paper

Improved exponential stability for near-integrable quasi-convex Hamiltonians

arXiv:1004.1014

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.

Improved exponential stability for near-integrable quasi-convex Hamiltonians · wovepaper