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

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- Faculty of Engineering and Physical Sciences (690)
**Mathematics**(690)

- Faculty of Engineering and Physical Sciences (690)

**690**.

## 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, 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, 29 (3).
pp. 417-449.

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 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
(2018)
*A New Model for the Dynamics of Hepatitis C Infection: Derivation, Analysis and Implications*
Viruses, 10 (4), 195.

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.

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, 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.

Bender, Carl M and Brody, Dorje Corje
(2018)
*Asymptotic analysis on a pseudo-Hermitian Riemann-zeta Hamiltonian*
Journal of Physics A: Mathematical and Theoretical, 51 (13).

Bender, Carl M., Brody, Dorje C. and Müller, Markus P.
(2017)
*Hamiltonian for the Zeros of the Riemann Zeta Function*
Physical Review Letters, 118 (13), 130201.

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, 50 (3).
pp. 2566-2587.

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.

Bochi, Jairo and Morris, Ian D.
(2018)
*Equilibrium states of generalised singular value potentials and applications to affine iterated function systems*
Geometric And Functional Analysis, 28 (4).
pp. 995-1028.

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.

Bombardelli, Diego, Stefanski, jr, Bogdan and Torrielli, Alessandro
(2018)
*The low-energy limit of AdS3/CFT2 and its TBA*
Journal of High Energy Physics.

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.

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*The Long-Wave Instability of Short-Crested Waves, Via Embedding in the Oblique Two-Wave Interaction*
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Bridges, T. J. and Laine-Pearson, Fiona E.
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*Nonlinear Counterpropagating Waves, Multisymplectic Geometry, and the Instability of Standing Waves*
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*Linear Instability of Solitary Wave Solutions of the Kawahara Equation and Its Generalizations*
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Bridges, T.J. and Donaldson, N. M.
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*Secondary criticality of water waves. Part 2. Unsteadiness and the Benjamin–Feir instability from the viewpoint of hydraulics*
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*The long-wave instability of short-crested waves, via embedding in the oblique two-wave interaction*
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Bridges, TJ
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*Emergence of dispersion in shallow water hydrodynamics via modulation of uniform flow*
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*Universal Geometric Condition for the Transverse Instability of Solitary Waves*
Physical Review Letters, 84, 12.
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Bridges, TJ and Dias, F
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*Enhancement of the Benjamin-Feir instability with dissipation*
PHYSICS OF FLUIDS, 19 (10), ARTN 1.

Bridges, TJ and Donaldson, NM
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*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
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*Multisymplectic structures and the variational bicomplex*
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Bridges, TJ and Ratliff, DJ
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*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
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*Degenerate Hyperbolic Conservation Laws with Dissipation: Reduction to and Validity of a Class of Burgers-Type Equations*
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Bridges, Thomas and Ratliff, Daniel
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*Double criticality and the two-way Boussinesq equation in stratifed shallow water hydrodynamics*
Physics of Fluids, 28 (6), 062103.

Bridges, Thomas and Ratliff, Daniel
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*Nonlinear modulation near the Lighthill instability threshold in 2+1 Whitham theory*
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Bridges, Thomas and Ratliff, Daniel
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*On the elliptic-hyperbolic transition in whitham modulation theory*
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*Multi-symplectic structures and wave propagation*
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*Steady three-dimensional water-wave patterns on a finite-depth fluid*
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## Working Paper

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

## Book Section

Brody, Dorje, Bender, Carl M., Meister, Bernhard K. and Hughston, Lane P.
(2016)
*Geometric aspects of space-time reflection symmetry in quantum mechanics*
In:
Springer Proceedings in Physics.
Springer, pp. 185-199.

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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.

Brody, Dorje C and Hughston, Lane P
(2015)
*Universal Quantum Measurements*
In: International Conference on 'Quantum Control, Exact or Perturbative, Linear or Nonlinear' to celebrate 50 years of the scientific career of Professor Bogdan Mielnik (Mielnik50) 22–24 October 2014, Mexico City, Mexico.

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.

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.

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

Bristow, Neil
(2010)
*Mode Interactions and Transitions Associated to Period-Doublings in Maps with Two Parameters*
Doctoral thesis, University of Surrey.

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]

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