DISTRIBUTIONAL CHAOS AND DISTRIBUTIONAL CHAOS IN A SEQUENCE OCCURRING ON A SUBSET OF THE ONE-SIDED SYMBOLIC SYSTEM

被引：0

作者：

Tang, Yanjie ^{[1
]}

Yin, Jiandong ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2020年 / 57卷 / 01期

关键词：

Distributional chaos; irregularly recurrent point; one-sided symbolic system; distributional chaos in a sequence; DYNAMICAL-SYSTEMS; RECURRENCE;

D O I：

10.4134/BKMS.b190083

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to show that for the one-sided symbolic system, there exist an uncountable distributively chaotic set contained in the set of irregularly recurrent points and an uncountable distributively chaotic set in a sequence contained in the set of proper positive upper Banach density recurrent points.

引用

页码：95 / 108

页数：14

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