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Avtomatika i Telemekhanika, 2017, Issue 4, Pages 21–36 (Mi at14445)  

This article is cited in 6 scientific papers (total in 6 papers)

Nonlinear Systems

Model containing coupled subsystems with oscillations of different types

V. N. Tkhai

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (655 kB) Citations (6)
References:
Abstract: Consideration was given to an autonomous model containing coupled subsystems (MCCS) and, in the absence of couplings between the subsystems, falling down into systems of ordinary differential equations. It is assumed that the subsystems admit different types of nondegenerate single-frequency oscillations. Solved were the problems of oscillations in MCCS, their stability, and stabilization of MCCS oscillation by smooth autonomous coupling controls. It was shown how the developed theory is applied to the coupled Duffing and Van der Pol oscillators.
Keywords: model, coupled subsystems, types of oscillation, family, cycle, stability, coupling controls, natural stabilization.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00587
This work was supported by the Russian Foundation for Basic Research, project no. 16-01-00587.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 28.04.2016
Accepted: 30.06.2016
English version:
Automation and Remote Control, 2017, Volume 78, Issue 4, Pages 595–607
DOI: https://doi.org/10.1134/S0005117917040026
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. N. Tkhai, “Model containing coupled subsystems with oscillations of different types”, Avtomat. i Telemekh., 2017, no. 4, 21–36; Autom. Remote Control, 78:4 (2017), 595–607
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2017/i4/p21
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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