Distributional chaos and distributional chaos in a sequence occurring on a subset of the one-sided symbolic system
Bull. Korean Math. Soc.
Published online June 10, 2019
Yanjie Tang and Jiandong Yin
Department of Mathematics, 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
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