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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 3, Pages 69–71 (Mi vmumm632)  
This article is cited in 5 scientific papers (total in 5 papers)

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The set of lower semi-continuity points of topological entropy of a continuous one-parametric family of dynamical systems

A. N. Vetokhin

Bauman Moscow State Technical University
Full-text PDF (94 kB) Citations (5)
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Abstract: 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.
Key words: topological entropy.
Received: 28.09.2018
English version:
Moscow University Mathematics Bulletin, 2019, Volume 74, Issue 3, Pages 131–133
DOI: https://doi.org/10.3103/S0027132219030069
Bibliographic databases:
Document Type: Article
UDC: 517.93
Language: Russian
Citation: A. N. Vetokhin, “The set of lower semi-continuity points of topological entropy of a continuous one-parametric family of dynamical systems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 3, 69–71; Moscow University Mathematics Bulletin, 74:3 (2019), 131–133
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/vmumm/y2019/i3/p69
    • This publication is cited in the following 5 articles:
    1. A. N. Vetokhin, “Set of definitely attained values of the topological entropy of continuous mappings of the Cantor set”, Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 78:3 (2023), 144–149  mathnet  mathnet  crossref  crossref
    2. A. N. Vetokhin, “Exact Baire classification of local entropy of parametric sets of dynamical systems”, Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 78:6 (2023), 281–290  mathnet  mathnet  crossref  crossref
    3. A. N. Vetokhin, “On the set of continuity of topological entropy families of segment mappings depending on the parameter”, Funct. Anal. Appl., 55:3 (2021), 210–216  mathnet  crossref  crossref  isi
    4. A. N. Vetokhin, “Some Properties of the Topological Entropy of a Family of Dynamical Systems Defined on an Arbitrary Metric Space”, Diff Equat, 57:8 (2021), 975  crossref
    5. A. N. Vetokhin, “On Some Properties of Topological Entropy and Topological Pressure of Families of Dynamical Systems Continuously Depending on a Parameter”, Diff Equat, 55:10 (2019), 1275  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:126
    Full-text PDF :34
    References:29
    First page:2
     
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