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WEAKLY MIXING IMPLIES DISTRIBUTIONAL CHAOS IN A SEQUENCE

LIDONG WANG

School of Science, Dalian Nationalities University, Dalian 116600, Liaoning, China

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YU'E YANG

Mathematical Department, Liaoning Normal University, Dalian 116029, Liaoning, China

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ZHENYAN CHU

School of Science, Dalian Nationalities University, Dalian 116600, Liaoning, China

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, and

GONGFU LIAO

2699 Qian Jin Street, Jilin University, Changchun, China

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https://doi.org/10.1142/S0217984910023372Cited by:4 (Source: Crossref)

Abstract

Let X be a separable metric space containing at least two points, and f:X→X be continuous. In this paper, we consider dynamical systems on X, and prove that topologically weakly mixing implies distributional chaos in a sequence.

Keywords:

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