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Matematicheskie Zametki, 2018, Volume 104, Issue 2, Pages 216–230
DOI: https://doi.org/10.4213/mzm11704 (Mi mzm11704) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Application of the Averaging Principle to the Study of the Dynamics of the Delay Logistic Equation

S. A. Kashchenkoab

a P.G. Demidov Yaroslavl State University
b National Engineering Physics Institute "MEPhI", Moscow
Full-text PDF (522 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11704
Abstract: The delay logistic equation with rapidly oscillating coefficients is studied. An averaged equation is constructed, and its dynamics is investigated. Algorithms relating the dynamical modes of the original and averaged equations are developed. It is established that the solutions are particularly sensitive to the choice of functions describing the oscillations of the delay coefficient.
Keywords: averaging, stability, normal forms, bifurcations, asymptotics.
Received: 17.05.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 2, Pages 231–243
DOI: https://doi.org/10.1134/S0001434618070246
Bibliographic databases:
Document Type: Article
UDC: 517.9
PACS: 05.45.-a
Language: Russian
Citation: S. A. Kashchenko, “Application of the Averaging Principle to the Study of the Dynamics of the Delay Logistic Equation”, Mat. Zametki, 104:2 (2018), 216–230; Math. Notes, 104:2 (2018), 231–243
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm11704
  • https://www.mathnet.ru/eng/mzm/v104/i2/p216
    • This publication is cited in the following 4 articles:
    1. S. A. Kaschenko, “Chains with Diffusion-Type Couplings Containing a Large Delay”, Math. Notes, 115:3 (2024), 323–335  mathnet  crossref  crossref  mathscinet
    2. Sergey Kashchenko, “Chains with Connections of Diffusion and Advective Types”, Mathematics, 12:6 (2024), 790  crossref
    3. S. A. Kashchenko, D. O. Loginov, “Andronov–Hopf Bifurcation in Logistic Delay Equations with Diffusion and Rapidly Oscillating Coefficients”, Math. Notes, 108:1 (2020), 50–63  mathnet  crossref  crossref  mathscinet
    4. S. A. Kashchenko, D. O. Loginov, “Andronov–Hopf Bifurcation in Logistic Delay Equations with Diffusion and Rapidly Oscillating Coefficients”, Math Notes, 108:1-2 (2020), 50  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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