Topological entropy of compact subsystems of transitive real line maps

DOI10.1080/14689367.2012.751524zbMath1269.37012arXiv1208.3975OpenAlexW2064952073MaRDI QIDQ5298830

Dominik Kwietniak, Martha Ubik

Publication date: 24 June 2013

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.3975

zbMATH Keywords

topological entropytopological mixinghorseshoesspecification propertytransitive maps

Mathematics Subject Classification ID

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

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Topological Entropy and Mixing Invariant Extremal Distributional Chaos

Cites Work

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• Entropy and exact Devaney chaos on totally regular continua
• Topological entropy of maps on the real line
• Exact Devaney chaos and entropy
• Dense orbits on the interval
• Dynamics in one dimension
• Topological entropy of Devaney chaotic maps
• Metrics and entropy for non-compact spaces. Appendix by Daniel J. Rudolph
• Entropy of transitive tree maps
• Topological structure and entropy of mixing graph maps
• Extensions of dynamical systems without increasing the entropy
• When lower entropy implies stronger Devaney chaos
• Topological entropy of continuous transitive maps on the real line
• Lower bounds of the topological entropy for continuous maps of the circle of degree one
• Entropy and periodic points for transitive maps
• Specification on the interval
• Regular periodic decompositions for topologically transitive maps
• Topological entropy of transitive maps of a tree
• Topological transitivity and ergodic measures
• Entropy estimates for transitive maps on trees