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

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- Academic or Research Unit (1173)
- Faculty of Engineering and Physical Sciences (1173)
**Mathematics**(1173)

- Faculty of Engineering and Physical Sciences (1173)

**1173**.

## 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 crest factor for dissipative partial differential equations*
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475 (2229).

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, David, 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, 52, 345201.
pp. 1-8.

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.

Bender, Carl M., Brody, Dorje C. and Parry, Matthew F.
(2019)
*Making sense of the divergent series for reconstructing a Hamiltonian from its eigenstates and eigenvalues*
American Journal of Physics.

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.

Berchem, J, Lapenta, G, Cazzola, E, Ashour-Abdalla, M and Richard, R
(2014)
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*Vorticity and symplecticity in Lagrangian fluid dynamics*
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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*
the <i>SIAM Journal on Mathematical Analysis</i>, 33.
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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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*Bifurcation from rolls to multi-pulse planforms via reduction to a parabolic Boussinesq model*
Physica D: Nonlinear Phenomena, 275.
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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).
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*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.

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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
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*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.

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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.

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Bridges, TJ, Groves, MD and Nicholls, DP
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*Lectures on the Theory of Water Waves*
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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, 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).
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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
(2018)
*Nonlinear modulation near the Lighthill instability threshold in 2+1 Whitham theory*
Philosophical Transactions A, 376 (2117).

Bridges, Thomas and Ratliff, Daniel
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*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).
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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.
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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.
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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.
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*Steady three-dimensional water-wave patterns on a finite-depth fluid*
Journal of Fluid Mechanics.

Bridges, Thomas J. and Ratliff, Daniel J.
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*Krein signature and Whitham modulation theory: the sign of characteristics and the “sign characteristic”*
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Bridges, Thomas J. and Reich, Sebastian
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*Computing Lyapunov exponents on a Stiefel manifold*
Physica D, 156.
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Bristow, Neil
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*Mode Interactions and Transitions Associated to Period-Doublings in Maps with Two Parameters*
Doctoral thesis, University of Surrey.

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*Variational formulations of guiding-center Vlasov-Maxwell theory*
Physics of Plasmas, 23 (6).

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*Variational principles for the guiding-center Vlasov-Maxwell equations*
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*Biorthogonal systems on unit interval and
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*Geometric aspects of space-time reflection symmetry in quantum mechanics*
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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*
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*Consistency of PT-symmetric quantum mechanics*
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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.

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*Fragile entanglement statistics*
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*ON YOUNG TOWERS ASSOCIATED WITH INFINITE MEASURE PRESERVING TRANSFORMATIONS*
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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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*RETURN TIME STATISTICS OF INVARIANT MEASURES FOR INTERVAL MAPS WITH POSITIVE LYAPUNOV EXPONENT*
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*Hyperresolving phase-only filters with an optically-addressable liquid crystal spatial light modulator*
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*Superresolution with an optically addressable liquid crystal spatial light modulator*
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*An investigation of the axial properties of phase only filters*
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*On the Effective Field Theory of Heterotic Vacua*
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*LARGE AND MODERATE DEVIATIONS FOR SLOWLY MIXING DYNAMICAL SYSTEMS*
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*A VECTOR-VALUED ALMOST SURE INVARIANCE PRINCIPLE FOR HYPERBOLIC DYNAMICAL SYSTEMS*
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*A C^\infty diffeomorphism with infinitely many intermingled basins*
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*Infinite-dimensional hyperbolic sets and spatio-temporal chaos in reaction diffusion systems in R-n*
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*Nonlinear energy transfer between fluid sloshing and vessel motion*
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Turner, MR and Bridges, TJ
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*Time-dependent conformal mapping of doubly-connected regions dataset*
[Dataset]

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*Dynamic coupling in Cooker's sloshing experiment with baffles.*
Phys Fluids, 25, 112102.

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*Effective diffusion of scalar fields in a chaotic flow*
Phys. Fluids, 20 (10).

Turner, MR and Hammerton, PW
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*Analysis of the unstable Tollmien-Schlichting mode on bodies with a rounded leading edge using the parabolized stability equation*
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Turner, MR and Hammerton, PW
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Fluid Dyn Res, 44, 015503.

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*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
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*A breakup model for transient Diesel fuel sprays*
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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
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*Coupled sloshing in hyperbolic containers suspended as a bifilar pendulum.*
Physical Review Fluids, 1 (4).

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

Turner, Matthew
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*Fluid sloshing in rectangular vessels with side-wall baffles using conformal mappings of multiply-connected domains*
Quarterly Journal of Mechanics and Applied Mathematics, 71 (3).
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Turner, Matthew
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*Liquid sloshing in a horizontally forced vessel with bottom topography*
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Turner, Matthew and Bridges, Thomas
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*Time-dependent conformal mapping of doubly-connected regions*
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Turner, Matthew, Bridges, Thomas and Alemi Ardakani, H
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*Lagrangian particle path formulation of multilayer shallow-water flows dynamically coupled to vessel motion*
Journal of Engineering Mathematics, 106 (1).
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Turner, Matthew and Bridges, Tom
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*Wetting and drying of two-layer shallow-water flow in a moving vessel via semi-Lagrangian simulation*
European Journal of Mechanics B - Fluids, 76.
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Turner, Matthew and Weidman, P
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*The stability of a radially stretching disc beneath a uniformly rotating fluid.*
Physical Review Fluids, 2 (7), 073904.

Turner, Matthew and Weidman, Patrick
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*The boundary layer flow induced above the torsional motion of a disk*
Physics of Fluids, 31 (4), 043604.

## V

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Vishik, MI and Zelik, SV
(1996)
*The trajectory attractor of a non-linear elliptic system in a cylindrical domain*
SBORNIK MATHEMATICS, 187 (11-12).
pp. 1755-1789.

Vishik, MI, Zelik, SV and Chepyzhov, VV
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*Strong Trajectory Attractor for a Dissipative Reaction-Diffusion System*
DOKLADY MATHEMATICS, 82 (3).
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Vladimirov, AG, Turaev, D and Zelik, S
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Proceedings of Conference on Lasers and Electro-Optics Europe and 12th European Quantum Electronics Conference.

## W

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Wolf, M and Saemann, C
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Wulff, C and Schebesch, A
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Wulff, Claudia and Kristiansen, K
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Wulff, Claudia and Roberts, RM
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## Z

ZELIK, SV
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*ALMOST-PERIODIC SOLUTIONS OF A CLASS OF LINEAR HYPERBOLIC-EQUATIONS*
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Zelik, S
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*Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent*
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Zelik, S
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Zelik, S
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Zelik, S
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Zelik, S
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*Infinite Energy Solutions for Damped Navier-Stokes Equations in R2*
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Zelik, S
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Zelik, S
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*STRONG UNIFORM ATTRACTORS FOR NON-AUTONOMOUS DISSIPATIVE PDES WITH NON TRANSLATION-COMPACT EXTERNAL FORCES*
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Zelik, S
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Zelik, S and Mielke, A
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*Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems*
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 198 (925).
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Zelik, S and Pennant, J
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*GLOBAL WELL-POSEDNESS IN UNIFORMLY LOCAL SPACES FOR THE CAHN-HILLIARD EQUATION IN R-3*
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Zelik, SV
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*Attractors of reaction-diffusion systems in unbounded domains and their spatial complexity*
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 56 (5).
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Zelik, SV
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*Boundedness of the solutions of a nonlinear elliptic system in a cylindrical domain*
MATHEMATICAL NOTES, 61 (3-4).
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Zelik, SV
(1997)
*The Mathieu-Hill operator equation with dissipation and estimates of its instability index*
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Zelik, SV
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*Spatial and dynamical chaos generated by reaction-diffusion systems in unbounded domains*
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 19 (1).
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Zelik, SV
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*The attractor for a nonlinear hyperbolic equation in the unbounded domain*
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Zelik, SV
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Zelik, SV
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MATHEMATICAL NOTES, 65 (5-6).
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Zelik, SV
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MATHEMATICAL NOTES, 67 (1-2).
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Zelik, SV
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*A trajectory attractor of a nonlinear elliptic system in an unbounded domain*
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Zelik, SV and Chepyzhov, VV
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*Regular attractors of autonomous and nonautonomous dynamical systems*
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Zelik, SV and Ilyin, AA
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*Green's function asymptotics and sharp interpolation inequalities*
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Zelik, SV, Ilyin, AA and Laptev, AA
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*Sharp interpolation inequalities for discrete operators*
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Physical Review Letters, 119 (5).

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*Forbidden ions in field evaporation*