V. P. Golubyatnikov, V. V. Ivanov, L. S. Minushkina, “On existence of a cycle in one asymmetric gene network model”, Sib. J. Pure and Appl. Math., 2018, Volume 18, Issue 3,Pages <nobr>27

This article is cited in 7 papers

On existence of a cycle in one asymmetric gene network model

V. P. Golubyatnikov^ab, V. V. Ivanov^a, L. S. Minushkina^b

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

Abstract: We find necessary and sufficient conditions of existence of a cycle in one nonlinear dynamical system considered as a gene network model.

Keywords: dynamical systems, cycles, Poincare mapping, fixed point theorem.

UDC: 514.745.82

Received: 09.04.2018

DOI: 10.33048/pam.2018.18.303