Improved exponential stability for near-integrable quasi-convex Hamiltonians

Abed Bounemoura (1, 2) , Jean-Pierre Marco (2)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay
2 IMJ - Institut de Mathématiques de Jussieu

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.

Mots clés: Nekhoroshev theory– Arnold diffusion; Dynamical Systems; Hamiltonian Systems

Domaines: Systèmes dynamiques [math.DS]

Abed Bounemoura, Jean-Pierre Marco. Improved exponential stability for near-integrable quasi-convex Hamiltonians. Nonlinearity, 2011, 24 (1), pp.97-112. ⟨hal-00470295v2⟩