The construction of chaotic maps in the sense of Devaney on dendrites which commute to continuous maps on the unit interval

DOI10.3934/dcds.2004.11.547zbMath1064.54051OpenAlexW2090123419MaRDI QIDQ1884232

Naotsugu Chinen, Tatsuya Arai

Publication date: 27 October 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.11.547

zbMATH Keywords

topological entropychaotic mappointwise \(P\)-expansivity

Mathematics Subject Classification ID

Topological spaces of dimension (leq 1); curves, dendrites (54F50) Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05)

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Almost totally disconnected minimal systems, The structure of dendrites constructed by pointwise \(P\)-expansive maps on the unit interval