Li-Yorke chaos and topological distributional chaos in a sequence

DOI10.55730/1300-0098.3165zbMath1504.37014OpenAlexW4285241660MaRDI QIDQ5102189

Naveenkumar Yadav, Sejal Shah

Publication date: 6 September 2022

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.55730/1300-0098.3165

zbMATH Keywords

uniform spaceweakly mixingLi-Yorke chaosDevaney chaosdistributional chaos in a sequence

Mathematics Subject Classification ID

Continuous maps (54C05) Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (1)

Weaker forms of specification for maps on uniform spaces

Cites Work

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• Devaney's and Li-Yorke's chaos in uniform spaces
• Various types of shadowing and specification on uniform spaces
• Topological chain and shadowing properties of dynamical systems on uniform spaces
• Distributional chaos on uniform spaces
• Distributional chaos in a sequence
• Relations between distributional and Devaney chaos
• Period Three Implies Chaos
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• Topological Ergodic Shadowing and Chaos on Uniform Spaces
• WEAKLY MIXING IMPLIES DISTRIBUTIONAL CHAOS IN A SEQUENCE
• Onn-scrambled tuples and distributional chaos in a sequence
• Devaney's chaos or 2-scattering implies Li-Yorke's chaos

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