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Avtomatika i Telemekhanika, 2011, Issue 7, Pages 107–115
(Mi at2249)
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This article is cited in 4 scientific papers (total in 4 papers)
Nonlinear Systems
Oscillations and stability in quasiautonomous system. II. Critical point of the one-parameter family of periodic motions
V. N. Tkhai Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Abstract:
Consideration was given to the single-frequency oscillations of a periodic system allied to the nonlinear autonomous system. The publications of the present author demonstrated that the period on the family of oscillations of the autonomous system usually depends only on a single parameter. At that, the points of the family are divided into the ordinary (the derivative with respect to the period in parameter is other than zero) and critical (this derivative vanishes) points. Origination of oscillations at the critical point was studied. It was established that at least two resonance oscillations are generated. The first part of the paper considered the ordinary point.
Citation:
V. N. Tkhai, “Oscillations and stability in quasiautonomous system. II. Critical point of the one-parameter family of periodic motions”, Avtomat. i Telemekh., 2011, no. 7, 107–115; Autom. Remote Control, 72:7 (2011), 1450–1457
Linking options:
https://www.mathnet.ru/eng/at2249 https://www.mathnet.ru/eng/at/y2011/i7/p107
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