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STAFF
  Jeroen Lamb  
  Martin Rasmussen  
  Dmitry Turaev  
  Sebastian van Strien  
RESEARCHERS
Mike Field
POSTDOCS
Fabrizio Bianchi
Trevor Clark
Nikos Karaliolios
Dongchen Li
Sofia Trejo Abad
Paul Verschueren
Björn Winckler
PHD STUDENTS
Alex Athorne
Sajjad Bakrani Balani
Giulia Carigi
Andrew Clarke
Maximilian Engel
Federico Graceffa
Michael Hartl
Giuseppe Malavolta
Guillermo Olicón Méndez
Cezary Olszowiec
Christian Pangerl
Matteo Tanzi
Kalle Timperi
VISITORS
Shangzhi Li
Ole Peters
Cristina Sargent
Bill Speares
Kevin Webster
RELATED STAFF
Mauricio Barahona
Davoud Cheraghi
Darryl Holm
Greg Pavliotis


PUBLICATIONS




Complete List

BY SUBJECT
Attractors
Bifurcation Theory
Chaos
Computational dynamics
Ergodic theory
Game theory
Hamiltonian systems
Holomorphic dynamics
Homoclinic tangencies
Infinite-dimensional systems
Low-dimensional dynamical systems
Networks
Nonautonomous dynamical systems
Pattern formation
Random dynamical systems
Slow-fast systems
Symmetry
Tilings
Miscellaneous

Symmetry

Preprints
  • Jürgen Knobloch, Jeroen S. W. Lamb, and Kevin N. Webster, Shift dynamics near non-elementary T-points with real eigenvalues, to appear in: Journal of Difference Equations and Applications. DynamIC Preprint 2017-1
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