Answering two open problems on Banks theorem for non-autonomous dynamical systems

DOI10.1080/10236198.2019.1696324zbMath1435.37037arXiv1910.00934OpenAlexW2991201158WikidataQ126779043 ScholiaQ126779043MaRDI QIDQ5207731

Xinxing Wu, Guan-Rong Chen

Publication date: 13 January 2020

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

Full work available at URL: https://arxiv.org/abs/1910.00934

zbMATH Keywords

topological transitivityThue-Morse sequencenonautonomous dynamical systemBanks theorem

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Topological dynamics of nonautonomous systems (37B55)

Related Items (9)

Remarks on sensitivity and chaos in nonautonomous dynamical systems ⋮ Unnamed Item ⋮ The Mean Sensitivity and Mean Equicontinuity in Uniform Spaces ⋮ Mean Li-Yorke chaos and mean sensitivity in non-autonomous discrete systems ⋮ Sensitivity and Chaoticity on Nonautonomous Dynamical Systems ⋮ Reiterative distributional chaos in non-autonomous discrete systems ⋮ Furstenberg family and multi-sensitivity in non-autonomous systems ⋮ A note on the sensitivity of semiflows ⋮ Sensitivity of Nonautonomous Dynamical Systems on Uniform Spaces

Cites Work

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• Mixing properties for nonautonomous linear dynamics and invariant sets
• Relationship among several types of sensitivity in general semi-flows
• On dynamics generated by a uniformly convergent sequence of maps
• Chaos in a class of non-autonomous discrete systems
• A note on the sensitivity of semiflows
• On Devaney's Definition of Chaos
• Topological Ergodic Shadowing and Chaos on Uniform Spaces
• A remark on banks theorem

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