DIFFEOMORPHISMS WITH VARIOUS C-1 STABLE PROPERTIES
文献类型:期刊论文
作者 | Tian Xueting1; Sun Wenxiang3 |
刊名 | ACTA MATHEMATICA SCIENTIA
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出版日期 | 2012 |
卷号 | 32期号:2页码:552-558 |
关键词 | Specification property hyperbolic basic set topologically transitive shadowing property |
ISSN号 | 0252-9602 |
其他题名 | Diffeomorphisms with various C1 stable properties |
英文摘要 | Let M be a smooth compact manifold and Lambda be a compact invariant set. In this article, we prove that, for every robustly transitive set Lambda, f vertical bar(Lambda) satisfies a C-1-generic-stable shadowable property (resp., C-1-generic-stable transitive specification property or C-1-generic-stable barycenter property) if and only if Lambda is a hyperbolic basic set. In particular, f vertical bar(Lambda) satisfies a C-1-stable shadowable property (resp., C-1-stable transitive specification property or C-1-stable barycenter property) if and only if Lambda is a hyperbolic basic set. Similar results are valid for volume-preserving case. |
资助项目 | [CAPES(Brazil)] ; [National Natural Science Foundation] ; [National Basic Research Program of China (973 Program)] |
语种 | 英语 |
CSCD记录号 | CSCD:4527408 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52830] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
作者单位 | 1.中国科学院数学与系统科学研究院 2.University Fed Alagoas, Dept Matemat, BR-57072090 Maceio, Brazil 3.北京大学 |
推荐引用方式 GB/T 7714 | Tian Xueting,Sun Wenxiang. DIFFEOMORPHISMS WITH VARIOUS C-1 STABLE PROPERTIES[J]. ACTA MATHEMATICA SCIENTIA,2012,32(2):552-558. |
APA | Tian Xueting,&Sun Wenxiang.(2012).DIFFEOMORPHISMS WITH VARIOUS C-1 STABLE PROPERTIES.ACTA MATHEMATICA SCIENTIA,32(2),552-558. |
MLA | Tian Xueting,et al."DIFFEOMORPHISMS WITH VARIOUS C-1 STABLE PROPERTIES".ACTA MATHEMATICA SCIENTIA 32.2(2012):552-558. |
入库方式: OAI收割
来源:数学与系统科学研究院
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