Arnold's Diffusion in nearly integrable isochronous Hamiltonian systems

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We consider the problem of Arnold's diffusion for nearly integrable isochronous Hamiltonian systems. We prove a shadowing theorem which improves the known estimates for the diffusion time. We also develop a new method for measuring the splitting of the separatrices. As an application we justify, for three time scales systems, that the splitting is correctly predicted by the Poincaré-Melnikov function.
32 pages

Keywords

Dynamical Systems, Symplectic Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/60275

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0011017
 http://arxiv.org/abs/math/0011017

Collections

arXiv