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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2019 Volume 106, Issue 3, Pages 333–340 (Mi mzm11970)

This article is cited in 3 papers

The Exact Baire Class of Topological Entropy of Nonautonomous Dynamical Systems

A. N. Vetokhinab

a Lomonosov Moscow State University
b Bauman Moscow State Technical University

Abstract: We consider a parametric family of nonautonomous dynamical systems continuously depending on a parameter from some metric space. For any such family, the topological entropy of its dynamical systems is studied as a function of the parameter from the point of view of the Baire classification of functions.

Keywords: nonautonomous dynamical system, topological entropy, Baire classification of functions.

UDC: 517.938.5

Received: 15.02.2018
Revised: 28.11.2018

DOI: 10.4213/mzm11970


 English version:
Mathematical Notes, 2019, 106:3, 327–333

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© Steklov Math. Inst. of RAS, 2025