Omega-limit sets and invariant chaos in dimension one

DOI10.1080/10236198.2015.1106485zbMath1376.37086arXiv1510.08131OpenAlexW2105240108MaRDI QIDQ3185993

Michal Málek

Publication date: 8 August 2016

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.08131

zbMATH Keywords

topological entropyLi-Yorke chaosscrambled setdistributional chaosgraph maptree mapinvariant chaos

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamical systems involving maps of trees and graphs (37E25)

Related Items (3)

Birkhoff centre and backward limit points ⋮ On distributional spectrum of piecewise monotonic maps ⋮ On the spectrum of dynamical systems on trees

Cites Work

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• Horseshoes, entropy and periods for graph maps
• Distributional chaos for triangular maps
• Relations between distributional, Li--Yorke and \(\omega\) chaos
• Omega limit sets and distributional chaos on graphs
• On variants of distributional chaos in dimension one
• Invariant scrambled sets and distributional chaos
• Chaotic Functions with Zero Topological Entropy
• Period Three Implies Chaos
• Measures of Chaos and a Spectral Decomposition of Dynamical Systems on the Interval
• Spaces of ω-limit sets of graph maps

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