Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2020; 57(1): 95-108

Online first article August 6, 2019      Printed January 31, 2020

https://doi.org/10.4134/BKMS.b190083

Copyright © The Korean Mathematical Society.

Distributional chaos and distributional chaos in a sequence occurring on a subset of the one-sided symbolic system

Yanjie Tang, Jiandong Yin

Nanchang University; Nanchang University

Abstract

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.

Keywords: Distributional chaos, irregularly recurrent point, one-sided symbolic system, distributional chaos in a sequence

MSC numbers: 37D45, 54H20

Supported by: The work was supported by NSFC (No. 11661054, 11261039).

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