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

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- Academic or Research Unit (1117)
- Faculty of Engineering and Physical Sciences (1117)
**Mathematics**(1117)

- Faculty of Engineering and Physical Sciences (1117)

**1117**.

## 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.

Abbott, MC, Murugan, J, Penati, S, Pittelli, A, Sorokin, D, Sundin, P, Tarrant, J, Wolf, M and Wulff, L
(2015)
*T-duality of Green-Schwarz superstrings on AdS(d) x S d x M 10-2d*
JOURNAL OF HIGH ENERGY PHYSICS (12), ARTN 104.

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*
SIAM Journal on Applied 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, H and Bridges, TJ
(2010)
*Dynamic coupling between shallow-water sloshing and horizontal vehicle motion*
European Journal of Applied Mathematics, 21 (6).
pp. 479-517.

Alemi Ardakani, H and Bridges, TJ
(2010)
*Shallow-water sloshing in vessels undergoing prescribed rigid-body motion in three dimensions*
Journal of Fluid Mechanics, in press.

Alemi Ardakani, H and Bridges, TJ
(2012)
*Shallow-water sloshing in vessels undergoing prescribed rigid-body motion in two dimensions*
European Journal of Mechanics, B/Fluids, 31 (1).
pp. 30-43.

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.

Allen, James M, Skeldon, Anne C and Hoyle, Rebecca B
(2018)
*Social influence preserves cooperative strategies in the conditional cooperator public goods game on a multiplex network*
Physical Review E, 98, 062305.
062305-1.

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.

Amaldi, U, Citterio, A, Crescenti, M, Giuliacci, A, Tronci, C and Zennaro, R
(2007)
*CLUSTER: a high frequency H-mode coupled cavity linac for low and medium energies*
Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 579 (3).
pp. 924-936.

Amaldi, U, Citterio, A, Crescenti, M, Giuliacci, A, Tronci, C and Zennaro, R
(2007)
*CLUSTER: concept study and design of a low-medium beta accelerating structure*
In: 10th Topical Seminar on Innovative Particle and Radiation Detectors, 2006-10-01 - 2006-10-05, Siena, ITALY.

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, H. Alemi, Bridges, T.J., Gay-Balmaz, F., Huang, Y.H. and Tronci, C.
(2019)
*A variational principle for fluid sloshing with vorticity, dynamically coupled to vessel motion*
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Ardakani, HA, Bridges, TJ and Turner, MR
(2015)
*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.

Ardakani, Hamid Alemi, Bridges, Thomas J. and Turner, Matthew R.
(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, 314.
pp. 590-617.

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
(2015)
*Delay Coordinate Analysis of Periodic Data*
WO/2015/121679.

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
(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, Cranfield, Katie, O'Farrell, Haley, Cassenote, Alex, Mendes-Correa, Cassia J, Segurado, Aluisio, Hoang, Phuong, Lankford, George and Tran, Hien
(2018)
*Hepatitis C Viral Dynamics Using a Combination Therapy of Interferon, Ribavirin, and Telaprevir: Mathematical Modeling and Model Validation*
In:
Hepatitis C - From Infection to Cure.
IntechOpen, pp. 183-201.
ISBN 978-1-78984-208-1

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.

Avitabile, D and Bridges, TJ
(2010)
*Numerical implementation of complex orthogonalization, parallel transport on Stiefel bundles, and analyticity*
PHYSICA D-NONLINEAR PHENOMENA, 239 (12).
pp. 1038-1047.

## B

Babichenko, A and Torrielli, A
(2012)
*Multi-parametric R-matrix for the sl(2|1) Yangian*
Journal of Mathematical Physics, 53 (8).

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. Special issue, 29 (5).
pp. 845-868.

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

Balasuriya, S, Froyland, G and Santitissadeekorn, N
(2014)
*Absolute flux optimising curves of flows on a surface*
Journal of Mathematical Analysis and Applications, 409 (1).
pp. 119-139.

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, 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, 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, Berretti, A, Deane, JHB, Gentile, G and Gourley, SA
(2008)
*Selection rules for periodic orbits and scaling laws for a driven damped quartic oscillator*
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 9 (5).
pp. 1966-1988.

Bartuccelli, MV, Deane, JHB and Gentile, G
(2007)
*Bifurcation phenomena and attractive periodic solutions in the saturating inductor circuit*
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 463 (2085).
pp. 2351-2369.

Bartuccelli, MV, Deane, JHB and Gentile, G
(2009)
*Frequency locking in an injection-locked frequency divider equation*
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 465 (2101).
pp. 283-306.

Bartuccelli, MV, Deane, JHB and Gentile, G
(2007)
*Periodic attractors for the varactor equation*
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 22 (3).
pp. 365-377.

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, Deane, JHB, Gentile, G and Marsh, L
(2006)
*Invariant sets for the varactor equation*
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 462 (2066).
pp. 439-457.

Bartuccelli, MV, Deane, JHB, Gentile, G and Schilder, F
(2010)
*Arnol'd tongues for a resonant injection-locked frequency divider: Analytical and numerical results*
Nonlinear Analysis: Real World Applications, 11 (5).
pp. 3344-3362.

Bartuccelli, MV, Deane, JHB and Zelik, S
(2010)
*Asymptotic expansions and extremals for the critical Sobolev and Gagliardo-Nirenberg inequalities on a torus*
arXiv.

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, 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.
(2019)
*On the nature of space fluctuations of solutions of dissipative partial differential equations*
Applied Mathematics Letters, 96.
pp. 14-19.

Bartuccelli, Michele V., Deane, Jonathan H. and Gentile, Guido
(2019)
*Explicit Estimates on the Torus for the Sup-norm and the Crest Factor of Solutions of the Modified Kuramoto–Sivashinky Equation in One and Two Space Dimensions*
Journal of Dynamics and Differential Equations.

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).

Bate, ST, Godolphin, EJ and Godolphin, JD
(2008)
*Choosing cross-over designs when few subjects are available*
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 52 (3).
pp. 1572-1586.

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, S, Gutowski, JB and Papadopoulos, G
(2015)
*Supersymmetry of IIA warped flux AdS and flat backgrounds*

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

Beck, SW, Gutowski, JB and Papadopoulos, G
(2015)
*Geometry and supersymmetry of heterotic warped flux AdS backgrounds*

Beck, SW, Gutowski, JB and Papadopoulos, G
(2014)
*Supersymmetry of AdS and flat IIB backgrounds*

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.

Beisert, N, Ahn, C, Alday, LF, Bajnok, Z, Drummond, JM, Freyhult, L, Gromov, N, Janik, RA, Kazakov, V, Klose, T, Korchemsky, GP, Kristjansen, C, Magro, M, McLoughlin, T, Minahan, JA, Nepomechie, RI, Rej, A, Roiban, R, Schafer-Nameki, S, Sieg, C, Staudacher, M, Torrielli, A, Tseytlin, AA, Vieira, P, Volin, D and Zoubos, K
(2012)
*Review of AdS/CFT Integrability: An Overview*
Letters in Mathematical Physics, 99 (1-3).
pp. 3-32.

Bender, Carl M and Brody, Dorje C
(2019)
*Operator-valued zeta functions and Fourier analysis*
Journal of Physics A: Mathematical and Theoretical.

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
(2006)
*On convex representatives of polyconvex functions*
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 136.
pp. 23-51.

Bevan, J
(2005)
*Singular minimizers of strictly polyconvex functionals in R-2X2*
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 23 (3).
pp. 347-372.

Bevan, J
(2003)
*An example of a C-1,C-1 polyconvex function with no differentiable convex representative*
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*Steady Dark Solitary Waves Emerging from Wave-Generated Meanflow: The Role of Modulation Equations*
Chaos: An Interdisciplinary Journal of Nonlinear Science, 15 (3).

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*Degenerate Periodic Orbits and Homoclinic Torus Bifurcation*
Physical Review Letters, 95 (10).

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*Secondary Criticality of Water Waves. Part 2.<br>Unsteadiness and the Benjamin-Feir Instability From the Viewpoint of Hydraulics<br>*
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*Transverse instability of solitary-wave states of the water-wave problem*
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*Vorticity and symplecticity in Lagrangian fluid dynamics*
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Bridges, T. J. and Laine-Pearson, F. E.
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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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Bridges, T.J. and Derks, Gianne
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*Linear Instability of Solitary Wave Solutions of the Kawahara Equation and Its Generalizations*
the <i>SIAM Journal on Mathematical Analysis</i>, 33.
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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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pp. 419-439.

Bridges, T.J. and Laine-Pearson, F. E.
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*The long-wave instability of short-crested waves, via embedding in the oblique two-wave interaction*
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(2014)
*Bifurcation from rolls to multi-pulse planforms via reduction to a parabolic Boussinesq model*
Physica D: Nonlinear Phenomena, 275.
pp. 8-18.

Bridges, TJ
(2015)
*Breakdown of the Whitham Modulation Theory and the Emergence of Dispersion*
Studies in Applied Mathematics.

Bridges, TJ
(2006)
*Canonical multi-symplectic structure on the total exterior algebra bundle*
Proceedings Royal Society London A, 462 (2069).
pp. 1531-1551.

Bridges, TJ
(2008)
*Conservation laws in curvilinear coordinates: A short proof of Vinokur's Theorem using differential forms*
APPLIED MATHEMATICS AND COMPUTATION, 202 (2).
pp. 882-885.

Bridges, TJ
(2009)
*Degeneracy of the action-frequency map: A mechanism for homoclinic bifurcation of invariant tori*
PHYSICAL REVIEW E, 79 (6), ARTN 06660.

Bridges, TJ
(2008)
*Degenerate relative equilibria, curvature of the momentum map, and homoclinic bifurcation*
JOURNAL OF DIFFERENTIAL EQUATIONS, 244 (7).
pp. 1629-1674.

Bridges, TJ
(2015)
*Dimension Breaking from Spatially-Periodic Patterns to KdV Planforms*
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 27 (3-4).
pp. 443-456.

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

Bridges, TJ
(2012)
*Emergence of unsteady dark solitary waves from coalescing spatially periodic patterns*
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 468 (2148).
pp. 3784-3803.

Bridges, TJ
(2012)
*GEOMETRIC LIFT OF PATHS OF HAMILTONIAN EQUILIBRIA AND HOMOCLINIC BIFURCATION*
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 22 (12), ARTN 12503.

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

Bridges, TJ
(2009)
*Wave breaking and the surface velocity field for three-dimensional water waves*
NONLINEARITY, 22 (5).
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Bridges, TJ
(2013)
*A universal form for the emergence of the Korteweg-de Vries equation*
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 469 (2153), ARTN 20120.

Bridges, TJ and Derks, G
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*The symplectic Evans matrix and the instability of solitary waves and fronts*
Archives for Rational Mechanics and Analysis, 156.
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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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*Criticality manifolds and their role in the generation of solitary waves for two-layer flow with a free surface*
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 28 (1).
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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 and Donaldson, NM
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Bridges, TJ and Furter, JE
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*Singularity theory and equivariant symplectic maps*
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ISBN 3540572961

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

Bridges, TJ, Hydon, PE and Lawson, JK
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*Multisymplectic structures and the variational bicomplex*
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Bridges, TJ and Needham, DJ
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*Breakdown of the shallow water equations due to growth of the horizontal vorticity*
JOURNAL OF FLUID MECHANICS, 679.
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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, TJ and Reich, S
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*Numerical methods for Hamiltonian PDEs*
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 39 (19).
pp. 5287-5320.

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*
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 214 (2).
pp. 671-716.

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
(2018)
*Nonlinear modulation near the Lighthill instability threshold in 2+1 Whitham theory*
Philosophical Transactions A, 376 (2117).

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

Bridges, Thomas J.
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*The Pressure Boundary Condition and the Pressure as Lagrangian for Water Waves*
Water Waves: An interdisciplinary journal.

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*Universal Geometric Condition for the Transverse Instability of Solitary Waves*
Physical Review Letters, 84.
pp. 2614-2617.

Bridges, Thomas J.
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*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
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*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 Ratliff, Daniel J.
(2019)
*Krein signature and Whitham modulation theory: the sign of characteristics and the “sign characteristic”*
Studies in Applied Mathematics.

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

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

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

Brizard, AJ and Tronci, C
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*Variational principles for the guiding-center Vlasov-Maxwell equations*
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Brody, Dorje
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*Biorthogonal systems on unit interval and
zeta dilation operators*
Journal of Physics A: Mathematical and Theoretical, 51, 285202.

Brody, Dorje, Bender, Carl M., Meister, Bernhard K. and Hughston, Lane P.
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*Geometric aspects of space-time reflection symmetry in quantum mechanics*
In:
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Brody, Dorje and Hadjpetri, Stala
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*Coherent chaos interest-rate models*
International Journal of Theoretical and Applied Finance, 18 (3), 1550016.

Brody, Dorje, Hughston, L and Meier, D
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*Levy-Vasicek Models and the Long-Bond Return Process*
International Journal of Theoretical and Applied Finance, 21 (3).

Brody, Dorje and Law, Yan Tai
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*Pricing of Defaultable Bonds with Random Information Flow*
Applied Mathematical Finance, 22 (5).
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Brody, Dorje C
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*Consistency of PT-symmetric quantum mechanics*
Journal of Physics A: Mathematical and Theoretical, 49 (10), 10LT03.

Brody, Dorje C and Hughston, Lane P
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*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.

Brody, Dorje C, Hughston, Lane P and Meier, David M
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*Fragile entanglement statistics*
Journal of Physics A: Mathematical and Theoretical, 48 (42).

Brody, Dorje C and Meier, David M
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*Elementary solution to the time-independent quantum navigation problem*
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Brody, Dorje C., Gibbons, Gary W and Meier, David M
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*Time-optimal navigation through quantum wind*
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Bruin, H, Demers, M and Melbourne, I
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*Existence and convergence properties of physical measures for certain dynamical systems with holes*
Ergodic Theory and Dynamical Systems, 30 (3).
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Bruin, H and Hawkins, J
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*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
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*Livsic Regularity for Markov Systems*
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Bruin, H and Jimenez Lopez, V
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Bruin, H, Nicol, M and Terhesiu, D
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*ON YOUNG TOWERS ASSOCIATED WITH INFINITE MEASURE PRESERVING TRANSFORMATIONS*
STOCHASTICS AND DYNAMICS, 9 (4).
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Bruin, H, Rivera-Letelier, J, Shen, W and van Strien, S
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*Large derivatives, backward contraction and invariant densities for interval maps*
INVENTIONES MATHEMATICAE, 172 (3).
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Bruin, H and Schleicher, D
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Bruin, H, Shen, WX and Van Strien, S
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*Existence of unique SRB-measures is typical for real unicritical polynomial families*
ANN SCI ECOLE NORM S, 39 (3).
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Bruin, H and Todd, M
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*Complex maps without invariant densities*
NONLINEARITY, 19 (12).
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Bruin, H and Todd, M
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*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).
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Bruin, H and Todd, M
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*Markov extensions and lifting measures for complex polynomials*
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 27.
pp. 743-768.

Bruin, H and Todd, M
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*RETURN TIME STATISTICS OF INVARIANT MEASURES FOR INTERVAL MAPS WITH POSITIVE LYAPUNOV EXPONENT*
STOCH DYNAM, 9 (1).
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Bruin, H., Lambert, A., Poggiaspalla, G. and S. Vaienti, S.
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*Numerical analysis for a discontinuous rotation of the torus*
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Bruin, H., Luzzatto, S. and van Strien, S.
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Bruin, H., Saussol, B., Troubetzkoy, S. and Vaienti, S.
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