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.
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页码：95 / 108
页数：14
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