Publications – Dynamical Systems at Imperial College London (DynamIC)

Sajjad Bakrani, Jeroen S. W. Lamb, and Dmitry Turaev, Invariant manifolds of homoclinic orbits and the dynamical consequences of a super-homoclinic: a case study in $\Bbb R^4$ with $\Bbb Z_2$-symmetry and integral of motion, Journal of Differential Equations 327(2022), 1−63. Article MathSciNet

2021

Dmitry Turaev, A criterion for mixed dynamics in two-dimensional reversible maps, Chaos 31, 4 (2021), Paper No. 043133, 10. Article MathSciNet

2018

Jürgen Knobloch, Jeroen S. W. Lamb, and Kevin N. Webster, Shift dynamics near non-elementary T-points with real eigenvalues, Journal of Difference Equations and Applications 24, 4 (2018), 609−654. Article MathSciNet Preprint

2017

Michael J. Field, Patterns of desynchronization and resynchronization in heteroclinic networks, Nonlinearity 30, 2 (2017), 516−557. Article MathSciNet Preprint

2014

Sergey V. Gonchenko, Jeroen S. W. Lamb, Isabel Rios, and Dmitry Turaev, Attractors and repellers in the neighborhood of elliptic points of reversible systems, Rossiĭskaya Akademiya Nauk. Doklady Akademii Nauk 454, 4 (2014), 375−378. MathSciNet

2012

Lev M. Lerman and Dmitry Turaev, Breakdown of symmetry in reversible systems, Regular and Chaotic Dynamics 17, 3−4 (2012), 318−336. Article MathSciNet

2011

Ale Jan Homburg, Alice C. Jukes, Jürgen Knobloch, and Jeroen S. W. Lamb, Bifurcation from codimension one relative homoclinic cycles, Transactions of the American Mathematical Society 363, 11 (2011), 5663−5701. Article MathSciNet

2009

Shangjiang Guo, Jeroen S. W. Lamb, and Bob W. Rink, Branching patterns of wave trains in the FPU lattice, Nonlinearity 22, 2 (2009), 283−299. Article MathSciNet

2008

Pietro-Luciano Buono, Jeroen S. W. Lamb, and R. Mark Roberts, Bifurcation and branching of equilibria in reversible-equivariant vector fields, Nonlinearity 21, 4 (2008), 625−660. Article MathSciNet
Shangjiang Guo and Jeroen S. W. Lamb, Equivariant Hopf bifurcation for neutral functional differential equations, Proceedings of the American Mathematical Society 136, 6 (2008), 2031−2041. Article MathSciNet

2007

Jeroen S. W. Lamb and Ian Melbourne, Normal form theory for relative equilibria and relative periodic solutions, Transactions of the American Mathematical Society 359, 9 (2007), 4537−4556. Article MathSciNet

2006

Ana Paula S. Dias and Jeroen S. W. Lamb, Local bifurcation in symmetric coupled cell networks: linear theory, Physica D 223, 1 (2006), 93−108. Article MathSciNet
Jeroen S. W. Lamb, Ian Melbourne, and Claudia Wulff, Hopf bifurcation from relative periodic solutions; secondary bifurcations from meandering spirals, Journal of Difference Equations and Applications 12, 11 (2006), 1127−1145. Article MathSciNet

2005

Claudio A. Buzzi and Jeroen S. W. Lamb, Reversible equivariant Hopf bifurcation, Archive for Rational Mechanics and Analysis 175, 1 (2005), 39−84. Article MathSciNet

2003

Jeroen S. W. Lamb, Ian Melbourne, and Claudia Wulff, Bifurcation from periodic solutions with spatiotemporal symmetry, including resonances and mode interactions, Journal of Differential Equations 191, 2 (2003), 377−407. Article MathSciNet

2002

Jeroen S. W. Lamb and Claudia Wulff, Reversible relative periodic orbits, Journal of Differential Equations 178, 1 (2002), 60−100. Article MathSciNet
R. Mark Roberts, Claudia Wulff, and Jeroen S. W. Lamb, Hamiltonian systems near relative equilibria, Journal of Differential Equations 179, 2 (2002), 562−604. Article MathSciNet

2001

Claudia Wulff, Jeroen S. W. Lamb, and Ian Melbourne, Bifurcation from relative periodic solutions, Ergodic Theory and Dynamical Systems 21, 2 (2001), 605−635. Article MathSciNet

2000

Jeroen S. W. Lamb, Ian Melbourne, and Claudia Wulff, Bifurcation from periodic and relative periodic solutions in equivariant dynamical systems, in: International Conference on Differential Equations, Vol. 1, 2 (Berlin, 1999), 175−185, World Scientific, River Edge, New Jersey, 2000. MathSciNet

1999

Jeroen S. W. Lamb and Ian Melbourne, Bifurcation from discrete rotating waves, Archive for Rational Mechanics and Analysis 149, 3 (1999), 229−270. Article MathSciNet
Jeroen S. W. Lamb and Ian Melbourne, Bifurcation from periodic solutions with spatiotemporal symmetry, in: Pattern formation in continuous and coupled systems (Minneapolis, MN, IMA Vol. Math. Appl., 175−191, Springer, New York, 1999. Article MathSciNet
Jeroen S. W. Lamb and R. Mark Roberts, Reversible equivariant linear systems, Journal of Differential Equations 159, 1 (1999), 239−279. Article MathSciNet

1998

Bernold Fiedler and Dmitry Turaev, Normal forms, resonances, and meandering tip motions near relative equilibria of Euclidean group actions, Archive for Rational Mechanics and Analysis 145, 2 (1998), 129−159. Article MathSciNet
Jeroen S. W. Lamb, k-symmetry and return maps of spacetime symmetric flows, Nonlinearity 11, 3 (1998), 601−629. Article MathSciNet
Jeroen S. W. Lamb and Matthew Nicol, On symmetric attractors in reversible dynamical systems, Physica D 112, 1−2 (1998), 281−297. Article MathSciNet
Jeroen S. W. Lamb and John A. G. Roberts, Time-reversal symmetry in dynamical systems: a survey, Physica D 112, 1−2 (1998), 1−39. Article MathSciNet

1997

Jeroen S. W. Lamb, k-Symmetric maps modeling space-time symmetric flows, in: GROUP21, Physical Applications and Mathematical Aspects of Geometry, Groups, and Algebras, 865−870, World Scientific, Singapore, 1997.
Leonid P. Shilnikov and Dmitry Turaev, Super-homoclinic orbits and multi-pulse homoclinic loops in Hamiltonian systems with discrete symmetries, Regulyarnaya & Khaoticheskaya Dinamika. Regular & Chaotic Dynamics 2, 3−4 (1997), 126−138. MathSciNet

1996

Bernold Fiedler and Dmitry Turaev, Coalescence of reversible homoclinic orbits causes elliptic resonance, International Journal of Bifurcation and Chaos 6, 6 (1996), 1007−1027. Article MathSciNet
Jeroen S. W. Lamb, Local bifurcations in k-symmetric dynamical systems, Nonlinearity 9, 2 (1996), 537−557. Article MathSciNet

1995

Hanna Brands, Jeroen S. W. Lamb, and Igor Hoveijn, Periodic orbits in k-symmetric dynamical systems, Physica D 84, 3−4 (1995), 460−475. Article MathSciNet
Jeroen S. W. Lamb, Resonant driving and k-symmetry, Physics Letters A 199, 1−2 (1995), 55−60. Article MathSciNet
Jeroen S. W. Lamb and Hans W. Capel, Local bifurcations on the plane with reversing point group symmetry, Chaos, Solitons and Fractals 5, 2 (1995), 271−293. Article MathSciNet
Jeroen S. W. Lamb and G. Reinout W. Quispel, Cyclic reversing k-symmetry groups, Nonlinearity 8, 6 (1995), 1005−1026. Article MathSciNet

1994

Jeroen S. W. Lamb, Stochastic webs with fourfold rotation symmetry, in: Hamiltonian Mechanics: Integrability and Chaotic Behaviour, NATO ASI Series B, 345−352, Plenum, New York, 1994. MathSciNet
Jeroen S. W. Lamb and Hanna Brands, Symmetries and reversing symmetries in kicked systems, in: Dynamics, Bifurcation and Symmetry, new Trends and new Tools, NATO ASI series C, 181−196, Kluwer, Dordrecht, 1994. MathSciNet
Jeroen S. W. Lamb and G. Reinout W. Quispel, Reversing k-symmetries in dynamical systems, Physica D 73, 4 (1994), 277−304. Article MathSciNet
G. Reinout W. Quispel and Jeroen S. W. Lamb, Dynamics and k-symmetries, in: Hamiltonian Mechanics: Integrability and Chaotic Behaviour, NATO ASI Series B, 307−314, Plenum, New York, 1994. MathSciNet

1993

Jeroen S. W. Lamb, Crystallographic symmetries of stochastic webs, Journal of Physics A 26(1993), 2921−2933.
Jeroen S. W. Lamb, John A. G. Roberts, and Hans W. Capel, Conditions for local (reversing) symmetries in dynamical systems, Physica A 197, 3 (1993), 379−422. Article MathSciNet

1992

Jeroen S. W. Lamb, Reversing symmetries in dynamical systems, Journal of Physics A 25, 4 (1992), 925−937. Article MathSciNet