For graph maps, one scrambled pair implies Li-Yorke chaos

DOI10.1090/S0002-9939-2014-11937-XzbMath1348.37068arXiv1205.3882OpenAlexW2052224768MaRDI QIDQ5418525

Sylvie Ruette, Ľubomír Snoha

Publication date: 4 June 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3882

zbMATH Keywords

graphLi-Yorke chaosscrambled setscrambled paircountable metric space

Mathematics Subject Classification ID

Related Items (14)

Quasi-graphs, zero entropy and measures with discrete spectrum ⋮ Scrambled sets in shift spaces on a countable alphabet ⋮ Generic chaos on dendrites ⋮ The life and mathematics of Jaroslav Smítal ⋮ Recurrence and nonwandering sets of local dendrite maps ⋮ Cardinalities of scrambled sets and positive scrambled sets ⋮ On recurrence and entropy in the hyperspace of continua in dimension one ⋮ On dynamics of graph maps with zero topological entropy ⋮ Möbius disjointness conjecture for local dendrite maps ⋮ Li-Yorke chaos for dendrite maps with zero topological entropy and \(\omega\)-limit sets ⋮ Graph maps with zero topological entropy and sequence entropy pairs ⋮ Local dendrite maps without periodic points ⋮ Some properties of circle maps with zero topological entropy ⋮ On the structure of \(\alpha \)-limit sets of backward trajectories for graph maps

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