Nekhoroshev estimates for commuting nearly integrable symplectomorphisms

被引：0
|
作者：
Jinxin Xue
机构：
[1] University of Chicago,
来源：
Regular and Chaotic Dynamics | 2017年 / 22卷
关键词：
Nekhoroshev estimates; commuting symplectomorphisms; generating functions; resonances; 37J25; 37J40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove the Nekhoroshev estimates for commuting nearly integrable symplectomorphisms. We show quantitatively how ℤm symmetry improves the stability time. This result can be considered as a counterpart of Moser’s theorem [11] on simultaneous conjugation of commuting circle maps in the context of Nekhoroshev stability. We also discuss the possibility of Tits’ alternative for nearly integrable symplectomorphisms.
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页码：248 / 265
页数：17
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