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Matematicheskie Zametki, 2021, Volume 109, Issue 5, Pages 734–746
DOI: https://doi.org/10.4213/mzm12915 (Mi mzm12915) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Properties of Neighborhoods of Attractors of Dynamical Systems

B. S. Kalitine

Belarusian State University
Full-text PDF (516 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm12915
Abstract: The paper deals with the study of dynamical systems admitting compact attractors, which describe the behavior of trajectories of the system at infinity and play an important role in the qualitative theory of stability of motion. The properties of trajectories of a dynamical system in the attraction domain of the attractors and on the boundary are established by using concepts such as elliptic and weakly elliptic sets, as well as the pseudo-stability and pseudo-prolongation properties.
Keywords: dynamical system, compact set, attraction, attractor.
Received: 02.10.2020
English version:
Mathematical Notes, 2021, Volume 109, Issue 5, Pages 748–758
DOI: https://doi.org/10.1134/S0001434621050084
Bibliographic databases:
Document Type: Article
UDC: 517.938:925
Language: Russian
Citation: B. S. Kalitine, “Properties of Neighborhoods of Attractors of Dynamical Systems”, Mat. Zametki, 109:5 (2021), 734–746; Math. Notes, 109:5 (2021), 748–758
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm12915
  • https://doi.org/10.4213/mzm12915
  • https://www.mathnet.ru/eng/mzm/v109/i5/p734
    • This publication is cited in the following 2 articles:
    1. B. S. Kalitin, “On a Problem of V. V. Nemytskii”, Math. Notes, 113:2 (2023), 200–211  mathnet  crossref  crossref  mathscinet
    2. B. S. Kalitin, “Psevdoprolongatsii v kachestvennoi teorii dinamicheskikh sistem”, Zhurn. Belorus. gos. un-ta. Matem. Inf., 3 (2022), 45–53  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:42
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