Jeroen Lamb – Dynamical Systems at Imperial College London (DynamIC)

Jeroen S. W. Lamb, Martin Rasmussen, and Wei Hao Tey, Attractors of Linear Maps with Bounded Noise. DynamIC Preprint 2023-2
Konstantinos Kourliouros, Jeroen S. W. Lamb, Martin Rasmussen, Wei Hao Tey, Kalle G. Timperi, and Dmitry Turaev, Persistence of minimal invariant sets for certain set-valued dynamical systems: a boundary mapping approach. DynamIC Preprint 2023-1
Matheus M. Castro, Vincent P. H. Goverse, Jeroen S. W. Lamb, and Martin Rasmussen, On the quasi-ergodicity of absorbing Markov chains with unbounded transition densities, including random logistic maps with escape. DynamIC Preprint 2022-2
Matheus M. Castro, Dennis Chemnitz, Hugo Chu, Maximilian Engel, Jeroen S. W. Lamb, and Martin Rasmussen, The Lyapunov spectrum for conditioned random dynamical systems. DynamIC Preprint 2022-1
Matheus M. Castro, Jeroen S. W. Lamb, Guillermo Olicón Méndez, and Martin Rasmussen, Existence and uniqueness of quasi-stationary and quasi-ergodic measures for absorbing Markov chains: a Banach lattice approach . DynamIC Preprint 2021-3
Jeroen S. W. Lamb, Martin Rasmussen, and Kalle Timperi, On boundaries of epsilon-neighbourhoods of planar sets, Part II: global structure and curvature. DynamIC Preprint 2021-2
Jeroen S. W. Lamb, Martin Rasmussen, and Kalle Timperi, On boundaries of epsilon-neighbourhoods of planar sets, Part I: Singularities. DynamIC Preprint 2020-7
Mickael D. Chekroun, Jeroen S.W. Lamb, Christian J. Pangerl, and Martin Rasmussen, A Girsanov approach to slow parameterizing manifolds in the presence of noise. DynamIC Preprint 2019-7
Thai Son Doan, Jeroen S.W. Lamb, Julian Newman, and Martin Rasmussen, Classification of random circle homeomorphisms up to topological conjugacy. DynamIC Preprint 2018-3

2022

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

Jaap Eldering, Jeroen S. W. Lamb, Tiago Pereira, and Edmilson Roque dos Santos, Chimera states through invariant manifold theory, Nonlinearity 34, 8 (2021), 5344−5374. Article MathSciNet Preprint

2020

Davide Faranda, Isaac Pérez Castillo, Oliver Hulme, Aglaé Jezequel, Jeroen S. W. Lamb, Yuzuru Sato, and Erica L. Thompson, Asymptotic estimates of SARS-CoV-2 infection counts and their sensitivity to stochastic perturbation, Chaos 30, 5 (2020), 051107, 10. Article MathSciNet Preprint
Jeroen S. W. Lamb, Mauricio F. S. Lima, Ricardo M. Martins, Marco Antonio Teixeira, and Jiazhong Yang, On the Hamiltonian structure of normal forms at elliptic equilibria of reversible vector fields in $\BbbR^4$, Journal of Differential Equations 269, 12 (2020), 11366−11395. Article MathSciNet Preprint

2019

Maximilian Engel, Jeroen S. W. Lamb, and Martin Rasmussen, Bifurcation analysis of a stochastically driven limit cycle, Communications in Mathematical Physics 365, 3 (2019), 935−942. Article MathSciNet Preprint
Maximilian Engel, Jeroen S. W. Lamb, and Martin Rasmussen, Conditioned Lyapunov exponents for random dynamical systems, Transactions of the American Mathematical Society 372, 9 (2019), 6343−6370. Article MathSciNet Preprint

2018

Thai Son Doan, Maximilian Engel, Jeroen S. W. Lamb, and Martin Rasmussen, Hopf bifurcation with additive noise, Nonlinearity 31, 10 (2018), 4567−4601. Article MathSciNet Preprint
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

Mark Callaway, Thai Son Doan, Jeroen S. W. Lamb, and Martin Rasmussen, The dichotomy spectrum for random dynamical systems and pitchfork bifurcations with additive noise, Annales de l'Institut Henri Poincaré Probabilités et Statistiques 53, 4 (2017), 1548−1574. Article MathSciNet Preprint
Anna Maria Cherubini, Jeroen S. W. Lamb, Martin Rasmussen, and Yuzuru Sato, A random dynamical systems perspective on stochastic resonance, Nonlinearity 30, 7 (2017), 2835−2853. Article MathSciNet Preprint
Deniz Eroglu, Jeroen S.W. Lamb, and Tiago Pereira, Synchronisation of chaos and its applications, Contemporary Physics 58, 3 (2017), 207−243. Article

2016

William Giles, Jeroen S.W. Lamb, and Dmitry Turaev, On homoclinic orbits to center manifolds of elliptic-hyperbolic equilibria in Hamiltonian systems, Nonlinearity 29, 10 (2016), 3148−3173. Article MathSciNet Preprint

2015

Boumediene Hamzi, Jeroen S. W. Lamb, and Debra Lewis, A characterization of normal forms for control systems, Journal of Dynamical and Control Systems 21, 2 (2015), 273−284. Article MathSciNet
Jeroen S. W. Lamb, Martin Rasmussen, and Christian S. Rodrigues, Topological bifurcations of minimal invariant sets for set-valued dynamical systems, Proceedings of the American Mathematical Society 143, 9 (2015), 3927−3937. 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
Jürgen Knobloch, Jeroen S. W. Lamb, and Kevin N. Webster, Using Lin's method to solve Bykov's problems, Journal of Differential Equations 257, 8 (2014), 2984−3047. Article MathSciNet Preprint

2013

Kamaludin Dingle, Jeroen S. W. Lamb, and Joan-Andreu Lázaro-Camí, Knudsen's law and random billiards in irrational triangles, Nonlinearity 26, 2 (2013), 369−388. Article MathSciNet

2012

Oleg Makarenkov and Jeroen S. W. Lamb, Dynamics and bifurcations of nonsmooth systems: a survey, Physica D 241, 22 (2012), 1826−1844. 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

Pietro-Luciano Buono, Martin Helmer, and Jeroen S. W. Lamb, On the zero set of G-equivariant maps, Mathematical Proceedings of the Cambridge Philosophical Society 147, 3 (2009), 735−755. Article MathSciNet
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
Ale Jan Homburg, Alice C. Jukes, Jürgen Knobloch, and Jeroen S. W. Lamb, Saddle-nodes and period-doublings of Smale horseshoes: a case study near resonant homoclinic bellows, Bulletin of the Belgian Mathematical Society. Simon Stevin 15, 5 (2008), 833−850. 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
Ale Jan Homburg and Jeroen S. W. Lamb, Symmetric homoclinic tangles in reversible systems, Ergodic Theory and Dynamical Systems 26, 6 (2006), 1769−1789. 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 Hamiltonian Liapunov center theorem, Discrete and Continuous Dynamical Systems B 5, 1 (2005), 51−66. MathSciNet
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
Jeroen S. W. Lamb, Marco-Antonio Teixeira, and Kevin N. Webster, Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in R^3, Journal of Differential Equations 219, 1 (2005), 78−115. Article MathSciNet

2004

Edmund O. Harriss and Jeroen S. W. Lamb, Canonical substitutions tilings of Ammann-Beenker type, Theoretical Computer Science 319, 1−3 (2004), 241−279. Article MathSciNet
Jeroen S. W. Lamb and Oleg V. Stenkin, Newhouse regions for reversible systems with infinitely many stable, unstable and elliptic periodic orbits, Nonlinearity 17, 4 (2004), 1217−1244. Article MathSciNet

2003

Igor Hoveijn, Jeroen S. W. Lamb, and R. Mark Roberts, Normal forms and unfoldings of linear systems in eigenspaces of (anti)-automorphisms of order two, Journal of Differential Equations 190, 1 (2003), 182−213. Article MathSciNet
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
Jeroen S. W. Lamb and Claudia Wulff, Pinning and locking of discrete waves, Physics Letters A 267, 2−3 (2000), 167−173. Article 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

Jeroen S. W. Lamb, On the canonical projection method for one-dimensional quasicrystals and invertible substitution rules, Journal of Physics A 31, 18 (1998), L331−L336. 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
Jeroen S. W. Lamb and Frank Wijnands, From multi-site to on-site transfer matrix models for self-similar chains, Journal of Statistical Physics 90, 1−2 (1998), 261−284. 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.

1996

Jeroen S. W. Lamb, Area-preserving dynamics that is not reversible, Physica A 228, 1−4 (1996), 344−365. Article MathSciNet
Jeroen S. W. Lamb, Local bifurcations in k-symmetric dynamical systems, Nonlinearity 9, 2 (1996), 537−557. Article MathSciNet
Jeroen S. W. Lamb and Matthew Nicol, On symmetric omega-limit sets in reversible flows, in: Nonlinear Dynamical Systems and Chaos, Progress in Nonlinear Differential Equations and Their Applications, 103−120, Birkhäuser, Basel, 1996. 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
John A. G. Roberts and Jeroen S. W. Lamb, Self-similarity of period-doubling branching in 3-D reversible mappings, Physica D 82, 4 (1995), 317−332. 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
Zhi Ying Wen, Frank Wijnands, and Jeroen S. W. Lamb, A natural class of generalized Fibonacci chains, Journal of Physics A 27, 11 (1994), 3689−3706. Article 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
Jeroen S. W. Lamb, The ferro-antiferro bifurcation transition in a microscopic model with incommensurate phases, Journal of Physics A 25(1992), 355−365.