标题:Chaos in non-autonomous discrete systems and their induced set-valued systems
作者:Shao, Hua; Zhu, Hao
作者机构:[Shao, Hua] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China.; [Zhu, Hao] Nankai Univ, Chem Inst Math, Tianjin 300071, Peoples R Ch 更多
通讯作者:Shao, H
通讯作者地址:[Shao, H]Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China.
来源:CHAOS
出版年:2019
卷:29
期:3
DOI:10.1063/1.5054867
摘要:In this paper, the interactions of some given chaotic properties between a non-autonomous discrete system (X, f(0,infinity)) and its induced set-valued system (K(X),(f) over bar (0,infinity)) are obtained. It is proved that the specification property, property P, topological mixing, mild mixing, and topological exactness of (X, f(0,infinity)) are equivalent to those of (K(X),(f) over bar (0),(infinity)), respectively. It is shown that Robinson chaos (resp. Kato chaos) between (X, f(0,infinity)) and (X, (f) over bar (0),(infinity)) are equivalent under certain conditions. Furthermore, Li-Yorke chaos and distributional chaos of (X, f(0,infinity)) imply those of (K(X),(f) over bar (0),(infinity)), respectively. Topological equi-conjugacy between two systems is proved to be preserved by their induced set-valued systems. Topological entropy of (X, f(0,infinity)) is guaranteed to be no larger than that of (K(X),(f) over bar (0),(infinity)). Two examples are finally provided with computer simulations for illustration. Published under license by AIP Publishing.
收录类别:SCOPUS;SCIE
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85062870129&doi=10.1063%2f1.5054867&partnerID=40&md5=2cf4f286492355fbcee56fd26c0992db
TOP