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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 212, Number 2, Pages 273–286
DOI: https://doi.org/10.4213/tmf10274 (Mi tmf10274) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Local dynamics of equation with periodically distributed delay

I. S. Kashchenko, E. M. Glushevskii

Demidov Yaroslavl State University, Yaroslavl, Russia
Full-text PDF (528 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf10274
Abstract: We study an equation with periodically distributed delay. The dependence of the equilibrium state stability on the parameters is investigated. We show that the stability region can have a complicated shape. For a long delay, we construct the asymptotic approximations of expressions for the stability region boundary in the parameter space. We construct the normal forms and determine the occurring bifurcations in the critical cases.
Keywords: delay, dynamics, asymptotics, normal form.
Funding agency Grant number
Russian Science Foundation 21-71-30011
This research was supported by the Russian Science Foundation grant No. 21-71-30011.
Received: 27.02.2022
Revised: 31.05.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 212, Issue 2, Pages 1125–1136
DOI: https://doi.org/10.1134/S0040577922080086
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: I. S. Kashchenko, E. M. Glushevskii, “Local dynamics of equation with periodically distributed delay”, TMF, 212:2 (2022), 273–286; Theoret. and Math. Phys., 212:2 (2022), 1125–1136
Citation in format AMSBIB
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\by I.~S.~Kashchenko, E.~M.~Glushevskii
\paper Local dynamics of equation with periodically distributed delay
\jour TMF
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\issue 2
\pages 273--286
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\crossref{https://doi.org/10.4213/tmf10274}
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\transl
\jour Theoret. and Math. Phys.
\yr 2022
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\pages 1125--1136
\crossref{https://doi.org/10.1134/S0040577922080086}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85136649182}
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  • https://www.mathnet.ru/eng/tmf10274
  • https://doi.org/10.4213/tmf10274
  • https://www.mathnet.ru/eng/tmf/v212/i2/p273
    • This publication is cited in the following 3 articles:
    1. A. Yu. Perevaryukha, “Phenomenological models of three scenarios of local coronavirus epidemics”, Math. Models Comput. Simul., 16:3 (2024), 396–411  mathnet  crossref  crossref
    2. A. Yu. Perevaryukha, “Modeling of Throbbing Invasive and Epidemic Processes Based on Biophysical Adaptation Hybrid Structures”, Tech. Phys., 2024  crossref
    3. A. Yu. Perevaryukha, “Modeling Trigger Evolution in Biophysical Invasions Based on the Situational Choice of Hybrid Computing”, Tech. Phys. Lett., 50:3 (2024), 391  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :29
    References:61
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