Year: 2014
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Gelfreich, Vassily, Turaev, Dmitry
Institutions: University of Warwick, Imperial College London
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G2289782400, G60209982, G7112719169
OpenAlex ID: W1524836624