Distributional chaos and irregular recurrence

DOI10.1016/j.na.2009.10.017zbMath1180.37019OpenAlexW2022927847MaRDI QIDQ844950

Lenka Obadalová, Jaroslav Smítal

Publication date: 5 February 2010

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.2009.10.017

zbMATH Keywords

recurrencetopological entropydistributional chaosskew-product maps

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 (4)

Complexity and proper quasi-weakly almost periodic points ⋮ Irregular recurrence in compact metric spaces ⋮ On chaotic minimal center of attraction of a Lagrange stable motion for topological semi flows ⋮ The life and mathematics of Jaroslav Smítal

Cites Work

• Distributional chaos for triangular maps
• Strange distributionally chaotic triangular maps. III
• A note on Schweizer-Smital chaos
• On dynamics of triangular maps of the square
• A Semigroup Associated With a Transformation Group
• On the Proximal Relation in Topological Dynamics
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• Twelve open problems on the exact value of the Hausdorff measure and on topological entropy: a brief survey of recent results
• Li–Yorke sensitive minimal maps

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