The Exact Baire Class of Topological Entropy of Nonautonomous Dynamical Systems
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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.
Keywordsnonautonomous dynamical system topological entropy Baire classification of functions
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- 5.A. N. Vetokhin, “The topological entropy on a space of homeomorphisms does not belong to the first Baire class,” Vestnik Moskov. Univ. Ser. I Mat. Mekh., No. 2, 44–48 (2016) [Moscow Univ. Math. Bull. 71 (2), 75–78 (2016)].Google Scholar
- 6.A. A. Astrelina, “Baire class of topological entropy of nonautonomous dynamical systems,” Vestnik Moskov. Univ. Ser. IMat.Mekh., No. 5, 64–67 (2018) [Moscow Univ.Math. Bull. 73 (5), 203–206 (2018)].Google Scholar