Arnold Diffusion in a priory chaotic Hamiltonian systems
Dynamical Systems
2014-12-02 v2
Abstract
We assume that a symplectic real-analytic map has an invariant normally hyperbolic cylinder and an associated transverse homoclinic cylinder. It is well known that such cylinder is preserved under small perturbations. We prove that for a generic real- analytic perturbation of this map the boundaries of the cylinder are connected by trajectories of the perturbed map.
Cite
@article{arxiv.1406.2945,
title = {Arnold Diffusion in a priory chaotic Hamiltonian systems},
author = {Vassily Gelfreich and Dmitry Turaev},
journal= {arXiv preprint arXiv:1406.2945},
year = {2014}
}