, AC and Guidoboni, G
(2007)
*Pattern selection for faraday waves in an incompressible viscous fluid*
SIAM JOURNAL ON APPLIED MATHEMATICS, 67 (4).
pp. 1064-1100.

Skeldon, AC and Moroz, IM
(1998)
*On a codimension-three bifurcation arising in a simple dynamo model*
Physica D-Nonlinear Phenomena, 117 (1-4).
pp. 117-127.

Skeldon, AC and Porter, J
(2011)
*Scaling properties of weakly nonlinear coefficients in the Faraday problem*
PHYSICAL REVIEW E, 84 (1), ARTN 0.

Skeldon, AC and Purvey, I
(2005)
*The effect of different forms for the delay in a model of the nephron*
Mathematical Biosciences and Engineering, 2 (1).
pp. 97-109.

Skeldon, AC and Rucklidge, AM
(2015)
*Can weakly nonlinear theory explain Faraday wave patterns near onset?*
Journal of Fluid Mechanics, 777.
pp. 604-632.

Skeldon, AC and Silber, M
(1998)
*New stability results for patterns in a model of long-wavelength convection*
Physica D-Nonlinear Phenomena, 122 (1-4).
pp. 117-133.

Skeldon, Anne
(2017)
*Data set for "The effects of self-selected light-dark cycles and social constraints on human sleep and circadian timing: a modeling approach"*
[Dataset]

Skeldon, Anne and Derks, Gianne
(2017)
*Nonsmooth maps and the fast-slow dynamics of sleep-wake regulation: Part 1*
Research Perspectives CRM Barcelona (Trends in Mathematics series).
pp. 167-170.

Skeldon, Anne, Derks, Gianne and Booth, V
(2017)
*Nonsmooth maps and the fast-slow dynamics of sleep-wake regulation: Part 2*
Research Perspectives CRM Barcelona (Trends in Mathematics series).
pp. 171-175.

Skeldon, Anne, Phillips, AJK and Dijk, Derk-Jan
(2017)
*The effects of self-selected light-dark cycles and social constraints on human sleep and circadian timing: a modeling approach*
Scientific Reports, 7, 45158.

Spill, F and Torrielli, A
(2009)
*On Drinfeld's second realization of the AdS/CFT su(2|2) Yangian*
JOURNAL OF GEOMETRY AND PHYSICS, 59 (4).
pp. 489-502.

Susanto, H and Derks, G
(2010)
*Localized mode interactions in 0-π Josephson junctions*
Physical Review B, 82 (13).
132301-1 - 132301-4.

Susanto, H, van Gils, S A, Doelman, A and Derks, G
(2004)
*Analysis on the Stability of Josephson Vortices at Tricrystal Boundaries: A 3 phi(0)/2-Flux Case*
Physical Review B, 69 (21).

Susanto, H., van Gils, S. A., Doelman, A. and Derks, G.
(2004)
*Analysis on the stability of Josephson vortices at tricrystal boundaries: A 3 φ_{0} /2-flux case*
Physical Review B, 69 (212503).

## T

Terry, AJ and Gourley, SA
(2010)
*Perverse Consequences of Infrequently Culling a Pest*
Bulletin of Mathematical Biology, 72 (7).
pp. 1666-1695.

Terry, John R., Thornburg, K. Scott, DeShazer, David J., VanWiggeren, Gregory D., Zhu, Shiqun, Ashwin, Peter and Roy, Rajarshi
(1999)
*Synchronization of chaos in an array of three lasers*
Physical Review E, 59 (4).
pp. 4036-4043.

Thomas, SA, Lloyd, D and Skeldon, AC
(2016)
*Equation-free analysis of agent-based models and systematic parameter determination*
Physica A: Statistical Mechanics and its Applications.

Thomas, Spencer
(2016)
*Equation-free analysis of agent-based models and systematic parameter determination*
[Dataset]

Tonks, M.R., Beaudoin, A.J., Schilder, Frank and Tortorelli, D.A.
(2008)
*Investigation of Preferred Orientations in Planar Polycrystals*
.

Torrielli, A
(2016)
*Classical Integrability*
Journal of Physics A: Mathematical and Theoretical, 49.

Torrielli, A
(2007)
*Classical r matrix of the su(2|2) super Yang-Mills spin chain*
Physical Review D - Particles, Fields, Gravitation and Cosmology, 75 (10).

Torrielli, A
(2003)
*Cutting rules and perturbative unitarity of noncommutative electric-type field theories from string theory*
Phys.Rev. D, 67.

Torrielli, A
(2011)
*The Hopf superalgebra of AdS/CFT*
JOURNAL OF GEOMETRY AND PHYSICS, 61 (1).
pp. 230-236.

Torrielli, A
(2003)
*Noncommutative perturbative quantum field theory: Wilson loop in two-dimensional Yang-Mills, and unitarity from string theory*
Doctoral thesis, University of Padova, Italy.

Torrielli, A
(2011)
*Review of AdS/CFT Integrability. Chapter VI.2: Yangian Algebra*
Letters in Mathematical Physics, 99 (1-3).
pp. 547-565.

Torrielli, A
(2009)
*Structure of the string R-matrix*
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 42 (5).

Torrielli, A
(2011)
*Yangians, S-matrices and AdS/CFT*
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 44 (26).

Torrielli, A and Stromwall, J
(2016)
*AdS3/CFT2 and q-Poincare superalgebras*
Journal of Physics A: Mathematical and Theoretical, 49 (43).

Torrielli, Alessandro
(2017)
*On AdS2/CFT1 transfer matrices, Bethe ansatz and scale invariance*
Journal of Physics A: Mathematical and Theoretical, 51 (1), 015402.

Treude, J-H and Grant, JDE
(2013)
*Volume comparison for hypersurfaces in Lorentzian manifolds and singularity theorems*
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 43 (3).
pp. 233-251.

Tronci, C
(2016)
*From liquid crystal models to the guiding-center theory of magnetized plasmas*
Annals of Physics.

Tronci, Cesare and Bonet-Luz, E
(2016)
*Hamiltonian approach to Ehrenfest expectation values and Gaussian quantum states*
Proceedings of the Royal Society A, 472 (2189).

Tse, D. P., Rucklidge, A. M., Hoyle, Rebecca B. and Silber, M.
(2000)
*Spatial period-multiplying instabilities of hexagonal Faraday waves*
Physica D, 146.
pp. 367-387.

Tsuda, A, Laine-Pearson, FE and Hydon, PE
(2011)
*Why chaotic mixing of particles is inevitable in the deep lung.*
J Theor Biol, 286 (1).
pp. 57-66.

Turaev, D, Vladimirov, AG and Zelik, S
(2007)
*Chaotic bound state of localized structures in the complex Ginzburg-Landau equation*
PHYSICAL REVIEW E, 75 (4), ARTN 0.

Turaev, D, Vladimirov, AG and Zelik, S
(2012)
*Long-Range Interaction and Synchronization of Oscillating Dissipative Solitons*
PHYSICAL REVIEW LETTERS, 108 (26), ARTN 2.

Turaev, D and Zelik, S
(2010)
*Analytical Proof of Space-Time Chaos in Ginzburg-Landau Equations*
(Unpublished)

Turaev, DV, Warner, C and Zelik, S
(2014)
*Energy growth for a nonlinear oscillator coupled to a monochromatic wave*
REGULAR & CHAOTIC DYNAMICS, 19 (4).
pp. 513-522.

Turner, M R, Bassom, A P and Gilbert, A D
(2009)
*Diffusion and the formation of vorticity staircases in randomly strained two-dimensional vortices*
Journal of Fluid Mechanics, 638.
pp. 49-72.

Turner, M R, Gilbert, A D and Bassom, A P
(2008)
*Neutral modes of a two-dimensional vortex and their link to persistent
cat’s eyes*
Physics of Fluids, 20 (2), 027101.

Turner, M R and Gilbert, A D
(2008)
*Thresholds for the formation of satellites
in two-dimensional vortices*
Journal of Fluid Mechanics, 614.
pp. 381-405.

Turner, M R and Hammerton, P W
(2006)
*Asymptotic receptivity and the Parabolized Stability Equation: a combined approach to boundary layer transition*
Journal of Fluid Mechanics, 562.
pp. 355-381.

Turner, MR
(2007)
*Far downstream analysis for the Blasius boundary-layer stability problem*
QJMAM, 60 (3).
pp. 255-274.

Turner, MR
(2014)
*Temporal evolution of vorticity staircases in randomly strained two-dimensional vortices*
PHYSICS OF FLUIDS, 26 (11), ARTN 1.

Turner, MR
(2012)
*Tollmien-Schlichting wave amplitudes on a semi-infinite flat plate and a parabolic body: comparison of a parabolized stability equation method and direct numerical simulations*
Quarterly Journal of Mechanics & Applied Maths, 65 (2).
pp. 183-210.

Turner, MR, Alemi Ardakani, H and Bridges, TJ
(2015)
*Instability of sloshing motion in a vessel undergoing pivoted oscillations*
Journal of Fluids and Structures.

Turner, MR, Bassom, AP and Gilbert, AD
(2009)
*Diffusion and the formation of vorticity staircases in randomly strained two-dimensional vortices*
Journal of Fluid Mechanics, 638.
pp. 49-72.

Turner, MR and Berger, MA
(2011)
*A study of mixing in coherent vortices using braiding factors*
Fluid Dynamics Research, 43 (3), 035501.

Turner, MR and Bridges, TJ
(2013)
*Nonlinear energy transfer between fluid sloshing and vessel motion*
Journal of Fluid Mechanics, 719.
pp. 606-636.

Turner, MR, Bridges, TJ and Alemi Ardakani, H
(2013)
*Dynamic coupling in Cooker's sloshing experiment with baffles.*
Phys Fluids, 25, 112102.

Turner, MR, Bridges, TJ and Alemi Ardakani, H
(2015)
*The pendulum-slosh problem: simulation using a time-dependent conformal mapping*
Journal of Fluids and Structures, 59.
pp. 202-223.

Turner, MR and Gilbert, AD
(2007)
*Linear and nonlinear decay of cat's eyes in two-dimensional vortices, and the link to Landau poles*
Journal of Fluid Mechanics, 593.
pp. 255-279.

Turner, MR and Gilbert, AD
(2009)
*Spreading of two-dimensional axisymmetric vortices exposed to a rotating strain field*
Journal of Fluid Mechanics, 630.
pp. 155-177.

Turner, MR and Gilbert, AD
(2008)
*Thresholds for the formation of satellites in two--dimensional vortices*
J. Fluid Mech, 614.
pp. 381-405.

Turner, MR, Gilbert, AD and Bassom, AP
(2008)
*Neutral modes of a two-dimensional vortex and their link to persistent cat's eyes*
Phys. Fluids, 20 (2).

Turner, MR, Gilbert, AD and Thuburn, J
(2008)
*Effective diffusion of scalar fields in a chaotic flow*
Phys. Fluids, 20 (10).

Turner, MR and Hammerton, PW
(2009)
*Analysis of the unstable Tollmien-Schlichting mode on bodies with a rounded leading edge using the parabolized stability equation*
Journal of Fluid Mechanics, 623.
pp. 167-185.

Turner, MR and Hammerton, PW
(2006)
*Asymptotic receptivity analysis and the Parabolized Stability Equation : a combined approach to boundary layer transition*
J. Fluid Mech, 562.
pp. 355-382.

Turner, MR, Healey, JJ, Sazhin, SS and Piazzesi, R
(2011)
*Stability analysis and break-up length calculations for steady planar liquid jets*
J. Fluid Mech, 668.
pp. 384-411.

Turner, MR, Healey, JJ, Sazhin, SS and Piazzesi, R
(2012)
*Wave packet analysis and break--up length calculations for accelerating planar liquid jets.*
Fluid Dyn Res, 44, 015503.

Turner, MR, Healey, JJ, Sazhin, SS and Piazzesi, R
(2012)
*Wave packet analysis and break--up length calculations for accelerating planar liquid jets.*
Fluid Dyn Res, 44 (1), 015503.

Turner, MR, Sazhin, SS, Healey, JJ, Crua, C and Martynov, SB
(2012)
*A breakup model for transient Diesel fuel sprays*
Fuel: The Science and Technology of Fuel and Energy, 97.
pp. 288-305.

Turner, MR, Thuburn, J and Gilbert, AD
(2009)
*The influence of periodic islands in the flow on a scalar tracer in the presence of a steady source*
Physics of Fluids, 21 (6).

Turner, MR and Weidman, P
(2016)
*Coupled sloshing in hyperbolic containers suspended as a bifilar pendulum.*
Physical Review Fluids, 1 (4).

Turner, Matthew
*Dynamic fluid sloshing in a one-dimensional array of coupled vessels dataset*
[Dataset]

Turner, Matthew
(2018)
*Fluid sloshing in rectangular vessels with side-wall baffles using conformal mappings of multiply-connected domains*
Quarterly Journal of Mechanics and Applied Mathematics.

Turner, Matthew
(2016)
*Liquid sloshing in a horizontally forced vessel with bottom topography*
Journal of Fluids and Structures., 64.
pp. 1-26.

Turner, Matthew and Bridges, Thomas
(2015)
*Time-dependent conformal mapping of doubly-connected regions*
Advances in Computational Mathematics, 42 (4).
pp. 947-972.

Turner, Matthew, Bridges, Thomas and Alemi Ardakani, H
(2017)
*Lagrangian particle path formulation of multilayer shallow-water flows dynamically coupled to vessel motion*
Journal of Engineering Mathematics, 106 (1).
pp. 75-106.

Turner, Matthew and Weidman, P
(2017)
*The stability of a radially stretching disc beneath a uniformly rotating fluid.*
Physical Review Fluids, 2 (7), 073904.

Turner, M R and Gilbert, A D
*Spreading of two-dimensional axisymmetric vortices exposed to a rotating strain field*
Journal of Fluid Mechanics, 630.
pp. 155-177.

## V

Vishik, MI and Zelik, SV
(2011)
*Attractors for the nonlinear elliptic boundary value problems and their parabolic singular limit*
arXiv.

## W

Ward, JP, Dunster, JL, Derks, G., Mistry, P and Salazar, JD
(2016)
*Predicting tyrosinaemia: a mathematical model of 4-hydroxyphenylpyruvate dioxygenase inhibition by nitisinone in rats*
Mathematical Medicine and Biology, 34 (3).
pp. 335-390.

Weidman, P and Turner, MR
(2016)
*Experiments on the synchronous sloshing in suspended containers described by shallow-water theory*
Journal of Fluids and Structures, 66.
pp. 331-349.

Weidman, P and Turner, MR
(2016)
*Stagnation -point flows with stretching surfaces: A unified formulation and new results*
European Journal of Mechanics B: Fluids, 61.
pp. 144-153.

White, AA, Hoskins, BJ, Roulstone, I and Staniforth, A
(2005)
*Consistent approximate models of the global atmosphere: shallow, deep, hydrostatic, quasi-hydrostatic and non-hydrostatic*
QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY, 131 (609).
pp. 2081-2107.

Wolf, Martin, Jurco, B and Saemann, C
(2016)
*Higher Groupoid Bundles, Higher Spaces, and Self-Dual Tensor Field Equations*
Fortschritte der Physik / Progress of Physics, 64 (8-9).
pp. 674-717.

Wright, JA, Bartuccelli, Michele and Gentile, G
(2017)
*Comparisons between the pendulum with varying length and the pendulum with oscillating support*
Journal of Mathematical Analysis and Applications, 449.
pp. 1684-1707.

Wright, JA, Deane, Jonathan, Bartuccelli, Michele and Gentile, G
(2015)
*Basins of attraction in forced systems with time-varying dissipation*
Communications in Nonlinear Science and Numerical Simulation, 29 (1-3).
pp. 72-87.

Wulff, C
(2008)
*A Hamiltonian Analogue of the Meandering Transition*
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 7 (4).
pp. 1213-1246.

Wulff, C
(2003)
*Persistence of Hamiltonian relative periodic orbits*
JOURNAL OF GEOMETRY AND PHYSICS, 48 (2-3).
pp. 309-338.

Wulff, C
(2014)
*Relative Lyapunov Centre Bifurcations*
SIAM J. Applied Dynamical Systems, 13 (2).
pp. 722-757.

Wulff, C
(2006)
*Relative periodic points of symplectic maps: persistence and bifurcations*
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 12 (11).
pp. 1179-1191.

Wulff, C
(2014)
*Stability under Galerkin truncation of A-stable Runge--Kutta semidiscretizations in time*
Proc. Royal Soc. Edinb. A, 144 (3).
pp. 603-636.

Wulff, C and Schebesch, A
(2008)
*Numerical continuation of hamiltonian relative periodic orbits*
Journal of Nonlinear Science, 18 (4).
pp. 343-390.

Wulff, C and Schebesch, A
(2006)
*Numerical continuation of symmetric periodic orbits*
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 5 (3).
pp. 435-475.

Wulff, C and Schilder, F
(2009)
*Numerical Bifurcation of Hamiltonian Relative Periodic Orbits*
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 8 (3).
pp. 931-966.

Wulff, Claudia and Kristiansen, K
(2016)
*Exponential estimates of symplectic slow manifolds*
Journal of Differential Equations, 261 (1).
pp. 56-101.

Wulff, Claudia, Lamb, Jeroen S. W. and Melbourne, Ian
(2001)
*Bifurcation from relative periodic solutions*
Dynamical Systems, 21.
pp. 605-635.

Wulff, Claudia and Oliver, M
(2016)
*Exponentially accurate Hamiltonian embeddings of symplectic A-stable Runge--Kutta methods for Hamiltonian semilinear evolution equations*
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 146 (6).
pp. 1265-1301.

Wulff, Claudia and Roberts, RM
(2002)
*Hamiltonian Systems Near Relative Periodic Orbits*
Dynamical Systems, 1.
pp. 1-43.

## Z

Zelik, S
(2014)
*Inertial manifolds and finite-dimensional reduction for dissipative PDEs*
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 144 (6).
pp. 1245-1327.

Zelik, S
(2012)
*Infinite Energy Solutions for Damped Navier-Stokes Equations in R2*
Journal of Mathematical Fluid Mechanics.

Zelik, S
(2015)
*STRONG UNIFORM ATTRACTORS FOR NON-AUTONOMOUS DISSIPATIVE PDES WITH NON TRANSLATION-COMPACT EXTERNAL FORCES*
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 20 (3).
pp. 781-810.

Zelik, S and Mielke, A
(2009)
*Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems*
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 198 (925).
VI-95.

Zelik, S and Pennant, J
(2013)
*GLOBAL WELL-POSEDNESS IN UNIFORMLY LOCAL SPACES FOR THE CAHN-HILLIARD EQUATION IN R-3*
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 12 (1).
pp. 461-480.

Zelik, SV
(2007)
*Spatial and dynamical chaos generated by reaction-diffusion systems in unbounded domains*
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 19 (1).
pp. 1-74.

Zelik, SV and Ilyin, AA
(2014)
*Green's function asymptotics and sharp interpolation inequalities*
Russian Mathematical Surveys, 69 (2).
pp. 209-260.

Zelik, SV, Ilyin, AA and Laptev, AA
(2015)
*Sharp interpolation inequalities for discrete operators*
DOKLADY MATHEMATICS, 91 (2).
pp. 215-219.