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arXiv:1004.1014 [math.DS]AbstractReferencesReviewsResources

Improved exponential stability for near-integrable quasi-convex Hamiltonians

Abed Bounemoura, Jean-Pierre Marco

Published 2010-04-07, updated 2010-11-08Version 2

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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