Iteration Problem for Distributional Chaos

DOI10.1142/S0218127417501838zbMath1381.37026arXiv1606.08612MaRDI QIDQ3132824

Jana Hantáková

Publication date: 30 January 2018

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

Full work available at URL: https://arxiv.org/abs/1606.08612

zbMATH Keywords

iterationtopological entropyLi-Yorke chaosdistributional chaos

Mathematics Subject Classification ID

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

Mean Li-Yorke chaos and mean sensitivity in non-autonomous discrete systems ⋮ Some weak versions of distributional chaos in non-autonomous discrete systems ⋮ \(N\)-convergence and chaotic properties of non-autonomous discrete systems ⋮ Reiterative distributional chaos in non-autonomous discrete systems ⋮ On the iteration invariance of distributional chaos of type \(2\frac{1}{2}\) in non-autonomous discrete system

Cites Work

• On a problem of iteration invariants for distributional chaos
• A note on the three versions of distributional chaos
• The three versions of distributional chaos
• DC3 and Li-Yorke chaos
• Substitution systems and the three versions of distributional chaos
• A note on Schweizer-Smital chaos
• Positive topological entropy implies chaos DC2
• On the Weakest Version of Distributional Chaos
• Distributional chaos revisited
• Period Three Implies Chaos
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• Measure-theoretic chaos