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Double-frequency oscillations of an impulse neuron equation with two delays

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Abstract

The dynamics of the generalized impulse neuron equation with two delays are studied. A local analysis of the loss of the stability of the nonzero equilibrium state is carried out. The phase reorganizations of the equation under study are numerically analyzed using the obtained asymptotic formulas.

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Authors and Affiliations

  1. Demidov State University, Yaroslavl, Russia

    S. D. Glyzin & E. O. Ovsyannikova

Authors
  1. S. D. Glyzin
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  2. E. O. Ovsyannikova
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Correspondence to S. D. Glyzin.

Additional information

Original Russian Text © S.D. Glyzin, E.O. Ovsyannikova, 2011, published in Modelirovanie i Analiz Informatsionnykh Sistem, 2011, No. 1, pp. 86–105.

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Glyzin, S.D., Ovsyannikova, E.O. Double-frequency oscillations of an impulse neuron equation with two delays. Aut. Control Comp. Sci. 47, 526–540 (2013). https://doi.org/10.3103/S0146411613070043

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  • DOI: https://doi.org/10.3103/S0146411613070043

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