Topological sequence entropy and topological dynamics of tree maps

被引：0

作者：

Canovas, Jose S. ^{[1
]}

Daghar, Aymen ^{[2
,3
]}

机构：

[1] Tech Univ Cartagena, Dept Appl Math & Stat, C Doctor Flemming Sn 30-202, Cartagena, Spain

[2] Univ Carthage, Higher Inst Management Bizerte, Dynam Syst & Their Applicat, UR17ES21, Bizerte 7021, Tunisia

[3] Univ Carthage, Fac Sci Bizerte, Dynam Syst & Their Applicat, UR17ES21, Bizerte 7021, Tunisia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 525卷 / 01期

关键词：

Tree maps; Topological sequence entropy; Chain recurrent set; Non-wandering set; SET;

D O I：

10.1016/j.jmaa.2023.127133

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a zero topological entropy continuous tree map always displays zero topological sequence entropy when it is restricted to its non-wandering and chain recurrent sets. In addition, we show that a similar result is not possible when the phase space is a dendrite even when we consider only the restriction on the set of periodic points.(c) 2023 Elsevier Inc. All rights reserved.

引用

页数：10

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