On some multidimensional models of gene network functioning

  • A. A. Akinshin
  • V. P. Golubyatnikov
  • I. V. Golubyatnikov
Article

DOI: 10.1134/S1990478913030022

Cite this article as:
Akinshin, A.A., Golubyatnikov, V.P. & Golubyatnikov, I.V. J. Appl. Ind. Math. (2013) 7: 296. doi:10.1134/S1990478913030022

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.

Keywords

nonlinear dynamical system gene network model phase portrait invariant domain equilibrium point cycle 

Copyright information

© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  • A. A. Akinshin
    • 1
  • V. P. Golubyatnikov
    • 2
  • I. V. Golubyatnikov
    • 2
  1. 1.Polzunov Altay State Technical UniversityBarnaulRussia
  2. 2.Sobolev Institute of MathematicsNovosibirskRussia