Existence of Invariant Tori in Reversible Mappings

被引：0

作者：

Sheng Qing HU

机构：

[1] SchoolofMathematicalSciences,PekingUniversity

来源：

Acta Mathematica Sinica | 2019年 / 35卷 / 09期

关键词：

D O I：

暂无

中图分类号：

O174 [函数论];

学科分类号：

070104 ;

摘要：

In this paper, we study reversible diffeomorphisms with n angular variables and only one action variable. Under some reasonable non-degeneracy conditions, we prove that the reversible diffeomorphisms sufficiently close to the integrable ones preserve a large set of n-dimensional invariant tori.

引用

页码：1419 / 1452

页数：34

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