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.
引用
收藏
页数：9
相关论文
共 24 条
[1]  
Alseda Lluis., 1993, Combinatorial Dynamics an Entropy in Dimension One, Advances Series in Nonlinear Dynamics, Volume, V5
[2]   Commutativity and non-commutativity of topological sequence entropy [J].
Balibrea, F ;
Peña, JSC ;
López, VJ .
ANNALES DE L INSTITUT FOURIER, 1999, 49 (05) :1693-+
[3]  
Blanchard F, 2002, J REINE ANGEW MATH, V547, P51
[4]  
BLOCK LS, 1992, LECT NOTES MATH, V1513, pUR3
[5]  
Canovas J.S, 2000, APPL GEN TOPOL, V2, P1
[6]  
Canovas J.S, 2002, AEQUATIONES MATH, V64, P53
[7]  
Canovas JS, 2007, DYNAM CONT DIS SER A, V14, P47
[8]   Topological sequence entropy of interval maps [J].
Cánovas, JS .
NONLINEARITY, 2004, 17 (01) :49-56
[9]  
COVEN EM, 1986, ERGOD THEOR DYN SYST, V6, P1
[10]  
Denker M, 1976, LECT NOTES MATH, V527
123