Improved exponential stability for near-integrable quasi-convex Hamiltonians

2010/04/07 by Bounemoura, Abed, Marco, Jean-Pierre
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/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.

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