Arnold's Diffusion in nearly integrable isochronous Hamiltonian systems
Dynamical Systems
2007-05-23 v1 Symplectic Geometry
Abstract
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 Poincar\'e-Melnikov function.
Cite
@article{arxiv.math/0011017,
title = {Arnold's Diffusion in nearly integrable isochronous Hamiltonian systems},
author = {Massimiliano Berti and Philippe Bolle},
journal= {arXiv preprint arXiv:math/0011017},
year = {2007}
}
Comments
32 pages