A note on decay of correlation implies chaos in the sense of Devaney

DOI10.1016/J.APM.2015.02.019zbMath1443.37031OpenAlexW1990001310MaRDI QIDQ2285382

Risong Li

Publication date: 8 January 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2015.02.019

zbMATH Keywords

Devaney's chaostopologically transitivesensitiveexpanding semi-flowsmixing semi-flows

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (4)

Chaos in a topologically transitive semi-flow ⋮ A quantitative approach to syndetic transitivity and topological ergodicity ⋮ Multi-sensitivity, syndetical sensitivity and the asymptotic average- shadowing property for continuous semi-flows ⋮ Furstenberg family and multi-transitivity in non-autonomous systems

Cites Work

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• Expansive one-parameter flows
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• On Devaney's Definition of Chaos
• Period Three Implies Chaos
• Ergodic Transformations from an Interval Into Itself
• On Intervals, Transitivity = Choas
• Attractors for parabolic problems in weighted spaces

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