DIFFEOMORPHISMS WITH VARIOUS C~1 STABLE PROPERTIES

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	DIFFEOMORPHISMS WITH VARIOUS C~1 STABLE PROPERTIES
	Tian Xueting 1; Sun Wenxiang 2
	2012
发表期刊	Acta Mathematica Scientia
ISSN	0252-9602
卷号	32 期号:2 页码:552
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.
语种	英语
资助项目	[CAPES(Brazil)] ; [National Natural Science Foundation] ; [National Basic Research Program of China (973 Program)]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/46490
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.LMAM,School of Mathematical Sciences,Peking University
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.
APA	Tian Xueting,&Sun Wenxiang.(2012).DIFFEOMORPHISMS WITH VARIOUS C~1 STABLE PROPERTIES.Acta Mathematica Scientia,32(2),552.
MLA	Tian Xueting,et al."DIFFEOMORPHISMS WITH VARIOUS C~1 STABLE PROPERTIES".Acta Mathematica Scientia 32.2(2012):552.