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Stability of the simplest periodic solutions in the Stuart-Landau equation with large delay

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Abstract

In this paper, the stability of the simplest periodic solutions of a complex equation with large delay with cubic nonlinearity depending on the parameters is investigated. Sufficient conditions for the stability and instability of the periodic solutions are found. The geometry of the regions of stability and instability in the plane of parameters that define the main part of the solution is described.

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Authors and Affiliations

  1. Yaroslavl State University, Yaroslavl, Russia

    A. A. Kashchenko

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

Additional information

Original Russian Text © A.A. Kashchenko, 2012, published in Modelirovanie i Analiz Informatsionnykh Sistem, 2012, No. 3, pp. 136–141.

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Kashchenko, A.A. Stability of the simplest periodic solutions in the Stuart-Landau equation with large delay. Aut. Control Comp. Sci. 47, 566–570 (2013). https://doi.org/10.3103/S0146411613070092

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  • DOI: https://doi.org/10.3103/S0146411613070092

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