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Periodic two-cluster synchronization modes in completely connected genetic networks

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Abstract

We consider nonlinear systems of differential-difference equations with delays that provide mathematical models for artificial complete genetic networks. We study problems of the existence and stability of special periodic motions referred to as two-cluster synchronization modes in these systems.

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References

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    S. D. Glyzin, A. Yu. Kolesov & N. Kh. Rozov

  2. Yaroslavl State University, Yaroslavl, Russia

    S. D. Glyzin, A. Yu. Kolesov & N. Kh. Rozov

Authors
  1. S. D. Glyzin
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  2. A. Yu. Kolesov
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  3. N. Kh. Rozov
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Corresponding author

Correspondence to S. D. Glyzin.

Additional information

Original Russian Text © S.D. Glyzin, A.Yu. Kolesov, N.Kh. Rozov, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 2, pp. 157–176.

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Glyzin, S.D., Kolesov, A.Y. & Rozov, N.K. Periodic two-cluster synchronization modes in completely connected genetic networks. Diff Equat 52, 157–176 (2016). https://doi.org/10.1134/S0012266116020038

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  • DOI: https://doi.org/10.1134/S0012266116020038

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