Work

On some properties of the local entropy of dynamical systems unwinded as a function of a point in the phase space

Year: 2025

Type: article

Abstract: The article studies the nature of the dependence on the local entropy point of a non-autonomous dynamical system. It is proved that the local entropy is a function of the second Baire class on the phase space, and its set of lower semicontinuity points forms an everywhere dense set of type $G_\delta$. An autonomous dynamical system is constructed such that the set of above semicontinuity points of the local entropy of this system is empty.

Source: Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki

DOI: 10.35634/vm250202

Author: A.N. Vetokhin

Institution: Lomonosov Moscow State University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411523727

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