J
Jean-Marie Strelcyn
Researcher at University of Rouen
Publications - 26
Citations - 4429
Jean-Marie Strelcyn is an academic researcher from University of Rouen. The author has contributed to research in topics: Hamiltonian system & Dynamical systems theory. The author has an hindex of 16, co-authored 26 publications receiving 4143 citations. Previous affiliations of Jean-Marie Strelcyn include University of Paris & Institut Galilée.
Papers
More filters
Journal ArticleDOI
Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory
TL;DR: In this paper, a method for computing all of the Lyapunov characteristic exponents of order greater than one is presented, which is related to the increase of volumes of a dynamical system.
Journal ArticleDOI
Kolmogorov entropy and numerical experiments
TL;DR: In this paper, a numerical study of the Kolmogorov entropy for the H\'enon-Heiles model is presented, based on mathematical results of Oseledec and Piesin.
Journal ArticleDOI
Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical application
TL;DR: In this article, the authors give an explicit method for computing all Lyapunov Characteristic Exponents of a dynamical system, together with some numerical examples for mappings on manifolds and for Hamiltonian systems.
Journal ArticleDOI
A proof of the estimation from below in Pesin's entropy formula
TL;DR: In this article, the authors gave a proof of the Pesin entropy formula in a very general setting, and showed that it can be used to prove the existence of the PDE.
Journal ArticleDOI
A proof of Kolmogorov’s theorem on invariant tori using canonical transformations defined by the Lie method
TL;DR: In this article, a proof of Kolmogorov's theorem on the existence of invariant tori in nearly integrable Hamiltonian systems is given, with the only difference being in the way canonical transformations near the identity are defined.