V. V. Ivanov, “An attracting limit cycle of an odd-dimensional circular gene network model”, Sib. Zh. Ind. Mat., 2022, Volume 25, Number 3,Pages <nobr>25

This article is cited in 9 papers

An attracting limit cycle of an odd-dimensional circular gene network model

V. V. Ivanov

Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia

Abstract: For an odd-dimensional autonomous system which simulates functioning of a circular gene network regulated by negative feedbacks only, we construct an invariant domain homeomorphic to torus. This domain contains a limit cycle of this system, and trajectories of all its points are attracted by this cycle.

Keywords: circular gene network model, negative feedbacks, invariant torus, Poincaré mapping, fixed point, limit cycle.

UDC: 514.745.82

Received: 01.04.2021
Revised: 01.04.2021
Accepted: 22.06.2022

DOI: 10.33048/SIBJIM.2021.25.303