On the dynamics of subcontinua of a tree

DOI10.1080/10236198.2011.634804zbMath1277.37033arXiv1108.2354OpenAlexW2061672820MaRDI QIDQ4908682

Mykola Matviichuk

Publication date: 6 March 2013

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

Full work available at URL: https://arxiv.org/abs/1108.2354

zbMATH Keywords

topological entropytree mapsfunctional envelopeconnected envelope

Mathematics Subject Classification ID

Topological entropy (37B40) Continua theory in dynamics (37B45) Dynamical systems involving maps of trees and graphs (37E25)

Related Items (9)

Monotone maps on dendrites and their induced maps ⋮ Unnamed Item ⋮ A survey of some aspects of dynamical topology: dynamical compactness and Slovak spaces ⋮ On recurrence and entropy in the hyperspace of continua in dimension one ⋮ The life and mathematics of Sergiĭ Kolyada ⋮ Chain transitive induced interval maps on continua ⋮ (Non-)expansivity in functional envelopes ⋮ The fixed-point property under induced interval maps of continua ⋮ Entropy of induced maps of regular curves homeomorphisms

Cites Work

• The transitivity of induced maps
• Chaos for induced hyperspace maps
• Topological entropy and chaos for maps induced on hyperspaces
• Dynamical Systems Induced by Continuous Time Difference Equations and Long-time Behavior of Solutions
• Functional envelope of a dynamical system
• Trajectories of intervals in one-dimensional dynamical systems

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