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
收藏
页码：4757 / 4770
页数：14
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