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Oscillation family in weakly coupled identical systems

  • Nonlinear 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.

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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

Authors
  1. I. N. Barabanov
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  2. V. N. Tkhai
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Correspondence to I. N. Barabanov.

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Original Russian Text © I.N. Barabanov, V.N. Tkhai, 2016, published in Avtomatika i Telemekhanika, 2016, No. 4, pp. 14–23.

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Barabanov, I.N., Tkhai, V.N. Oscillation family in weakly coupled identical systems. Autom Remote Control 77, 561–568 (2016). https://doi.org/10.1134/S0005117916040020

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  • DOI: https://doi.org/10.1134/S0005117916040020

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