Fast Arnold Diffusion in three time scale systems
Dynamical Systems
2007-05-23 v1
Abstract
We consider the problem of Arnold Diffusion for nearly integrable partially isochronous Hamiltonian systems with three time scales. By means of a careful shadowing analysis, based on a variational technique, we prove that, along special directions, Arnold diffusion takes place with fast (polynomial) speed, even though the ``splitting determinant'' is exponentially small.
Cite
@article{arxiv.math/0103065,
title = {Fast Arnold Diffusion in three time scale systems},
author = {Massimiliano Berti and Philippe Bolle},
journal= {arXiv preprint arXiv:math/0103065},
year = {2007}
}