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Gevrey regularity of invariant curves ofanalytic area preserving mappings
ZHANG Dongfeng *
Department of Mathematics,Southeast University, NanJing 210096
*Correspondence author
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Funding: 教育部博士点新教师基金(No.200802861043), NSFC(No.11001048)
Opened online:17 January 2012
Accepted by: none
Citation: ZHANG Dongfeng.Gevrey regularity of invariant curves ofanalytic area preserving mappings[OL]. [17 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4460611
 
 
In this paper we prove the existence of aGevrey family of invariant curves for analytic area preserving mappings.The Gevrey smoothness is expressedby Gevrey index. we specifically obtain the Gevreyindex of invariant curve which is related to smoothness ofarea preserving mapping and the exponent of the smalldivisors condition. Moreover, weobtain a Gevrey normal form of the area preserving mappings in aneighborhood of the union of the invariantcurves.
Keywords:Invariant curve; area preserving mapping; Gevrey index; KAM iteration
 
 
 

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