Chaotic behaviour of countable products of homeomorphism groups

DOI10.1080/10236198.2022.2090838arXiv2206.10992MaRDI QIDQ6065936

Alexander G. Korotkov, N. I. Zhukova

Publication date: 11 December 2023

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.10992

zbMATH Keywords

topological transitivitysensitive dependence on initial conditionsTychonoff productproduct of groupschaotic group of homeomorphisms

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Baire category, Baire spaces (54E52) Group actions on manifolds and cell complexes in low dimensions (57M60) Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamics in general topological spaces (37B02)

Related Items (2)

Foreword to the special issue of Journal of Difference Equations and Applications on ‘Lozi, Hénon, and other chaotic attractors, theory and applications’ ⋮ Chaotic suspended foliations of topological manifolds

Cites Work

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• Chaotic group actions on manifolds
• Determination of generalized horseshoe maps inducing all link types
• Classification of compact Lorentzian 2-orbifolds with noncompact full isometry groups
• Anosov actions of isometry groups on Lorentzian 2-orbifolds
• On properties of expansive group actions
• Minimal sets of Cartan foliations
• Topological transitivity and mixing notions for group actions
• Sensitive dependence on initial conditions and chaotic group actions
• On Devaney's Definition of Chaos
• Chaotic actions of free groups
• Chaos in Cartan foliations
• The Geometries of 3-Manifolds
• Encyclopedia of Distances
• Chaotic group actions

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