On lower dimensional invariant tori in Cd reversible systems

被引：8

作者：

Zhang, Jing ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2008年 / 29卷 / 05期

基金：

中国国家自然科学基金;

关键词：

reversible systems; lower dimensional invariant tori; KAM step;

D O I：

10.1007/s11401-008-0082-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a result on the persistence of lower dimensional invariant tori in C(d) reversible systems is obtained under some conditions. The theorem is proved for any d which is larger than some constants.

引用

页码：459 / 486

页数：28

共 50 条

[1] On lower dimensional invariant tori in Cd reversible systems
Jing Zhang
Chinese Annals of Mathematics, Series B, 2008, 29 : 459 - 486
[2] On Lower Dimensional Invariant Tori in C~d Reversible Systems
Jing ZHANG School of Mathematical Sciences
Chinese Annals of Mathematics, 2008, (05) : 459 - 486
[3] COMPLETELY DEGENERATE LOWER-DIMENSIONAL INVARIANT TORI IN REVERSIBLE SYSTEMS
Jing, Tianqi
Si, Wen
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 149 (10) : 4247 - 4260
[4] Persistence of multi-dimensional degenerate hyperbolic lower dimensional invariant tori in reversible systems ?
Yang, Xiaomei
Xu, Junxiang
JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 346 : 229 - 253
[5] Degenerate lower dimensional tori in reversible systems
Wang, Xiaocai
Xu, Junxiang
Zhang, Dongfeng
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 387 (02) : 776 - 790
[6] PERSISTENCE OF LOWER DIMENSIONAL ELLIPTIC INVARIANT TORI FOR A CLASS OF NEARLY INTEGRABLE REVERSIBLE SYSTEMS
Wang, Xiaocai
Xu, Junxiang
Zhang, Dongfeng
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2010, 14 (03): : 1237 - 1249
[7] Invariant tori for semilinear reversible systems
Li, X
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 56 (01) : 133 - 146
[8] Persistence of Lower Dimensional Tori for a Class of Nearly Integrable Reversible Systems
Xiaocai Wang
Dongfeng Zhang
Junxiang Xu
Acta Applicandae Mathematicae, 2011, 115 : 193 - 207
[9] Persistence of Lower Dimensional Tori for a Class of Nearly Integrable Reversible Systems
Wang, Xiaocai
Zhang, Dongfeng
Xu, Junxiang
ACTA APPLICANDAE MATHEMATICAE, 2011, 115 (02) : 193 - 207
[10] A New KAM Theorem for the Hyperbolic Lower Dimensional Tori in Reversible Systems
Xiaocai Wang
Junxiang Xu
Dongfeng Zhang
Acta Applicandae Mathematicae, 2016, 143 : 45 - 61

← 1 2 3 4 5 →