On open problems concerning distributional chaos for triangular maps

DOI10.1016/J.NA.2011.07.052zbMath1223.37015OpenAlexW2062312794MaRDI QIDQ642598

Jaroslav Smítal, Francisco Balibrea

Publication date: 27 October 2011

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.2011.07.052

zbMATH Keywords

topological entropyminimal setdistributional chaostriangular mapsrecurrent points

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (3)

The life and mathematics of Jaroslav Smítal ⋮ Strange chaotic triangular maps ⋮ Embedding Toeplitz systems in triangular maps: the last but one problem of the Sharkovsky classification program

Cites Work

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• A triangular map of type \(2^{\infty}\) with positive topological entropy on a minimal set
• Sharkovsky's program for the classification of triangular maps is almost completed
• Distributional chaos for triangular maps
• The three versions of distributional chaos
• A characterization of ω-limit sets of maps of the interval with zero topological entropy
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• On Li-Yorke pairs
• Li–Yorke sensitive minimal maps

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