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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 212, Number 2, Pages 213–233
DOI: https://doi.org/10.4213/tmf10191 (Mi tmf10191) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Periodic two-cluster synchronization modes in fully coupled networks of nonlinear oscillators

S. D. Glyzin, A. Yu. Kolesov

Center of Integrable Systems, Demidov Yaroslavl State University, Yaroslavl, Russia
Full-text PDF (524 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf10191
Abstract: We consider special systems of ordinary differential equations, the so-called fully coupled networks of nonlinear oscillators. For a given class of systems, we propose methods that allow examining problems of the existence and stability of periodic two-cluster synchronization modes. For any of these modes, the set of oscillators falls into two disjoint classes. Within these classes, complete synchronization of oscillations is observed, and every two oscillators from different classes oscillate asynchronously.
Keywords: fully coupled network of nonlinear oscillators, periodic two-cluster synchronization modes, asymptotics, stability, buffering.
Funding agency Grant number
Russian Science Foundation 22-11-00209
The work was supported by the Russian Science Foundation grant No. 22-11-00209.
Received: 02.11.2021
Revised: 07.12.2021
English version:
Theoretical and Mathematical Physics, 2022, Volume 212, Issue 2, Pages 1073–1091
DOI: https://doi.org/10.1134/S0040577922080049
Bibliographic databases:
Document Type: Article
MSC: 34A34
Language: Russian
Citation: S. D. Glyzin, A. Yu. Kolesov, “Periodic two-cluster synchronization modes in fully coupled networks of nonlinear oscillators”, TMF, 212:2 (2022), 213–233; Theoret. and Math. Phys., 212:2 (2022), 1073–1091
Citation in format AMSBIB
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\by S.~D.~Glyzin, A.~Yu.~Kolesov
\paper Periodic two-cluster synchronization modes in fully coupled
networks of nonlinear oscillators
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\vol 212
\issue 2
\pages 213--233
\mathnet{http://mi.mathnet.ru/tmf10191}
\crossref{https://doi.org/10.4213/tmf10191}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461553}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...212.1073G}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 212
\issue 2
\pages 1073--1091
\crossref{https://doi.org/10.1134/S0040577922080049}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85136951771}
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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
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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