A. A. Akinshin, V. P. Golubyatnikov, I. V. Golubyatnikov, “On some many-dimensional models of the functioning of gene networks”, Sib. Zh. Ind. Mat., 2013, Volume 16, Number 1,Pages <nobr>3

This article is cited in 11 papers

On some many-dimensional models of the functioning of gene networks

A. A. Akinshin^a, V. P. Golubyatnikov^b, I. V. Golubyatnikov^b

^a Polzunov Altay State Technical University, Barnaul, Russia
^b Sobolev Institute of Mathematics of the SDRAS, Novosibirsk, Russia

Abstract: We obtain a sufficient condition for the nonuniqueness of cycles in some nonlinear dynamical systems considered as models of the functioning of gene networks. Some constructive methods of determination of these cycles and invariant surfaces containing these cycles are described as well.

Keywords: nonlinear dynamical systems, gene networks models, phase portraits, invariant domains, stationary points, cycles.

UDC: 514.745.82

Received: 21.01.2013