Strongly Ruelle-Takens, strongly Auslander-Yorke and Poincaré chaos on semiflows

DOI10.1016/J.CNSNS.2019.105018zbMath1453.37014OpenAlexW2974763142MaRDI QIDQ2206500

Ruchi Das, Rahul Thakur

Publication date: 22 October 2020

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.2019.105018

zbMATH Keywords

Poincaré chaosproduct semiflowstrongly Auslander-Yorke chaosstrongly Ruelle-Takens chaos

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) 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)

Related Items (6)

Unpredictability in quasilinear non-autonomous systems with regular moments of impulses ⋮ Quasilinear systems with unpredictable relay perturbations ⋮ Sensitivity and unpredictability in semiflows on topological spaces ⋮ Multi-sensitivity with respect to a vector for semiflows ⋮ Shunting inhibitory cellular neural networks with strongly unpredictable oscillations ⋮ Sensitivity and chaos on product and on hyperspatial semiflows

Cites Work

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• Interval maps, factors of maps, and chaos
• Unpredictable points and stronger versions of Ruelle-Takens and Auslander-Yorke chaos
• Unpredictable points and chaos
• Devaney chaos and stronger forms of sensitivity on the product of semiflows
• A note on sensitivity of semigroup actions
• Note concerning our paper On the nature of turbulence. Commun. math. Phys. 20, 167-192 (1971)
• Devaney chaos and Li-Yorke sensitivity for product systems
• Chaos in a topologically transitive semi-flow
• Chaos-related properties on the product of semiflows
• Stronger forms of sensitivity on product dynamical system via Furstenberg families
• Attractors for parabolic problems in weighted spaces
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