This article is cited in 13 papers

Nonlinear Systems

Basic oscillation mode in the coupled-subsystems model

I. N. Barabanov^a, A. T. Tureshbaev^b, V. N. Tkhai<sup>a

a</sup> Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
^b Kzylorda State University, Kzylorda, Kazakhstan

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 $\varepsilon=0$, 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.

Presented by the member of Editorial Board: A. M. Krasnosel'skii

Received: 11.03.2014

 English version: Automation and Remote Control, 2014, 75:12, 2112–2123

Bibliographic databases:

• 
•