Supremum topological sequence entropy of circle maps

被引：3
|
作者：
Kuang, Rui [1 ]
Yang, Yini [2 ]
机构：
[1] South China Univ Technol, Dept Math, Guangzhou 510641, Guangdong, Peoples R China
[2] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China
来源：
TOPOLOGY AND ITS APPLICATIONS | 2021年 / 295卷
基金：
中国国家自然科学基金;
关键词：
Circle maps; Supremum topological sequence entropy; Topological sequence entropy pair; Non-separated pair; DYNAMICS;
D O I：
10.1016/j.topol.2021.107670
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper some formulas of supremum topological sequence entropy h(top)(infinity)(f) are investigated for circle maps. If f is a circle map then h(top)(infinity)(f) = h(top)(infinity)(f|(<(E(f))over bar>)), where <(E(f))over bar> is the closure of the set of eventually periodic points of f; If fis a circle map with zero topological entropy and Fix(f) not equal empty set then h(top)(infinity)(f|vertical bar(Omega(f))) = 0, where Omega(f) denotes the set of non-wandering points of f. (c) 2021 Elsevier B.V. All rights reserved.
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页数：9
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