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http://dx.doi.org/10.4134/BKMS.b190083

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

Tang, Yanjie (Department of Mathematics Nanchang University)
Yin, Jiandong (Department of Mathematics Nanchang University)
Publication Information
Bulletin of the Korean Mathematical Society / v.57, no.1, 2020 , pp. 95-108 More about this Journal
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;
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