Epsilon-equicontinuous points and epsilon-shadowable points

DOI10.1007/S12591-018-0418-6zbMath1498.37020OpenAlexW2799936212WikidataQ129970727 ScholiaQ129970727MaRDI QIDQ2116175

Ali Barzanouni

Publication date: 16 March 2022

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-018-0418-6

zbMATH Keywords

hyperspacetopologically transitiveinverse limit space\(\epsilon\)-equicontinuous point

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continuous maps (54C05) Special maps on metric spaces (54E40) 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) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Cites Work

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• Interval maps, factors of maps, and chaos
• On chain continuity
• \(\mathcal{F}\)-mixing property and \((\mathcal{F}_1,\mathcal{F}_2)\)-everywhere chaos of inverse limit dynamical systems
• Shadowable points
• AUSLANDER–YORKE CHAOS FOR GROUP ACTIONS ON DENDRITES
• Topological entropy and irregular recurrence
• On sensitive sets in topological dynamics
• The structure of equicontinuous maps
• Li–Yorke sensitivity
• Quantitative shadowable points
• Analogues of Auslander–Yorke theorems for multi-sensitivity

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