中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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
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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