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Avtomatika i Telemekhanika, 2020, Issue 6, Pages 62–87
DOI: https://doi.org/10.31857/S0005231020060050 (Mi at15531) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Robust, Adaptive and Network Control

Synchronization and collective motion of a group of weakly coupled identical oscillators

A. Г. Galyaev, P. V. Lysenko

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (2189 kB) Citations (2)
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DOI: https://doi.org/10.31857/S0005231020060050
Abstract: The phenomena of synchronization for a large number of weakly coupled oscillators with dissipative couplings are studied. These couplings are taken into account in the system's dynamic equations in the form of diffusion matrices, guaranteeing asymptotically stable oscillations of the ensemble as a whole. As illustrative examples, three types of interaction of oscillators are considered, namely, interaction with each other, interaction with the nearest neighbors, and circular interaction with the nearest neighbors.
Keywords: linear systems, synchronization, weakly coupled oscillators, multiagent systems.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 7
This work was supported in part by Program no. 7 of the RAS Presidium.
Presented by the member of Editorial Board: M. V. Khlebnikov

Received: 12.08.2019
Revised: 18.09.2019
Accepted: 28.11.2019
English version:
Automation and Remote Control, 2020, Volume 81, Issue 6, Pages 1017–1036
DOI: https://doi.org/10.1134/S0005117920060065
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Г. Galyaev, P. V. Lysenko, “Synchronization and collective motion of a group of weakly coupled identical oscillators”, Avtomat. i Telemekh., 2020, no. 6, 62–87; Autom. Remote Control, 81:6 (2020), 1017–1036
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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