Hyperbolicity of C 1-star invariant sets for C 1-class dynamical systems

被引：3
|
作者：
Dai XiongPing [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2011年 / 54卷 / 02期
基金：
中国国家自然科学基金;
关键词：
autonomous differential system; star property; hyperbolicity; EXPANSIVE HOMOCLINIC CLASSES; SHADOWABLE CHAIN COMPONENTS; SATISFY AXIOM; CLOSING LEMMA;
D O I：
10.1007/s11425-010-4090-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we simply prove, in the framework of Liao, the hyperbolicity of C (1)-star invariant sets of C (1)-class differential systems on a closed manifold of dimension a (c) 1/2 4, without using the C (1)-connecting lemma and even the ergodic closing lemma.
引用
收藏
页码：269 / 280
页数：12
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