Various recurrence and topologically sensitive for semiflows

DOI10.1007/s10883-023-09671-zOpenAlexW4391142158WikidataQ129390570 ScholiaQ129390570MaRDI QIDQ6146545

Ali Barzanouni

Publication date: 31 January 2024

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-023-09671-z

zbMATH Keywords

topological semigroupsyndetic setdensity in semigroupsuniformly recurrence

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Structure of topological semigroups (22A15) 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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• Devaney chaos, Li-Yorke chaos, and multi-dimensional Li-Yorke chaos for topological dynamics
• Lifting of almost periodicity of a point through morphisms of flows
• Recurrence and the minimal center of attraction with respect to a Følner sequence
• Minimality, distality and equicontinuity for semigroup actions on compact Hausdorff spaces
• On the interplay between additive and multiplicative largeness and its combinatorial applications
• Almost periodic points with respect to transformation semi-groups

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