Invariant Curves of Analytic Reversible Mappings Under Brjuno-Russmann's Non-resonant Condition

被引：14
|
作者：
Zhang, Dongfeng [1 ]
Xu, Junxiang [1 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2014年 / 26卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Invariant curves; Reversible mappings; Brjuno-Russmann's non-resonant condition; KAM iteration; QUASI-PERIODIC DYNAMICS; BOUNDEDNESS; TRANSITION; EQUATIONS; SYSTEMS; KAM;
D O I：
10.1007/s10884-014-9366-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove the existence of invariant curves for analytic reversible mappings under Brjuno-Russmann's non-resonant condition. In the proof we use the polynomial structure of function to truncate, introduce a parameter and make the steps of KAM iteration infinitely small in the speed of function rather than super exponential function.
引用
收藏
页码：989 / 1005
页数：17
相关论文
共 23 条
123