Reiterative Distributional Chaos in Non-autonomous Discrete Systems

被引：2

作者：

Yin, Zongbin ^{[1
]}

Xiang, Qiaomin ^{[2
]}

Wu, Xinxing ^{[3
]}

机构：

[1] Guangdong Polytech Normal Univ, Sch Math & Syst Sci, Guangzhou 510665, Peoples R China

[2] Foshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R China

[3] Southwest Petr Univ, Sch Sci, Chengdu 610500, Peoples R China

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2021年 / 20卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Reiterative distributional chaos; Distributional chaos; Invariant; Non-autonomous systems; LI-YORKE CHAOS; BACKWARD SHIFT; OPERATORS; INVARIANCE; VERSIONS;

D O I：

10.1007/s12346-021-00526-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, several types of reiterative distributional chaos are concerned in discrete dynamical systems. Some implications between distributional chaos and reiterative distributional chaos are obtained. It is further shown that an equicontinuous non-autonomous system (X, f(1), infinity), where f(1,infinity) = {f(i)}(i >= 1) is a sequence of self-maps of a metric space X, exhibits reiterative distributional chaos of type i (i is an element of [1, 1(+), 2, 21/2, 21/2-}) if and only if its kth iteration f(1,infinity)([k]) exhibits reiterative distributional chaos of type i for any k >= 2.

引用

页数：11

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