Basic oscillation mode in the coupled-subsystems model (original) (raw)

Abstract

Consideration was given to the model obeying a system of ordinary differential equations where the subsystems are systems of autonomous ordinary differential equations. If the coupling parameter ɛ = 0, then the model falls apart into decoupled subsystems. For a model consisting of coupled subsystems, considered was the main mode for which the problems of oscillations, bifurcation, and stability were solved, and the results obtained before for the case of two second-order subsystems were generalized.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
    I. N. Barabanov & V. N. Tkhai
  2. Kzylorda State University, Kzylorda, Kazakhstan
    A. T. Tureshbaev

Authors

  1. I. N. Barabanov
  2. A. T. Tureshbaev
  3. V. N. Tkhai

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Correspondence toI. N. Barabanov.

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Original Russian Text © I.N. Barabanov, A.T. Tureshbaev, V.N. Tkhai, 2014, published in Avtomatika i Telemekhanika, 2014, No. 12, pp. 28–41.

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Barabanov, I.N., Tureshbaev, A.T. & Tkhai, V.N. Basic oscillation mode in the coupled-subsystems model.Autom Remote Control 75, 2112–2123 (2014). https://doi.org/10.1134/S0005117914120030

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