Li-Yorke chaos for dendrite maps with zero topological entropy and \(\omega\)-limit sets

DOI10.3934/dcds.2017127zbMath1360.37049arXiv1506.06872OpenAlexW2963575092MaRDI QIDQ515238

Ghassen Askri

Publication date: 13 March 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06872

zbMATH Keywords

periodic points\(\omega\)-limit setLi-Yorke chaosdendrite mapLi-Yorke pair

Mathematics Subject Classification ID

Topological entropy (37B40) Continua theory in dynamics (37B45) Symbolic dynamics (37B10)

Related Items (7)

Quasi-graphs, zero entropy and measures with discrete spectrum ⋮ Dendrites and measures with discrete spectrum ⋮ A large class of dendrite maps for which Möbius disjointness property of Sarnak is fulfilled ⋮ Topological sequence entropy and topological dynamics of tree maps ⋮ Equicontinuity of maps on local dendrites ⋮ Möbius disjointness conjecture for local dendrite maps ⋮ Equicontinuity and Li–Yorke pairs of dendrite maps

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