When lower entropy implies stronger Devaney chaos

DOI10.1090/S0002-9939-08-09756-6zbMath1177.37024OpenAlexW1970065881MaRDI QIDQ3629430

Grzegorz Harańczyk, Dominik Kwietniak

Publication date: 27 May 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09756-6

zbMATH Keywords

topological entropyinterval mapcircle mapmixing mappure mixing map

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05)

Related Items (5)

Topological entropy of compact subsystems of transitive real line maps ⋮ Topological structure and entropy of mixing graph maps ⋮ On recurrence and entropy in the hyperspace of continua in dimension one ⋮ Topological entropy for local processes ⋮ Topological mixing, knot points and bounds of topological entropy

Cites Work

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• Exact Devaney chaos and entropy
• Dense orbits on the interval
• Entropy of transitive tree maps
• Dense Periodicity on the Interval
• Transitivity and the centre for maps of the circle
• On Devaney's Definition of Chaos
• Entropy and periodic points for transitive maps
• Chaos, Periodicity, and Snakelike Continua
• Dense chaos for continuous interval maps
• Topological transitivity and ergodic measures

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