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

作　　者：DAI XiongPing 

机构地区：[1]Department of Mathematics, Nanjing University, Nanjing 210093, China

出　　处：《Science China Mathematics》2011年第2期269-280,共12页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 10671088);National Basic Research Program of China (973 Project) (Grant No. 2006CB805903)

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≤ 4, without using the C 1 -connecting lemma and even the ergodic closing lemma.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≤ 4, without using the C 1 -connecting lemma and even the ergodic closing lemma.

关 键 词：autonomous differential system star property HYPERBOLICITY 

分 类 号：O175.27[理学—数学] O175.1[理学—基础数学]