Mean Li-Yorke Chaos and Mean Sensitivity in Non-autonomous Discrete Systems

被引：1
作者：
Yin, Zongbin [1 ]
He, Shengnan [2 ]
Chen, Zhijing [1 ]
机构：
[1] Guangdong Polytech Normal Univ, Sch Math & Syst Sci, Guangzhou 510665, Peoples R China
[2] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2023年 / 29卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Mean Li-Yorke chaos; Mean sensitivity; Non-autonomous discrete systems; DISTRIBUTIONAL CHAOS; STRONGER FORMS; DYNAMICS; OPERATORS; SEQUENCE;
D O I：
10.1007/s10883-022-09599-w
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, mean Li-Yorke chaos and mean sensitivity are investigated in non-autonomous discrete systems (X, f(1,infinity)), where f(1,infinity )= { f(i)}(i >= 1) is a sequence of self-maps on a metric space X. It is shown that mean Li-Yorke chaos is preserved under iteration for a non-autonomous discrete system with certain continuity. Moreover, sensitivity, Banach mean sensitivity and mean sensitivity of non-autonomous linear discrete systems are characterized, respectively. We provide sufficient conditions under which a mean sensitive non-autonomous discrete system is mean Li-Yorke chaotic.
引用
收藏
页码：245 / 262
页数：18
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