On Nonlocal Oscillations in 3D Modelsof Circular Gene Networks

On Nonlocal Oscillations in 3D Modelsof Circular Gene Networks Full article

Journal

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797

Output data

Year: 2024, Volume: 18, Number: 2, Pages: 246-252 Pages count : 7 DOI: 10.1134/S1990478924020078

Tags

circular gene network model, phase portrait of nonlinear dynamical system, equilibrium point, invariant domain, step function, periodic trajectory, nonlocal oscillation

Authors

Glubokikh A.V. ² , Golubyatnikov V.P. ¹

Affiliations

1	Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
2	Novosibirsk State University, Novosibirsk, 630090 Russia

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0009

We construct three-dimensional dynamical systems with piecewise block-linear discontinuous right-hand side that simulate the simplest molecular oscillators. The phase portrait of each of these systems contains a unique equilibrium point and a cycle lying in the complement of the basin of attraction of this point. There are no other equilibrium points in these phase portraits.

Glubokikh A.V. , Golubyatnikov V.P.
On Nonlocal Oscillations in 3D Modelsof Circular Gene Networks
Journal of Applied and Industrial Mathematics. 2024. V.18. N2. P.246-252. DOI: 10.1134/S1990478924020078 Scopus РИНЦ OpenAlex

Глубоких А.В. , Голубятников В.П.
О нелокальных осцилляциях в трёхмерных моделях кольцевых генных сетей
Сибирский журнал индустриальной математики. 2024. Т.27. №2. С.34-42. DOI: 10.33048/SIBJIM.2024.27.203 РИНЦ

Submitted:	Dec 1, 2023
Accepted:	Apr 17, 2024
Published print:	Jun 18, 2024
Published online:	Aug 15, 2024

Scopus:	2-s2.0-85201373706
Elibrary:	68611702
OpenAlex:	W4401604053

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