Nekhoroshev's estimates for quasi-periodic time-dependent perturbations
Dynamical Systems
2015-06-23 v1
Abstract
In this paper, we consider a Diophantine quasi-periodic time-dependent analytic perturbation of a convex integrable Hamiltonian system, and we prove a result of stability of the action variables for an exponentially long interval of time. This extends known results for periodic time-dependent perturbations, and partly solves a long standing conjecture of Chirikov and Lochak. We also obtain improved stability estimates close to resonances or far away from resonances, and a more general result without any Diophantine condition.
Keywords
Cite
@article{arxiv.1506.06470,
title = {Nekhoroshev's estimates for quasi-periodic time-dependent perturbations},
author = {Abed Bounemoura},
journal= {arXiv preprint arXiv:1506.06470},
year = {2015}
}