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Corporate dynamics of systems of logistic delay equations with large delay control

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Abstract

A system of two logistic equations with delay coupled by delayed control has been considered. It has been shown that, in the case of a fairly large delay control coefficient, the problem of the dynamics of the initial systems has been reduced to investigating the nonlocal dynamics of special families of partial differential equations that do not contain small and large parameters. New interesting dynamic phenomena are discovered based on the results of numerical analysis. Systems of three logistic delay equations with two types of diffusion relations have been considered. Special families of partial differential equations that do not contain small and large parameters have also been constructed for each of these systems. The research results for the dynamic properties of the original equations have been presented. It has been shown that the difference in the dynamics of the considered systems of three equations may be of a fundamental nature.

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Authors and Affiliations

  1. National Research Nuclear University MEPhI, sh. Kashirskoe 31, Moscow, 115409, Russia

    N. D. Bykova & S. A. Kaschenko

  2. Demidov Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150000, Russia

    N. D. Bykova & S. A. Kaschenko

Authors
  1. N. D. Bykova
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  2. S. A. Kaschenko
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Correspondence to N. D. Bykova.

Additional information

Original Russian Text © N.D. Bykova, S.A. Kaschenko, 2015, published in Modelirovanie i Analiz Informatsionnykh Sistem, 2015, Vol. 22, No. 3, pp. 372–391.

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Bykova, N.D., Kaschenko, S.A. Corporate dynamics of systems of logistic delay equations with large delay control. Aut. Control Comp. Sci. 50, 586–602 (2016). https://doi.org/10.3103/S0146411616070038

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  • DOI: https://doi.org/10.3103/S0146411616070038

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