English

Improved exponential stability for near-integrable quasi-convex Hamiltonians

Dynamical Systems 2015-05-18 v1

Abstract

In this article, we improve previous results on exponential stability for analytic and Gevrey perturbations of quasi-convex integrable Hamiltonian systems. In particular, this provides a sharper upper bound on the speed of Arnold diffusion which we believe to be optimal.

Keywords

Cite

@article{arxiv.1004.1462,
  title  = {Improved exponential stability for near-integrable quasi-convex Hamiltonians},
  author = {Abed Bounemoura and Jean-Pierre Marco},
  journal= {arXiv preprint arXiv:1004.1462},
  year   = {2015}
}