Non-uniformly hyperbolic flows and shadowing | |
Sun, Wenxiang ; Tian, Xueting ; Vargas, Edson | |
2016 | |
关键词 | Flow Shadowing Hyperbolic measure Oseledec splitting Dominated splitting Liao-Pesin set DIFFEOMORPHISMS |
英文摘要 | We consider a hyperbolic ergodic measure of a C-1 flow on a compact manifold. Under the hypothesis that there are no fixed points and that the Oseledec splitting of the normal bundle satisfies a limit domination property, we prove that the measure has a shadowing property. As an application of this result we prove that the measure can be approached on the weak* topology by measures supported on hyperbolic periodic orbits. (C) 2016 Elsevier Inc. All rights reserved.; FAPESP [2015/09133-9]; FAPESP/Brazil; SCI(E); ARTICLE; sunwx@math.pku.edu.cn; xuetingtian@fudan.edu.cn; vargas@ime.usp.br; 1; 218-235; 261 |
语种 | 英语 |
出处 | SCI |
出版者 | JOURNAL OF DIFFERENTIAL EQUATIONS |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/438089] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Sun, Wenxiang,Tian, Xueting,Vargas, Edson. Non-uniformly hyperbolic flows and shadowing. 2016-01-01. |
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