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Funktsional'nyi Analiz i ego Prilozheniya, 2021, Volume 55, Issue 3, Pages 42–50
DOI: https://doi.org/10.4213/faa3841 (Mi faa3841) 		 
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
Full-text PDF (524 kB) Citations (1)
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DOI: https://doi.org/10.4213/faa3841
Abstract: Families of continuous mappings of the interval continuously depending on a parameter are considered. Any GδGδ 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
English version:
Functional Analysis and Its Applications, 2021, Volume 55, Issue 3, Pages 210–216
DOI: https://doi.org/10.1134/S0016266321030035
Bibliographic databases:
Document Type: Article
UDC: 517.93
Language: Russian
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
Citation in format AMSBIB
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\paper On the set of continuity of topological entropy families of segment mappings depending on the parameter
\jour Funktsional. Anal. i Prilozhen.
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\vol 55
\issue 3
\pages 42--50
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  • https://doi.org/10.4213/faa3841
  • https://www.mathnet.ru/eng/faa/v55/i3/p42
    • This publication is cited in the following 1 articles:
    1. A. N. Vetokhin, “Exact Baire classification of local entropy of parametric sets of dynamical systems”, Moscow University Mathematics Bulletin, 78:6 (2023), 281–290  mathnet  crossref  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    Full-text PDF :84
    References:49
    First page:12
     
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