On the Weakest Version of Distributional Chaos

DOI10.1142/S0218127416502357zbMath1357.37012arXiv1412.6928MaRDI QIDQ2969078

Jana Doleželová-Hantáková, Zuzana Roth, Samuel Roth

Publication date: 14 March 2017

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.6928

zbMATH Keywords

Li-Yorke chaosdistributional chaosdistal chaotic system

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)

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A non-Borel special alpha-limit set in the square ⋮ Distributional chaos for operators on Banach spaces ⋮ The life and mathematics of Jaroslav Smítal ⋮ \(N\)-convergence and chaotic properties of non-autonomous discrete systems ⋮ Distributional Chaos and Dendrites ⋮ On the iteration invariance of distributional chaos of type \(2\frac{1}{2}\) in non-autonomous discrete system ⋮ Li–Yorke Chaos in Globally Coupled Map Lattice with Delays ⋮ Iteration Problem for Distributional Chaos

Cites Work

• The three versions of distributional chaos
• DC3 and Li-Yorke chaos
• Substitution systems and the three versions of distributional chaos
• Distributional chaos revisited
• Period Three Implies Chaos
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• Unnamed Item

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