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The Andronov-Hopf bifurcation in a model of a hypothetical gene regulatory network

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Abstract

Stability of the limit cycles of small amplitude resulting from the Andronov-Hopf bifurcation is studied in a system of ordinary differential equations which describes the behavior of a hypothetical gene regulatory network.

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Authors and Affiliations

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

    E. P. Volokitin & S. A. Treskov

Authors
  1. E. P. Volokitin
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  2. S. A. Treskov
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Original Russian Text © E.P. Volokitin, S.A. Treskov, 2005, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2005, Vol. VIII, No. 1(21), pp. 30–40.

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Volokitin, E.P., Treskov, S.A. The Andronov-Hopf bifurcation in a model of a hypothetical gene regulatory network. J. Appl. Ind. Math. 1, 127–136 (2007). https://doi.org/10.1134/S1990478907010139

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  • DOI: https://doi.org/10.1134/S1990478907010139

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