N. B. Ayupova, V. P. Golubyatnikov, “On the uniqueness of a cycle in an asymmetric <nobr>$3$</nobr>-dimensional model of a molecular repressilator”, Sib. Zh. Ind. Mat., 2014, Volume 17, Number 1,Pages <nobr>3

This article is cited in 19 papers

On the uniqueness of a cycle in an asymmetric $3$-dimensional model of a molecular repressilator

N. B. Ayupova^ab, V. P. Golubyatnikov^ab

^a Sobolev Institute of Mathematics, 4 Koptyug av., 630090 Novosibirsk
^b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk

Abstract: We obtain sufficient conditions for the uniqueness of cycles in some nonlinear dynamical systems considered as models for the functioning of a molecular repressilator. A constructive method for the determination of the invariant surface containing this cycle is described as well.

Keywords: nonlinear dynamical system, phase portrait, invariant domain, molecular repressilator, cycle, projective transformation.

UDC: 514.745.82

Received: 18.11.2013