Avtomat. i Telemekh., 2017, Issue 4, Pages 21–36
This article is cited in 2 scientific papers (total in 2 papers)
Model containing coupled subsystems with oscillations of different types
V. N. Tkhai
Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
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.
model, coupled subsystems, types of oscillation, family, cycle, stability, coupling controls, natural stabilization.
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Automation and Remote Control, 2017, 78:4, 595–607
Presented by the member of Editorial Board: Л. Б. Рапопорт
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
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\paper Model containing coupled subsystems with oscillations of different types
\jour Avtomat. i Telemekh.
\jour Autom. Remote Control
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This publication is cited in the following articles:
V. N. Tkhai, “Stabilization of oscillations in a coupled periodic system”, Autom. Remote Control, 78:11 (2017), 1967–1977
V. N. Tkhai, “Periodicheskaya model, soderzhaschaya svyazannye podsistemy s razlichnymi tipami kolebanii”, Avtomat. i telemekh., 2019, no. 3, 55–67
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