典型文献
Existence of invariant curves with prescribed frequency for degenerate area preserving mappings
文献摘要：
We consider small perturbations of analytic non-twist area preserving mappings,and prove the existence of invariant curves with prescribed frequency by KAM iteration.Generally speaking,the frequency of invariant curve may undergo some drift,if the twist condition is not satisfied.But in this paper,we deal with a degenerate situation where the unperturbed rotation angle function r → ω+r2n+1 is odd order degenerate at r=0,and prove the existence of invariant curve without any drift in its frequency.Furthermore,we give a more general theorem on the existence of invariant curves with prescribed frequency for non-twist area preserving mappings and discuss the case of degeneracy with various orders.
文献关键词：
中图分类号：
作者姓名：
Dongfeng ZHANG;Hao WU
作者机构：
School of Mathematics,Southeast University,Nanjing 210096,China
文献出处：
引用格式：
[1]Dongfeng ZHANG;Hao WU-.Existence of invariant curves with prescribed frequency for degenerate area preserving mappings)[J].中国数学前沿,2022(06):1133-1155
A类：
+r2n+1
B类：
Existence,invariant,curves,prescribed,frequency,degenerate,area,preserving,mappings,We,consider,small,perturbations,analytic,twist,prove,existence,by,KAM,iteration,Generally,speaking,may,undergo,some,drift,condition,not,satisfied,But,this,paper,we,deal,situation,where,unperturbed,rotation,angle,function,odd,without,any,its,Furthermore,give,general,theorem,discuss,case,degeneracy,various,orders
AB值：
0.525459
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