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Slow-fast systems
Preprints
- 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
- Nikolaos Karaliolios, Differentiable Rigidity for quasiperiodic cocycles in compact Lie groups. DynamIC Preprint 2016-9
2018
- Christian Kuehn, Giuseppe Malavolta, and Martin Rasmussen, Early-warning signals for bifurcations in random dynamical systems with bounded noise, Journal of Mathematical Analysis and Applications 464, 1 (2018), 58−77. Article MathSciNet Preprint
2017
- 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
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, 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 and Rafael Ortega, Asymptotic stability of forced oscillations emanating from a limit cycle, Journal of Differential Equations 250, 1 (2011), 39−52. Article MathSciNet
2010
- 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
2006
- Sergey V. Gonchenko, Klaus R. Schneider, and Dmitry Turaev, Quasiperiodic regimes in multisection semiconductor lasers, Regular and Chaotic Dynamics 11, 2 (2006), 213−224. Article MathSciNet
2005
- Andrey Shilnikov, Leonid P. Shilnikov, and Dmitry Turaev, Blue-sky catastrophe in singularly perturbed systems, Moscow Mathematical Journal 5, 1 (2005), 269−282. MathSciNet
2003
- Dmitry Turaev and Vered Rom-Kedar, Soft billiards with corners, Journal of Statistical Physics 112, 3−4 (2003), 765−813. Article MathSciNet
- Kevin N. Webster and John N. Elgin, Asymptotic analysis of the Michelson system, Nonlinearity 16, 6 (2003), 2149−2162. Article 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
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