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

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- Faculty of Engineering and Physical Sciences (614)
**Mathematics**(614)

- Faculty of Engineering and Physical Sciences (614)

**614**.

## Article

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, TJ and Turner, MR
(2012)
*Resonance in a model for Cooker's sloshing experiment*
European Journal of Mechanics B - Fluids, 36 (Novemb).
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, PJ
(2012)
*Is radioactive decay really exponential?*
Europhysics Letters, 97 (5), 52001.

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, Derks, G., 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.

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

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.

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.

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.

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, 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.

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.

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, 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
(2016)
*Double criticality and the two-way Boussinesq equation in stratifed shallow water hydrodynamics*
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(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 and Bridges, TJ
(2015)
*Time-dependent conformal mapping of doubly-connected regions*
Advances in Computational Mathematics, 42 (4).
pp. 947-972.

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
(2016)
*Lagrangian particle path formulation of multilayer shallow-water flows dynamically coupled to vessel motion*
Journal of Engineering Mathematics.

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 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.

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

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.

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.

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, JHB, Bartuccelli, M and Gentile, G
(2014)
*Basins of attraction in forced systems with time-varying dissipation*
Communications in Nonlinear Science and Numerical Simulation 29 (2015), 72-87, 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 Kristiansen, K
(2016)
*Exponential estimates of symplectic slow manifolds*
JOURNAL OF DIFFERENTIAL EQUATIONS, 261 (1).
pp. 56-101.

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

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

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.

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:.

## Working Paper

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

## Book Section

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

## Conference or Workshop Item

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.

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.

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.

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.

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.

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.

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.

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.

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.

## Book

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

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

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

## Thesis

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.

## Dataset

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]

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

## Other

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

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

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