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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 1, Pages 71–89
DOI: https://doi.org/10.31857/S0044466922010070 (Mi zvmmf11345) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Ordinary differential equations

Traveling waves in fully coupled networks of linear oscillators

S. D. Glyzin, A. Yu. Kolesov

Yaroslavl State University, 150000, Yaroslavl, Russia
Citations (3)
DOI: https://doi.org/10.31857/S0044466922010070
Abstract: Special systems of ordinary differential equations – the so called fully coupled networks of nonlinear oscillators – are considered. For this class of systems, methods for analyzing the existence and stability of solutions of the traveling wave type are proposed. A feature of the proposed methods is that they use auxiliary delay systems for finding periodic solutions and for analyzing their stability properties.
Key words: fully coupled networks of linear oscillators, traveling wave, delay system, asymptotic behavior, stability, buffering effect.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10055/18
This work was supported by the Russian Foundation for Basic Research, project no. 18-29-10055/18.
Received: 28.02.2021
Revised: 28.02.2021
Accepted: 04.09.2021
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 1, Pages 66–83
DOI: https://doi.org/10.1134/S0965542522010079
Bibliographic databases:
Document Type: Article
UDC: 517.926
Language: Russian
Citation: S. D. Glyzin, A. Yu. Kolesov, “Traveling waves in fully coupled networks of linear oscillators”, Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022), 71–89; Comput. Math. Math. Phys., 62:1 (2022), 66–83
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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