Topological entropy of maps on the real line

DOI10.1016/j.topol.2005.01.006zbMath1085.37010OpenAlexW2007973800MaRDI QIDQ818395

N. E. Zubov

Publication date: 20 March 2006

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2005.01.006

zbMATH Keywords

topological entropydiscrete dynamical systempiecewise monotone maps

Mathematics Subject Classification ID

Topological entropy (37B40) Low-dimensional dynamical systems (37E99)

Related Items (18)

On the topological entropy on the space of fuzzy numbers ⋮ The entropy of co-compact open covers ⋮ On the topological entropy of some skew-product maps ⋮ Topological entropy of compact subsystems of transitive real line maps ⋮ On two notions of topological entropy for noncompact spaces ⋮ Topological entropy of the extended tree map on the space of fuzzy numbers ⋮ On two notions of fuzzy topological entropy ⋮ Étale dynamical systems and topological entropy ⋮ Dynamics and topological entropy for Zadeh's extension of a compact system ⋮ On the Dynamics of the q-Deformed Gaussian Map ⋮ Fuzzy topological entropy of fuzzy continuous functions on fuzzy topological spaces ⋮ Topological \(r\)-entropy and measure-theoretic \(r\)-entropy of a continuous map ⋮ Entropy on noncompact sets ⋮ Topological entropy of fuzzified dynamical systems ⋮ On fuzzy entropy and topological entropy of fuzzy extensions of dynamical systems ⋮ Topological entropy for local processes ⋮ Topological entropy of continuous functions on topological spaces ⋮ Topological entropy of continuous transitive maps on the real line

Cites Work

• Topological pressure and the variational principle for noncompact sets
• Dynamic complexity in duopoly games
• Dynamics in one dimension
• Factor maps, entropy and fiber cardinality for Markov shifts
• Topological entropy for noncompact spaces
• Properties of topologically transitive maps on the real line
• Metrics and entropy for non-compact spaces. Appendix by Daniel J. Rudolph
• Chains, entropy, coding
• A Minimal Positive Entropy Homeomorphism of the 2-Torus
• Topological Entropy for Noncompact Sets
• Topological Entropy
• Entropy for Group Endomorphisms and Homogeneous Spaces
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