Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Rus. J. Nonlin. Dyn.:
Year:
Volume:
Issue:
Page:
Find




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

Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2017, Volume 13, Number 1, Pages 3–12
DOI: https://doi.org/10.20537/nd1701001 (Mi nd547) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Original papers

Bifurcation analysis of mutual synchronization of two oscillators coupled with delay

A. B. Adilova, S. A. Gerasimova, N. M. Ryskin

Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, Russia
Full-text PDF (377 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.20537/nd1701001
Abstract: In this paper, mutual synchronization of two limit-cycle oscillators coupled with delay is studied. The results of bifurcation analysis are presented under the assumption that the delay is small in comparison with the oscillation build-up time. The stability conditions for in-phase and anti-phase modes of synchronization are analyzed at different values of parameters. The synchronization tongues on the frequency mismatch — coupling strength plane are presented.
Keywords: bifurcation, delay, coupled oscillators, synchronization.
Funding agency Grant number
Russian Foundation for Basic Research 16-32-00124 мол-а
Received: 31.10.2016
Accepted: 29.12.2016
Bibliographic databases:
Document Type: Article
UDC: 537.86/530.182
MSC: 34C15, 34D06, 70K05, 70K50
Language: Russian
Citation: A. B. Adilova, S. A. Gerasimova, N. M. Ryskin, “Bifurcation analysis of mutual synchronization of two oscillators coupled with delay”, Nelin. Dinam., 13:1 (2017), 3–12
Citation in format AMSBIB
\Bibitem{AdiGerRys17}
\by A.~B.~Adilova, S.~A.~Gerasimova, N.~M.~Ryskin
\paper Bifurcation analysis of mutual synchronization of two oscillators coupled with delay
\jour Nelin. Dinam.
\yr 2017
\vol 13
\issue 1
\pages 3--12
\mathnet{http://mi.mathnet.ru/nd547}
\crossref{https://doi.org/10.20537/nd1701001}
\elib{https://elibrary.ru/item.asp?id=28840996}
Linking options:
  • https://www.mathnet.ru/eng/nd547
  • https://www.mathnet.ru/eng/nd/v13/i1/p3
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Нелинейная динамика
    Statistics & downloads:
    Abstract page:535
    Full-text PDF :284
    References:176
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2026