A. N. Vetokhin, “Exact Baire classification of local entropy of parametric sets of dynamical systems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, Number 6,Pages <nobr>27

This article is cited in 2 papers

Mathematics

Exact Baire classification of local entropy of parametric sets of dynamical systems

A. N. Vetokhin^ab

^a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Bauman Moscow State Technical University

Abstract: We consider a parametric family of dynamical systems defined on a locally compact metric space and continuously dependent on a parameter from some metric space. For any such family, the local entropy of the dynamical systems included in it is studied as a function of a parameter from the point of view of the Baire classification of functions.

Key words: dynamical systems, local entropy, Baire classification of functions.

UDC: 517.93

Received: 24.05.2023

DOI: 10.55959/MSU0579-9368-1-64-6-4