Relations between distributional, Li–Yorke and ω chaos

Juan Luis García Guirao and Marek Lampart

Chaos, Solitons & Fractals, 2006, vol. 28, issue 3, 788-792

Abstract: The forcing relations between notions of distributional, Li–Yorke and ω chaos were studied by many authors. In this paper we summarize all known connections between these three different types of chaos and fulfill the results for general compact metric spaces by the construction of a selfmap on a compact perfect set which is ω chaotic, not distributionally chaotic and has zero topological entropy.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:28:y:2006:i:3:p:788-792

DOI: 10.1016/j.chaos.2005.08.005

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