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On perturbations of systems with multidimensional degeneration

  • Robust and Adaptive Systems
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Abstract

Bifurcation conditions are found for the periodic solutions in systems of differential equations with the perturbation (small disturbance) in the case of existence of joined Floke solutions in a linearized nonperturbed system. For this case a multidimensional analog of the Malkin bifurcation function is built up.

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Authors and Affiliations

  1. Voronezh State University, Voronezh, Russia

    M. I. Kamenskii & B. A. Mikhailenko

Authors
  1. M. I. Kamenskii
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  2. B. A. Mikhailenko
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Original Russian Text © M.I. Kamenskii, B.A. Mikhailenko, 2011, published in Avtomatika i Telemekhanika, 2011, No. 5, pp. 148–160.

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Kamenskii, M.I., Mikhailenko, B.A. On perturbations of systems with multidimensional degeneration. Autom Remote Control 72, 1036–1047 (2011). https://doi.org/10.1134/S0005117911050110

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  • DOI: https://doi.org/10.1134/S0005117911050110

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