南方科技大学知识苑(SUSTech KC): Entropy theory for sectional hyperbolic flows

题名	Entropy theory for sectional hyperbolic flows
作者	José Pacifico，Maria 1; Yang，Fan 2; Yang，Jiagang 3,4
通讯作者	José Pacifico，Maria
发表日期	2020
DOI	10.1016/j.anihpc.2020.10.001
发表期刊	ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 影响因子和分区
ISSN	0294-1449
卷号	38页码:1001-1030
摘要	We use entropy theory as a new tool to study sectional hyperbolic flows in any dimension. We show that for C flows, every sectional hyperbolic set Λ is entropy expansive, and the topological entropy varies continuously with the flow. Furthermore, if Λ is Lyapunov stable, then it has positive entropy; in addition, if Λ is a chain recurrent class, then it contains a periodic orbit. As a corollary, we prove that for C generic flows, every Lorenz-like class is an attractor.
关键词	Entropy Entropy expansive Lorenz like attractors Sectional hyperbolic flows
相关链接	[Scopus记录]
收录类别	EI
语种	英语
学校署名	其他
EI入藏号	20204309382757
EI主题词	Topology
EI分类号	Thermodynamics:641.1 ; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4
ESI学科分类	MATHEMATICS
Scopus记录号	2-s2.0-85092761578
来源库	Scopus
引用统计	被引频次[WOS]：11
成果类型	期刊论文
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/209313
专题	理学院_数学系
作者单位	1.Instituto de Matemática,Universidade Federal do Rio de Janeiro,CEP,Rio de Janeiro,C. P. 68.530,21.945-970,Brazil 2.Department of Mathematics,University of Oklahoma,Norman,United States 3.Department of Mathematics,Southern University of Science and Technology of China,Guangdong,China 4.Departamento de Geometria,Instituto de Matemática e Estatística,Universidade Federal Fluminense,Niterói,Brazil
推荐引用方式 GB/T 7714	José Pacifico，Maria,Yang，Fan,Yang，Jiagang. Entropy theory for sectional hyperbolic flows[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,2020,38:1001-1030.
APA	José Pacifico，Maria,Yang，Fan,&Yang，Jiagang.(2020).Entropy theory for sectional hyperbolic flows.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,38,1001-1030.
MLA	José Pacifico，Maria,et al."Entropy theory for sectional hyperbolic flows".ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 38(2020):1001-1030.