检索结果-南通市图书馆

The Multi-sensitivity and topological sequence entropy of Dynamical System with Group Action

Acta Mathematica Sinica,English Series 2023年第4期39卷 663-684页

作者： Xiao Jun HUANG Bin ZHU College of Mathematics and Statistics Chongqing UniversityChongqing 401331P.R.China Chongqing Key Laboratory of Analytic Mathematics and Applications Chongqing UniversityChongqing 401331P R.China

In this paper,we study the relationship between the multi-sensitivity and the topological maximal sequence entropy of dynamical systems for general group ***,we also discuss the consistency of multi-sensitivity of a dynamical system(G■X)and its hyperspace dynamical system G■K(X).Moreover,we research the relationship between the multi-sensitivity of two dynamical systems and the multi-sensitivity of their product space dynamical ***,we prove that if the topological sequence entropy of G■X vanishes,then so does that of its induced system G■M(X);if the topological sequence entropy of G■X is positive,then that of its induced system G■M(X)is infinity.

关键词： Group action multi-sensitivity topological sequence entropy hyperspace induced system

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Topology and topological sequence entropy

引用

Science China Mathematics 2020年第2期63卷 205-296页

作者： L'ubomír Snoha Xiangdong Ye Ruifeng Zhang Department of Mathematics Faculty of Natural SciencesMatej Bel UniversityBanska Bystrica 97401Slovakia School of Mathematical Sciences University of Science and Technology of ChinaHefei 230026China School of Mathematics Hefei University of TechnologyHefei 230009China

Let X be a compact metric space and T:X-→X be *** h*(T)be the supremum of topological sequence entropies of T over all the subsequences of Z+and S(X)be the set of the values h*(T)for all the continuous maps T on *** is known thattopological■S(X)■{0,log 2,log 3,...}∪{∞}.Only three possibilities for S(X)have been observed so far,namely S(X)=topological,S(X)={0,log 2,∞}and S(X)={0,log 2,log 3,...}∪{∞}.In this paper we completely solve the problem of finding all possibilities for S(X)by showing that in fact for every settopological?A?{0,log 2,log 3,...}∪{∞}there exists a one-dimensional continuum XAwith S(XA)=*** the construction of XAwe use Cook *** is apparently the first application of these very rigid continua in *** further show that the same result is true if one considers only homeomorphisms rather than continuous *** problem for group actions is also *** some class of group actions(by homeomorphisms)we provide an analogous result,but in full generality this problem remains open.

关键词： topological sequence entropy rigid continuum Cook continuum

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Chaos and null systems

引用

Science China Mathematics 2013年第3期56卷 607-618页

作者： WANG HuoYun LIU Xin FU HeMan School of Mathematics and Information Science Guangzhou University Key Laboratory of Mathematics and Interdisciplinary Science Guangdong Higher Education Institutes Guangzhou University College of Mathematics and Information Sciences Zhaoqing University

A dynamical system is called a null system, if the topological sequence entropy along any strictly increasing sequence of non-negative integers is 0. Let 0≦p≦q≦1. A dynamical system is Dqp chaotic, if there is an uncountable subset in which any two different points have trajectory approaching time set with lower density p and upper density q. In this paper, we show that there is a null system which is also D3/41/4 chaotic.

关键词： null system Dpq chaos topological sequence entropy

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：