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Dynamics of Delay Systems with Rapidly Oscillating Coefficients

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Abstract

The problems of generalization of the averaging principle to delay systems are considered. New effects are revealed in the study of bifurcation problems, as are new phenomena that arise in the case of rapid oscillations of the delay. As an application of the results, the dynamics of a logistic equation with rapidly oscillating coefficients is studied.

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Authors and Affiliations

  1. Demidov Yaroslavl State University, Yaroslavl, 220030, Russia

    S. A. Kashchenko

  2. National Research Nuclear University “MEPhI,”, Moscow, 115409, Russia

    S. A. Kashchenko

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  1. S. A. Kashchenko
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Correspondence to S. A. Kashchenko.

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Original Russian Text © S.A. Kashchenko, 2018, published in Differentsial’nye Uravneniya, 2018, Vol. 54, No. 1, pp. 15–29.

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Kashchenko, S.A. Dynamics of Delay Systems with Rapidly Oscillating Coefficients. Diff Equat 54, 13–27 (2018). https://doi.org/10.1134/S0012266118010032

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  • DOI: https://doi.org/10.1134/S0012266118010032

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