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On some multidimensional models of gene network functioning

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Abstract

We obtain some sufficient conditions for the nonuniqueness of cycles in nonlinear dynamical systems considered as the models of gene network functioning. The constructive methods for the determination of these cycles and the invariant surfaces containing the mare described as well.

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Authors and Affiliations

  1. Polzunov Altay State Technical University, ul. Lenina 46, Barnaul, 656038, Russia

    A. A. Akinshin

  2. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    V. P. Golubyatnikov & I. V. Golubyatnikov

Authors
  1. A. A. Akinshin
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  2. V. P. Golubyatnikov
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  3. I. V. Golubyatnikov
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Correspondence to A. A. Akinshin.

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Original Russian Text © A.A. Akinshin, V.P. Golubyatnikov, I.V. Golubyatnikov, 2013, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2013, Vol. XVI, No. 1, pp. 3–9.

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Akinshin, A.A., Golubyatnikov, V.P. & Golubyatnikov, I.V. On some multidimensional models of gene network functioning. J. Appl. Ind. Math. 7, 296–301 (2013). https://doi.org/10.1134/S1990478913030022

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  • DOI: https://doi.org/10.1134/S1990478913030022

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