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, 2020, Volume 203, Number 1, Pages 106–118
DOI: https://doi.org/10.4213/tmf9819 (Mi tmf9819) 		 
This article is cited in 4 scientific papers (total in 4 papers)

A relay Mackey–Glass model with two delays

M. M. Preobrazhenskaya

Demidov Yaroslavl State University, Yaroslavl, Russia
Full-text PDF (525 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf9819
Abstract: We study the dynamics of the generalized Mackey–Glass equation with two delays using the large-parameter method. After a special exponential replacement of variables, a singularly perturbed equation is obtained, for which we construct a meaningful limit object, a differential–difference relay equation with two delays. We prove that the relay equation has a simple periodic solution with one interval on the period where the solution is positive. To illustrate the obtained result, we numerically analyze the original singularly perturbed equation, for which we find a solution near the periodic solution of the limit relay equation.
Keywords: differential–difference equation, Mackey–Glass equation, large parameter, Poincaré operator.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МК-1190.2020.1
This research was supported by the President of the Russian Federation (Grant No. MK-1190.2020.1).
Received: 16.09.2019
Revised: 28.01.2020
English version:
Theoretical and Mathematical Physics, 2020, Volume 203, Issue 1, Pages 524–534
DOI: https://doi.org/10.1134/S004057792004008X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. M. Preobrazhenskaya, “A relay Mackey–Glass model with two delays”, TMF, 203:1 (2020), 106–118; Theoret. and Math. Phys., 203:1 (2020), 524–534
Citation in format AMSBIB
\Bibitem{Pre20}
\by M.~M.~Preobrazhenskaya
\paper A~relay Mackey--Glass model with two delays
\jour TMF
\yr 2020
\vol 203
\issue 1
\pages 106--118
\mathnet{http://mi.mathnet.ru/tmf9819}
\crossref{https://doi.org/10.4213/tmf9819}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4082001}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2020TMP...203..524P}
\elib{https://elibrary.ru/item.asp?id=43286976}
\transl
\jour Theoret. and Math. Phys.
\yr 2020
\vol 203
\issue 1
\pages 524--534
\crossref{https://doi.org/10.1134/S004057792004008X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000529685500008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85083969659}
Linking options:
  • https://www.mathnet.ru/eng/tmf9819
  • https://doi.org/10.4213/tmf9819
  • https://www.mathnet.ru/eng/tmf/v203/i1/p106
    • This publication is cited in the following 4 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:291
    Full-text PDF :39
    References:48
    First page:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024