This article is cited in 9 papers

Nonlinear Systems

Oscillation family in weakly coupled identical systems

I. N. Barabanov, V. N. Tkhai

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: Consideration was given to an autonomous model with weakly coupled identical subsystems. Existence of a family of periodic solutions which is similar to the family in a subsystem was established. A scenario of bifurcations of the characteristic exponents was given, and the stabilization problem was solved. An example was given.

Presented by the member of Editorial Board: A. I. Matasov

Received: 19.03.2015

 English version: Automation and Remote Control, 2016, 77:4, 561–568

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