Continuous averaging proof of the Nekhoroshev theorem

Abstract

In this paper we develop the continuous averaging method of Treschev to work on the simultaneous Diophantine approximation and apply the result to give a new proof of the Nekhoroshev theorem. We obtain a sharp normal form theorem and an explicit estimate of the stability constants appearing in the Nekhoroshev theorem.

References in corpus (2)

• Global well-posedness for the critical 2D dissipative quasi-geostrophic equation
• Improved exponential stability for near-integrable quasi-convex Hamiltonians