Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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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)
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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}
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    • 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
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