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.
Yanjie Tang, Jiandong Yin
Nanchang University; Nanchang University
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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