New definitions of Devaney's chaos

DOI10.1016/J.TOPOL.2022.108321OpenAlexW4307723476MaRDI QIDQ2105011

Alica Miller

Publication date: 8 December 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2022.108321

zbMATH Keywords

sensitivitytopological transitivityperiodic pointDevaney's chaostopological sensitivityAuslander-Yorke dichotomyeventual sensitivity

Mathematics Subject Classification ID

Special maps on metric spaces (54E40) Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

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• Syndetic sensitivity in semiflows
• What is topological about topological dynamics?
• Topologically sensitive dynamical systems
• Equicontinuity, transitivity and sensitivity: the Auslander-Yorke dichotomy revisited
• A note on sensitivity of semigroup actions
• On Devaney's Definition of Chaos

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