CORC  > 北京大学  > 数学科学学院
On the dominated splitting of Lyapunov stable aperiodic classes
Wang, Xiaodong
2015
关键词aperiodic class Lyapunov stable dominated splitting chain recurrence class pseudo-orbit partially hyperbolic homoclinic class PARTIALLY HYPERBOLIC SYSTEMS HOMOCLINIC CLASSES TRANSITIVE SETS DIFFEOMORPHISMS TANGENCIES DYNAMICS LEMMA C-1
英文摘要We show in this paper that, generically, a non-trivial dominated splitting implies partial hyperbolicity for an aperiodic class if it is Lyapunov stable. More precisely, for C-1-generic diffeomorphisms, if a Lyapunov stable aperiodic class has a non-trivial dominated splitting E circle plus F, then one of the two bundles is hyperbolic (either E is contracted or F is expanded).; SCI(E); ARTICLE; xdwang1987@gmail.com; 11; 4209-4226; 28
语种中文
出处SCI
出版者NONLINEARITY
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/439285]  
专题数学科学学院
推荐引用方式
GB/T 7714
Wang, Xiaodong. On the dominated splitting of Lyapunov stable aperiodic classes. 2015-01-01.
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