ω-LIMIT SETS CONTAINING AN INFINITE MINIMAL SET

DOI10.17654/DS031020063OpenAlexW2970024144MaRDI QIDQ5069497

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Publication date: 19 April 2022

Published in: Far East Journal of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/ds031020063

zbMATH Keywords

periodic points\(\omega\)-limit setminimal setnonwandering pointsrecurrent pointsnon-chaotic map

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving maps of the interval (37E05)

Cites Work

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• The structure of \(\omega\)-limit sets for continuous functions
• Chaos in terms of the map \(x\to\omega(x,f)\)
• A closing lemma on the interval
• Sets of Recurrent Points of Continuous Maps of the Interval
• Maps of the Interval with Every Point Chain Recurrent
• Chaotic Functions with Zero Topological Entropy
• The Spiral of Silence in the 1948 Presidential Election
• _ P   = _ R   for Maps of the Interval
• Characterizations of Turbulent One-Dimensional Mappings Via ω-Limit Sets
• The structure of $\omega$-limit sets for continuous maps of the interval
• Period Three Implies Chaos
• Continuous Maps of the Interval with Finite Nonwandering Set

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