Continuum-wise expansiveness and specification for set-valued functions and topological entropy

DOI10.1090/proc/13168zbMath1366.37015arXiv1510.07615OpenAlexW1836677913MaRDI QIDQ2817004

Welington Cordeiro, Maria Jose Pacifico

Publication date: 26 August 2016

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

Full work available at URL: https://arxiv.org/abs/1510.07615

zbMATH Keywords

entropyset-valued functionspecification propertycontinuum-wise expansiveness

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40)

Related Items (12)

Chaos for multivalued maps and induced hyperspace maps ⋮ Topologically transitive and mixing properties of set-valued dynamical systems ⋮ Transitive points in CR-dynamical systems ⋮ Topological dynamics of Markov multi-maps of the interval ⋮ Unnamed Item ⋮ Topological stability in set-valued dynamics ⋮ On the shadowing property and shadowable point of set-valued dynamical systems ⋮ Topological conjugacy between multifunctions ⋮ Entropy conjugacy for Markov multi-maps of the interval ⋮ Chaos for Differential Equations with Multivalued Impulses ⋮ Topological Chaos for Differential Inclusions with Multivalued Impulses on Tori ⋮ Topological entropy of multivalued maps in topological spaces and hyperspaces

Cites Work

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• Continuum-Wise Expansive Homeomorphisms
• The specification property on a set-valued map and its inverse limit
• Topological entropy on set-valued functions
• Topological Entropy
• Pointwise Expansion Homeomorphisms
• Entropy for Group Endomorphisms and Homogeneous Spaces
• Periodic Orbits for Hyperbolic Flows
• Unstable Homeomorphisms
• Continuum-wise expansivity and entropy for flows

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