V. P. Golubyatnikov, I. V. Golubyatnikov, “On multidimensional models of gene networks”, Sib. Zh. Ind. Mat., 2010, Volume 13, Number 3,Pages <nobr>13

This article is cited in 3 papers

On multidimensional models of gene networks

V. P. Golubyatnikov^ab, I. V. Golubyatnikov^ab

^a Sobolev Institute of Mathematics, SB RAS, Novosibirsk, RUSSIA
^b Novosibirsk State University, Novosibirsk, RUSSIA

Abstract: We obtain sufficient conditions for the existence of closed trajectories in the odd-dimensional nonlinear dynamical systems that model gene networks with negative feedback.

Keywords: gene networks, negative feedback, nonlinear dynamical systems, stationary points, periodic trajectories.

UDC: 514.745.82

Received: 27.10.2009