The set of lower semi-continuity points of topological entropy of a continuous one-parametric family of dynamical systems

DOI10.3103/S0027132219030069zbMath1429.37009OpenAlexW2958274607WikidataQ127523164 ScholiaQ127523164MaRDI QIDQ2287144

A. N. Vetokhin

Publication date: 23 January 2020

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132219030069

zbMATH Keywords

topological entropysemi-continuity points

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamics in general topological spaces (37B02)

Related Items (4)

On the set of continuity of the topological entropy of parameter-dependent mappings of the interval ⋮ The set of limiting realizable values of topological entropy of continuous mappings of a Cantor set ⋮ Some properties of the topological entropy of a family of dynamical systems defined on an arbitrary metric space ⋮ On some properties of topological entropy and topological pressure of families of dynamical systems continuously depending on a parameter

Cites Work

• Structure of the semicontinuity sets of the Lyapunov exponents of linear differential systems continuously depending on a parameter
• Typical property of the topological entropy of continuous mappings of compact sets
• Unnamed Item

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