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arXiv · 1210.3884

Continuous averaging proof of the Nekhoroshev theorem

Jinxin Xue
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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.

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Jinxin Xue. 2012-10-15. Continuous averaging proof of the Nekhoroshev theorem. https://doi.org/10.3934/dcds.2015.35.3827

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