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  Jeroen Lamb  
  Martin Rasmussen  
  Dmitry Turaev  
  Sebastian van Strien  
Tiago Pereira
Dongchen Li
Iacopo Longo
Eeltje Nijholt
Doan Thai Son
Bernat Bassols-Cornudella
Chris Chalhoub
Hugo Chu
Matheus de Castro
Akshunna Dogra
Michal Fedorowicz
David Fox
Emilia Gibson
Vincent Goverse
Amir Khodaeian Karim
Victoria Klein
Chek Lau
Ziyu Li
Tianyi Liu
Dmitrii Mints
Leon Staresinic
Giuseppe Tenaglia
Ole Peters
Cristina Sargent
Bill Speares
Mauricio Barahona
Davoud Cheraghi
Martin Hairer
Darryl Holm
Xue-Mei Li
Greg Pavliotis
Kevin Webster


Complete List

Bifurcation Theory
Computational dynamics
Ergodic theory
Game theory
Hamiltonian systems
Holomorphic dynamics
Homoclinic tangencies
Infinite-dimensional systems
Low-dimensional dynamical systems
Nonautonomous dynamical systems
Pattern formation
Random dynamical systems
Slow-fast systems

Hamiltonian systems

  • Andrew Clarke, Generic Properties of Geodesic Flows on Convex Hypersurfaces of Euclidean Space. DynamIC Preprint 2019-9
  • Andrew Clarke and Dmitry Turaev, Arnold diffusion in multi-dimensional convex billiards. DynamIC Preprint 2019-8
  • 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
  • Alessandro Duca, Romain Joly, and Dmitry Turaev, Permuting quantum eigenmodes by a quasi-adiabatic motion of a potential wall, Journal of Mathematical Physics 61, 10 (2020), 101511, 15. Article MathSciNet
  • 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
  • Carl P. Dettmann, Vitaly Fain, and Dmitry Turaev, Splitting of separatrices, scattering maps, and energy growth for a billiard inside a time-dependent symmetric domain close to an ellipse, Nonlinearity 31, 3 (2018), 667−700. Article MathSciNet
  • Vassili Gelfreich and Dmitry Turaev, Arnold diffusion in a priori chaotic symplectic maps, Communications in Mathematical Physics 353, 2 (2017), 507−547. Article MathSciNet
  • Kushal Shah, Dmitry Turaev, Vassili Gelfreich, and Vered Rom-Kedar, Equilibration of energy in slow-fast systems, Proceedings of the National Academy of Sciences of the United States of America 114, 49 (2017), E10514−E10523. Article MathSciNet
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • Vered Rom-Kedar and Dmitry Turaev, Big islands in dispersing billiard-like potentials, Physica D 130, 3−4 (1999), 187−210. Article MathSciNet
  • 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
  • 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
  • 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, 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, Crystallographic symmetries of stochastic webs, Journal of Physics A 26(1993), 2921−2933.
  • Jeroen S. W. Lamb, The ferro-antiferro bifurcation transition in a microscopic model with incommensurate phases, Journal of Physics A 25(1992), 355−365.
  • 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