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Improved exponential stability for near-integrable quasi-convex Hamiltonians

By Abed Bounemoura and Jean-Pierre Marco

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

Topics: Dynamical Systems, Nekhoroshev theory– Arnold diffusion, Hamiltonian Systems, [ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS]
Publisher: IOP Publishing
Year: 2011
OAI identifier: oai:HAL:hal-00470295v2
Provided by: Hal-Diderot

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