Sensitivity and unpredictability in semiflows on topological spaces

DOI10.1016/j.cnsns.2024.107949OpenAlexW4392455821MaRDI QIDQ6131363

Ruchi Das, Arpit Mahajan, Rahul Thakur

Publication date: 5 April 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2024.107949

zbMATH Keywords

hyperspacesemiflowtopological sensitivityunpredictable pointproduct semiflow

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamics in general topological spaces (37B02)

Cites Work

• Syndetic sensitivity in semiflows
• Interval maps, factors of maps, and chaos
• What is topological about topological dynamics?
• Unpredictable points and stronger versions of Ruelle-Takens and Auslander-Yorke chaos
• Topologically sensitive dynamical systems
• Unpredictable points and chaos
• Strongly Ruelle-Takens, strongly Auslander-Yorke and Poincaré chaos on semiflows
• A note on sensitivity of semigroup actions
• On the nature of turbulence
• Period Three Implies Chaos
• Sensitivity and chaos on product and on hyperspatial semiflows
• Stronger forms of sensitivity for dynamical systems
• Attractors for parabolic problems in weighted spaces
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