Li and Yorke chaos with respect to the cardinality of the scrambled sets

Juan Luis García Guirao and Marek Lampart

Chaos, Solitons & Fractals, 2005, vol. 24, issue 5, 1203-1206

Abstract: In the present paper we study Li and Yorke chaos on several spaces in connection with the cardinality of its scrambled sets. We prove that there is a map on a Cantor set and a map on a two-dimensional arcwise connected continuum (with empty interior) such that each scrambled set contains exactly two points.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:24:y:2005:i:5:p:1203-1206

DOI: 10.1016/j.chaos.2004.09.103

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