GRAPH MAPS WITH ZERO TOPOLOGICAL ENTROPY AND SEQUENCE ENTROPY PAIRS

被引：1

作者：

Li, Jian ^{[1
]}

Liang, Xianjuan ^{[1
]}

Oprocha, Piotr ^{[2
,3
]}

机构：

[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China

[2] AGH Univ Sci & Technol, Fac Appl Math, Al Mickiewicza 30, PL-30059 Krakow, Poland

[3] Univ Ostrava, IT4Innovat, Natl Supercomp Ctr, Inst Res & Applicat Fuzzy Modeling, 30 Dubna 22, Ostrava 70103, Czech Republic

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 11期

关键词：

Graph map; topological entropy; topological sequence entropy; tameness; Li-Yorke chaos; non-separable points; IN-pair; IT-pair; OMEGA-LIMIT SETS;

D O I：

10.1090/proc/15578

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that graph map with zero topological entropy is Li-Yorke chaotic if and only if it has an NS-pair (a pair of non-separable points containing in a same solenoidal omega-limit set), and a non-diagonal pair is an NS-pair if and only if it is an IN-pair if and only if it is an IT-pair. This completes characterization of zero topological sequence entropy for graph maps.

引用

页码：4757 / 4770

页数：14