Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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 2 scientific papers (total in 2 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 (2)
References:
PDF
HTML
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
\Bibitem{KasGlu22}
\by I.~S.~Kashchenko, E.~M.~Glushevskii
\paper Local dynamics of equation with periodically distributed delay
\jour TMF
\yr 2022
\vol 212
\issue 2
\pages 273--286
\mathnet{http://mi.mathnet.ru/tmf10274}
\crossref{https://doi.org/10.4213/tmf10274}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461557}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...212.1125K}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 212
\issue 2
\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}
Linking options:
  • 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 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:156
    Full-text PDF :24
    References:46
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024