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STAFF
  Jeroen Lamb  
  Martin Rasmussen  
  Dmitry Turaev  
  Sebastian van Strien  
RESEARCHERS
Mike Field
POSTDOCS
Fabrizio Bianchi
Trevor Clark
Nikos Karaliolios
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
Anna Maria Cherubini
Bill Speares
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

Hamiltonian systems

2017
  • Vassili Gelfreich and Dmitry Turaev, Arnold diffusion in a priori chaotic symplectic maps, Communications in Mathematical Physics 353, 2 (2017), 507−547. Article MathSciNet
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
2015
  • Tiago Pereira and Dmitry Turaev, Fast Fermi acceleration and entropy growth, Mathematical Modelling of Natural Phenomena 10, 3 (2015), 31−47. Article MathSciNet Preprint
  • Tiago Pereira and Dmitry Turaev, Exponential energy growth in adiabatically changing Hamiltonian systems, Physical Review E 91, 1 (2015), 010910(R), 4. Article MathSciNet Preprint
  • Kushal Shah, Vassili Gelfreich, Vered Rom-Kedar, and Dmitry Turaev, Leaky Fermi accelerators, Physical Review E 91, 6 (2015), 062920, 7. Article MathSciNet Preprint
2014
  • Vassili Gelfreich, Vered Rom-Kedar, and Dmitry Turaev, Oscillating mushrooms: adiabatic theory for a non-ergodic system, Journal of Physics A 47, 39 (2014), 395101, 21. MathSciNet
  • Dmitry Turaev, Hyperbolic sets near homoclinic loops to a saddle for systems with a first integral, Regular and Chaotic Dynamics 19, 6 (2014), 681−693. Article MathSciNet Preprint
  • Dmitry Turaev, Christopher Warner, and Sergey Zelik, Energy growth for a nonlinear oscillator coupled to a monochromatic wave, Regular and Chaotic Dynamics 19, 4 (2014), 513−522. Article MathSciNet
2012
  • Vassili Gelfreich, Vered Rom-Kedar, and Dmitry Turaev, Fermi acceleration and adiabatic invariants for non-autonomous billiards, Chaos. An Interdisciplinary Journal of Nonlinear Science 22, 3 (2012), 033116, 21. Article MathSciNet Preprint
  • Vered Rom-Kedar and Dmitry Turaev, Billiards: a singular perturbation limit of smooth Hamiltonian flows, Chaos. An Interdisciplinary Journal of Nonlinear Science 22, 2 (2012), 026102, 21. Article MathSciNet Preprint
2011
  • Oleg Makarenkov, Luisa Malaguti, and Paolo Nistri, On the behavior of periodic solutions of planar autonomous Hamiltonian systems with multivalued periodic perturbations, Zeitschrift für Analysis und ihre Anwendungen 30, 2 (2011), 129−144. Article MathSciNet
  • Georg Ostrovski and Sebastian van Strien, Piecewise linear Hamiltonian flows associated to zero-sum games: transition combinatorics and questions on ergodicity, Regular and Chaotic Dynamics 16, 1−2 (2011), 128−153. Article MathSciNet
  • Sebastian van Strien, Hamiltonian flows with random-walk behaviour originating from zero-sum games and fictitious play, Nonlinearity 24, 6 (2011), 1715−1742. Article MathSciNet
2010
  • Vassili Gelfreich and Dmitry Turaev, Universal dynamics in a neighborhood of a generic elliptic periodic point, Regular and Chaotic Dynamics 15, 2−3 (2010), 159−164. Article MathSciNet
  • Vered Rom-Kedar and Dmitry Turaev, The symmetric parabolic resonance, Nonlinearity 23, 6 (2010), 1325−1351. Article MathSciNet
  • Kushal Shah, Dmitry Turaev, and Vered Rom-Kedar, Exponential energy growth in a Fermi accelerator, Physical Review E 81, 5 (2010), 056205, 6. Article MathSciNet
2009
  • Sergey V. Gonchenko, Leonid P. Shilnikov, and Dmitry Turaev, On global bifurcations in three-dimensional diffeomorphisms leading to wild Lorenz-like attractors, Regular and Chaotic Dynamics 14, 1 (2009), 137−147. Article MathSciNet
2008
  • Vassili Gelfreich and Dmitry Turaev, Unbounded energy growth in Hamiltonian systems with a slowly varying parameter, Communications in Mathematical Physics 283, 3 (2008), 769−794. Article MathSciNet
  • Vassili Gelfreich and Dmitry Turaev, Fermi acceleration in non-autonomous billiards, Journal of Physics A 41, 21 (2008), 212003, 6. Article MathSciNet
  • Anna Rapoport, Vered Rom-Kedar, and Dmitry Turaev, Stability in high dimensional steep repelling potentials, Communications in Mathematical Physics 279, 2 (2008), 497−534. Article MathSciNet
2007
  • Sergey V. Gonchenko, Dmitry Turaev, and Leonid P. Shilnikov, Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps, Nonlinearity 20, 2 (2007), 241−275. Article MathSciNet
  • Anna Rapoport, Vered Rom-Kedar, and Dmitry Turaev, Approximating multi-dimensional Hamiltonian flows by billiards, Communications in Mathematical Physics 272, 3 (2007), 567−600. Article MathSciNet
  • Martijn van Noort, Mason A. Porter, Yingfei Yi, and Shui-Nee Chow, Quasiperiodic dynamics in Bose-Einstein condensates in periodic lattices and superlattices, Journal of Nonlinear Science 17, 1 (2007), 59−83. Article MathSciNet
2006
  • Sergey V. Gonchenko, Dmitry Turaev, and Leonid P. Shilnikov, Homoclinic tangencies of arbitrary order in conservative two-dimensional mappings, Rossiĭskaya Akademiya Nauk. Doklady Akademii Nauk 407, 3 (2006), 299−303. MathSciNet
  • Bob Rink, Proof of Nishida's conjecture on anharmonic lattices, Communications in Mathematical Physics 261, 3 (2006), 613−627. Article MathSciNet
  • R. Mark Roberts, Tanya Schmah, and Cristina Stoica, Relative equilibria in systems with configuration space isotropy, Journal of Geometry and Physics 56, 5 (2006), 762−779. 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
2004
  • Sergey V. Gonchenko, Dmitry Turaev, and Leonid P. Shilnikov, The existence of a countable set of elliptic periodic trajectories in four-dimensional symplectic mappings with a homoclinic tangency, Trudy Matematicheskogo Instituta Imeni V. A. Steklova. Rossiĭskaya Akademiya Nauk 244, Din. Sist. i Smezhnye Vopr. Geom. (2004), 115−142. 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
  • Dmitry Turaev and Vered Rom-Kedar, Soft billiards with corners, Journal of Statistical Physics 112, 3−4 (2003), 765−813. Article MathSciNet
2002
  • 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
  • Dmitry Turaev, Multi-pulse homoclinic loops in systems with a smooth first integral, in: Ergodic theory, analysis, and efficient simulation of dynamical systems, 691−716, Springer, Berlin, 2001. MathSciNet
1999
  • Vered Rom-Kedar and Dmitry Turaev, Big islands in dispersing billiard-like potentials, Physica D 130, 3−4 (1999), 187−210. Article MathSciNet
1998
  • Sergey V. Gonchenko, Leonid P. Shilnikov, and Dmitry Turaev, Elliptic periodic orbits near a homoclinic tangency in four-dimensional symplectic maps and Hamiltonian systems with three degrees of freedom, Regular and Chaotic Dynamics 3, 4 (1998), 3−26. Article MathSciNet
  • Dmitry Turaev and Vered Rom-Kedar, On smooth Hamiltonian flows limited to ergodic billiards, in: Chaos, kinetics and nonlinear dynamics in fluids and plasmas (Carry-Le Rouet, 1997), Lecture Notes in Phyics, 17−50, Springer, Berlin, 1998. Article MathSciNet
  • Dmitry Turaev and Vered Rom-Kedar, Elliptic islands appearing in near-ergodic flows, Nonlinearity 11, 3 (1998), 575−600. Article MathSciNet
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
  • Jeroen S. W. Lamb, Area-preserving dynamics that is not reversible, Physica A 228, 1−4 (1996), 344−365. 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
1993
  • Jeroen S. W. Lamb, Crystallographic symmetries of stochastic webs, Journal of Physics A 26(1993), 2921−2933.
1992
  • Jeroen S. W. Lamb, The ferro-antiferro bifurcation transition in a microscopic model with incommensurate phases, Journal of Physics A 25(1992), 355−365.
1989
  • Vladimir M. Eleonskiĭ, Nikolai E. Kulagin, Dmitry Turaev, and Leonid P. Shilnikov, Classification of self-localized states of an electromagnetic field in a nonlinear medium, Doklady Akademii Nauk SSSR 309, 4 (1989), 848−852. MathSciNet
  • Dmitry Turaev and Leonid P. Shilnikov, Hamiltonian systems with homoclinic saddle curves, Doklady Akademii Nauk SSSR 304, 4 (1989), 811−814. MathSciNet