Some properties of the topological entropy of a family of dynamical systems defined on an arbitrary metric space

DOI10.1134/S0012266121080012zbMath1478.37033OpenAlexW3196464124WikidataQ115249828 ScholiaQ115249828MaRDI QIDQ1982378

A. N. Vetokhin

Publication date: 8 September 2021

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266121080012

zbMATH Keywords

topological entropyBaire classification of functionsnoncompact metric space

Mathematics Subject Classification ID

Topological entropy (37B40) Classification of real functions; Baire classification of sets and functions (26A21) Dynamics in general topological spaces (37B02)

Cites Work

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• Structure of the semicontinuity sets of the Lyapunov exponents of linear differential systems continuously depending on a parameter
• The set of lower semi-continuity points of topological entropy of a continuous one-parametric family of dynamical systems
• The exact Baire class of topological entropy of nonautonomous dynamical systems
• On some properties of topological entropy and topological pressure of families of dynamical systems continuously depending on a parameter
• Typical property of the topological entropy of continuous mappings of compact sets
• The topological entropy on a space of homeomorphisms does not belong to the first Baire class
• Topological Entropy
• Entropy for Group Endomorphisms and Homogeneous Spaces

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