DIFFEOMORPHISMS WITH VARIOUS C-1 STABLE PROPERTIES

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	DIFFEOMORPHISMS WITH VARIOUS C-1 STABLE PROPERTIES
其他题名	Diffeomorphisms with various C1 stable properties
	Tian Xueting 1; Sun Wenxiang 3
	2012
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	32 期号:2 页码:552-558
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.
其他摘要	Let M be a smooth compact manifold and Λ be a compact invariant set.In this article,we prove that,for every robustly transitive set Λ,f \| Λ satisfies a C~1-genericstable shadowable property(resp.,C~1-generic-stable transitive specification property or C~1-generic-stable barycenter property) if and only if Λ is a hyperbolic basic set.In particular,f \| Λ satisfies a C~1-stable shadowable property(resp.,C~1-stable transitive specification property or C~1-stable barycenter property) if and only if Λ is a hyperbolic basic set.Similar results are valid for volume-preserving case.
关键词	Specification property hyperbolic basic set topologically transitive shadowing property
收录类别	CSCD
语种	英语
资助项目	[CAPES(Brazil)] ; [National Natural Science Foundation] ; [National Basic Research Program of China (973 Program)]
CSCD记录号	CSCD:4527408
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52831
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.