Continuous averaging proof of the Nekhoroshev theorem
Dynamical Systems
2016-08-11 v1
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.
Keywords
Cite
@article{arxiv.1210.3884,
title = {Continuous averaging proof of the Nekhoroshev theorem},
author = {Jinxin Xue},
journal= {arXiv preprint arXiv:1210.3884},
year = {2016}
}