Chaos on compact metric spaces generated from symbolic dynamical systems

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Abstract

We discuss Devaney chaos on compact metric spaces using a decomposition space characterized by topological nature of symbolic dynamics. A chaotic map obtained here is defined as a topologically conjugate of the chaotic map on a decomposition space which is induced by a chaotic map of symbolic dynamics. In particular, the chaotic character of the tent map and the baker map on [0,1] are reconsidered based on decomposition dynamics involving symbolic dynamics with different two chaotic maps. As an example of compact metric space we exhibit a chaotic map existing on any given finite graph.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2017 Oct 17

ASJC Scopus subject areas

  • General

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