The set of lower semi-continuity points of topological entropy of a continuous one-parametric family of dynamical systems
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2019), pp. 69-71
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
The description of the set of lower semi-continuity points and the set of upper semi-continuity points of the topological entropy of the systems considered as a function on some parameter is obtained for a family of dynamical systems continuously dependent on parameter.
[1] Katok A. B., Khasselblat B., Vvedenie v sovremennuyu teoriyu dinamicheskikh sistem, Faktorial, M., 1999
[2] Vetokhin A. N., “Tipichnoe svoistvo topologicheskoi entropii nepreryvnykh otobrazhenii kompaktov”, Differents. uravneniya, 53:4 (2017), 448–453 | DOI | MR | Zbl
[3] Karpuk M. V., “Stroenie mnozhestva tochek polunepreryvnosti pokazatelei Lyapunova lineinykh differentsialnykh sistem, nepreryvno zavisyaschikh ot parametra”, Differents. uravneniya, 51:9 (2015), 1404–1408 | DOI | MR | Zbl