A note on distributional chaos with respect to a sequence

DOI10.1016/j.na.2009.04.066zbMath1177.37039OpenAlexW1994398359MaRDI QIDQ732614

Piotr Oprocha

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.066

zbMATH Keywords

topological entropyweak mixingdistributional chaos

Mathematics Subject Classification ID

Topological dynamics (37B99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (4)

A New Version of Distributional Chaos, Distributional Chaos in a Sequence, and Other Concepts of Chaos ⋮ Unnamed Item ⋮ Sensitivity and Transitivity of Systems Satisfying the Large Deviations Theorem in a Sequence ⋮ Synchronization and anti-synchronization of chaotic oscillators under input saturation

Cites Work

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• Ergodic theory on compact spaces
• The three versions of distributional chaos
• Distributional chaos in a sequence
• On some notions of chaos in dimension zero
• Relations between distributional and Devaney chaos
• Applications of the Baire-category method to the problem of independent sets
• Period Three Implies Chaos
• HYPERSPACES
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• On scrambled sets and a theorem of Kuratowski on independent sets
• On Li-Yorke pairs
• Topological size of scrambled sets
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Independent sets in topological algebras
• Devaney's chaos or 2-scattering implies Li-Yorke's chaos

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