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. |
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