Improved exponential stability for near-integrable quasi-convex Hamiltonians

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.

Cited by in corpus (6)

• Arnold diffusion for a complete family of perturbations
• Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion
• Computer Assisted Proof of Drift Orbits Along Normally Hyperbolic Manifolds
• Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems
• Continuous averaging proof of the Nekhoroshev theorem
• Analytic Smoothing and Nekhoroshev estimates for Hölder steep Hamiltonians