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This article is cited in 1 scientific paper (total in 1 paper)
On the set of continuity of topological entropy families of segment mappings depending on the parameter
A. N. Vetokhinab a Lomonosov Moscow State University
b Bauman Moscow State Technical University
Abstract:
Families of continuous mappings of the interval continuously depending on a parameter are considered.
Any $G_\delta$ set dense in the parameter space is realized as
the set of continuity of topological entropy for a suitable family of continuous mappings.
Keywords:
dynamical system,
topological entropy.
Received: 22.09.2020 Revised: 02.02.2021 Accepted: 10.02.2021
Citation:
A. N. Vetokhin, “On the set of continuity of topological entropy families of segment mappings depending on the parameter”, Funktsional. Anal. i Prilozhen., 55:3 (2021), 42–50; Funct. Anal. Appl., 55:3 (2021), 210–216
Linking options:
https://www.mathnet.ru/eng/faa3841https://doi.org/10.4213/faa3841 https://www.mathnet.ru/eng/faa/v55/i3/p42
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Abstract page: | 228 | Full-text PDF : | 62 | References: | 38 | First page: | 12 |
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