Factor maps and invariant distributional chaos

DOI10.1016/j.jde.2013.09.009zbMath1345.37006arXiv1209.2170OpenAlexW2964255535MaRDI QIDQ2349979

Paweł Wilczyński, Magdalena Foryś, Piotr Oprocha

Publication date: 18 June 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2170

zbMATH Keywords

symbolic dynamicsPoincaré mapscrambled setdistributional chaosfactor map

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (5)

Operators with the specification property ⋮ Distributional chaos and factors ⋮ A construction of multiply Xiong chaotic set with full topological entropy for \(\beta\)-transformation ⋮ On an extension of Mycielski’s theorem and invariant scrambled sets ⋮ A dynamical version of the Kuratowski–Mycielski theorem and invariant chaotic sets

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