Oscillation family in weakly coupled identical systems


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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.

About the authors

I. N. Barabanov

Trapeznikov Institute of Control Sciences

Author for correspondence.
Email: ivbar@ipu.ru
Russian Federation, Moscow

V. N. Tkhai

Trapeznikov Institute of Control Sciences

Email: ivbar@ipu.ru
Russian Federation, Moscow

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