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

[21] Lower dimensional hyperbolic tori in a class of finitely differentiable reversible systems
Zhu Chunpeng
Jia Li
Kong, Yuedong
JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2016, 31 (04) : 439 - 457
[22] 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
[23] 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
[24] 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
[25] A New KAM Theorem for the Hyperbolic Lower Dimensional Tori in Reversible Systems
Wang, Xiaocai
Xu, Junxiang
Zhang, Dongfeng
ACTA APPLICANDAE MATHEMATICAE, 2016, 143 (01) : 45 - 61
[26] Lower dimensional invariant tori in the regions of instability for nearly integrable hamiltonian systems
Cheng, CQ
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 203 (02) : 385 - 419
[27] Persistence of a class of degenerate hyperbolic lower dimensional invariant tori in Hamiltonian systems
Li, Qi
Xu, Junxiang
JOURNAL OF DIFFERENTIAL EQUATIONS, 2025, 433
[28] Gevrey-Smoothness of Elliptic Lower Dimensional Invariant Tori in Hamiltonian Systems
Bingfeng Wang
Yanling Shi
Shunjun Jiang
Qualitative Theory of Dynamical Systems, 2018, 17 : 345 - 366
[29] Persistence of lower dimensional invariant tori on sub-manifolds in Hamiltonian systems
Liu, ZX
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (08) : 1319 - 1342
[30] Persistence of lower-dimensional hyperbolic invariant tori for generalized Hamiltonian systems
Liu, Baifeng
Zhu, Wenzhuang
Han, Yuecai
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 322 (01) : 251 - 275

← 1 2 3 4 5 →