Relations between mixing and distributional chaos

Gongfu Liao, Zhenyan Chu and Qinjie Fan

Chaos, Solitons & Fractals, 2009, vol. 41, issue 4, 1994-2000

Abstract: Oprocha gave an example which is weakly mixing but not distributively chaotic. In this paper, we give an example which is mixing but not distributively chaotic. We also prove that if f:X→X is weakly mixing, where X is a locally compact metric space containing at least two points, then it must be distributively chaotic in a sequence.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:4:p:1994-2000

DOI: 10.1016/j.chaos.2008.08.003

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