Relations between distributional and Devaney chaos

DOI10.1063/1.2225513zbMath1146.37301OpenAlexW1971750777WikidataQ51932338 ScholiaQ51932338MaRDI QIDQ3531635

Piotr Oprocha

Publication date: 3 November 2008

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2225513

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Symbolic dynamics (37B10)

Related Items (19)

COMPACT SYSTEMS WITH DC3 PAIRS ⋮ Relations between mixing and distributional chaos ⋮ On chaos for iterated function systems ⋮ Chaotic sets and Euler equation branching ⋮ Li-Yorke chaos and topological distributional chaos in a sequence ⋮ Cowen-Douglas function and its application on chaos ⋮ On distributional chaos in non-autonomous discrete systems ⋮ Li-Yorke chaos in models with backward dynamics ⋮ Devaney chaos plus shadowing implies distributional chaos ⋮ Mean Proximality, Mean Sensitivity and Mean Li–Yorke Chaos for Amenable Group Actions ⋮ Mean proximality and mean Li-Yorke chaos ⋮ A class of primitive substitutions and scrambled sets ⋮ \(A\)-coupled-expanding and distributional chaos ⋮ A note on the three versions of distributional chaos ⋮ A note on distributional chaos with respect to a sequence ⋮ Invariant scrambled sets and distributional chaos ⋮ Distributional chaos revisited ⋮ Recent development of chaos theory in topological dynamics ⋮ Two results on entropy, chaos and independence in symbolic dynamics

Cites Work

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• Ergodic theory on compact spaces
• A quantum harmonic oscillator and strong chaos
• An Introduction to Symbolic Dynamics and Coding

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