CORC  > 北京大学  > 数学科学学院
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.
个性服务
查看访问统计
相关权益政策
暂无数据
收藏/分享
所有评论 (0)
暂无评论
 

除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。


©版权所有 ©2017 CSpace - Powered by CSpace