%0 Journal Article
%T Arnold Diffusion in a priory chaotic Hamiltonian systems
%A Vassily Gelfreich
%A Dmitry Turaev
%J Mathematics
%D 2014
%I arXiv
%X 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.
%U http://arxiv.org/abs/1406.2945v2