V. P. Golubyatnikov, I. V. Golubyatnikov, V. A. Likhoshvai, “On the existence and stability of cycles in five-dimensional models of gene networks”, Sib. Zh. Vychisl. Mat., 2010, Volume 13, Number 4,Pages <nobr>403

This article is cited in 17 papers

On the existence and stability of cycles in five-dimensional models of gene networks

V. P. Golubyatnikov^ab, I. V. Golubyatnikov^a, V. A. Likhoshvai^bc

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University, Novosibirsk
^c Institute of cytology and genetics Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We obtain sufficient conditions for the existence and stability of closed trajectories in five-dimensional nonlinear dynamical systems which model gene networks with negative feedbacks.

Key words: gene networks, nonlinear dynamical systems, stationary points, periodic trajectories.

UDC: 514.745.82

Received: 16.11.2009
Revised: 15.02.2010