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This article is cited in 1 scientific paper (total in 1 paper)
Nekhoroshev Estimates for Commuting Nearly Integrable Symplectomorphisms
Jinxin Xue University of Chicago, Chicago, Il, 60637
Abstract:
In this paper, we prove the Nekhoroshev estimates for commuting nearly integrable
symplectomorphisms. We show quantitatively how $\mathbb{Z}^m$ 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.
Keywords:
Nekhoroshev estimates, commuting symplectomorphisms, generating functions, resonances.
Received: 20.02.2017 Accepted: 05.05.2017
Citation:
Jinxin Xue, “Nekhoroshev Estimates for Commuting Nearly Integrable Symplectomorphisms”, Regul. Chaotic Dyn., 22:3 (2017), 248–265
Linking options:
https://www.mathnet.ru/eng/rcd255 https://www.mathnet.ru/eng/rcd/v22/i3/p248
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Abstract page: | 168 | References: | 54 |
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