南方科技大学知识苑(SUSTech KC): Bi-Lyapunov Stable Homoclinic Classes for C-1 Generic Flows

题名	Bi-Lyapunov Stable Homoclinic Classes for C-1 Generic Flows
作者	Zheng, Ru Song
通讯作者	Zheng, Ru Song
发表日期	2021-07-01
DOI	10.1007/s10114-021-0420-8
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES 影响因子和分区
ISSN	1439-8516
EISSN	1439-7617
卷号	37 期号:7
摘要	We study bi-Lyapunov stable homoclinic classes for a C-1 generic flow on a closed Riemannian manifold and prove that such a homoclinic class contains no singularity. This enables a parallel study of bi-Lyapunov stable dynamics for flows and for diffeomorphisms. For example, we can then show that a bi-Lyapunov stable homoclinic class for a C-1 generic flow is hyperbolic if and only if all periodic orbits in the class have the same stable index.
关键词	Bi-Lyapunov stable homoclinic class singularity dominated splitting linear cocycle
相关链接	[来源记录]
收录类别	SCI
语种	英语
学校署名	第一 ; 通讯
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000678042000002
出版者	SPRINGER HEIDELBERG
ESI学科分类	MATHEMATICS
来源库	Web of Science
引用统计	被引频次[WOS]：0
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/240282
专题	创新创业学院
作者单位	Southern Univ Sci & Technol, Sch Innovat & Entrepreneurship, Shenzhen 518055, Peoples R China
第一作者单位	创新创业学院
通讯作者单位	创新创业学院
第一作者的第一单位	创新创业学院
推荐引用方式 GB/T 7714	Zheng, Ru Song. Bi-Lyapunov Stable Homoclinic Classes for C-1 Generic Flows[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2021,37(7).
APA	Zheng, Ru Song.(2021).Bi-Lyapunov Stable Homoclinic Classes for C-1 Generic Flows.ACTA MATHEMATICA SINICA-ENGLISH SERIES,37(7).
MLA	Zheng, Ru Song."Bi-Lyapunov Stable Homoclinic Classes for C-1 Generic Flows".ACTA MATHEMATICA SINICA-ENGLISH SERIES 37.7(2021).