On invariant curves ofanalytic non-twist area preserving mappings

ZHANG Dongfeng

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On invariant curves ofanalytic non-twist area preserving mappings

ZHANG Dongfeng *

Department of Mathematics,Southeast University, NanJing 210096

*Correspondence author

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Funding: NSFC（No.11001048）, 教育部博士点新教师基金（No.200802861043）

Opened online:16 January 2012

Accepted by: none

Citation: ZHANG Dongfeng.On invariant curves ofanalytic non-twist area preserving mappings[OL]. [16 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4460285

In this paper we consider small perturbation of analytic non-twistarea preserving mappings, and prove the existence of invariantcurve by KAM iteration. As we know if the twist condition is not satisfied, the frequency of invariant curve may have some drift. But in this paper, we prove that the frequency of invariant curve persists without any drift.

Keywords:Invariant curve; Area preserving mapping; Non-twist condition; KAM iteration

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