Article ID Journal Published Year Pages File Type
10735307 Chaos, Solitons & Fractals 2005 4 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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Li and Yorke chaos with respect to the cardinality of the scrambled sets
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