Relations between distributional, Li--Yorke and \(\omega\) chaos

DOI10.1016/j.chaos.2005.08.005zbMath1106.37005OpenAlexW2016796712MaRDI QIDQ2497591

Marek Lampart, Juan Luis García Guirao

Publication date: 4 August 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.08.005

zbMATH Keywords

topological entropydifferent types of chaosgeneral compact metric spaces

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items

Constant-length substitution systems and countable distributionally scrambled sets, Substitution systems and the three versions of distributional chaos, Omega-limit sets and invariant chaos in dimension one, Distributional chaos in constant-length substitution systems, Lebesgue Measure of Recurrent Scrambled Sets, Distributionally scrambled set and minimal set, Minimal sets and \(\omega\)-chaos in expansive systems with weak specification property, CHAOS ON ONE-DIMENSIONAL COMPACT METRIC SPACES, Distributional chaos caused by snap-back repeller in metric space, Invariant scrambled sets and distributional chaos, Shift spaces, \(\omega \)-chaos and specification property, Distributional chaoticity of \(C_0\)-semigroup on a Fréchet space, A study of chaos in dynamical systems, DC3 and Li-Yorke chaos

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