TY - JOUR

T1 - On Nonlocal Oscillations in 3D Models of Circular Gene Networks

AU - Glubokikh, A. V.

AU - Golubyatnikov, V. P.

N1 - The work was carried out within the framework of state assignments for the Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, project no. FWNF-2022-0009.

PY - 2024/6

Y1 - 2024/6

N2 - We construct three-dimensional dynamical systems with block-linear discontinuousright-hand side that simulate the simplest molecular oscillators. The phase portrait of each ofthese systems contains a unique equilibrium point and a cycle lying in the complement of thebasin of attraction of this point. There are no other equilibrium points in these phase portraits.

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

KW - circular gene network model

KW - equilibrium point

KW - invariant domain

KW - nonlocal oscillation

KW - periodic trajectory

KW - phase portrait of nonlinear dynamical system

KW - step function

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85201373706&origin=inward&txGid=5944edeb83b3ebca0ae5f1c5589468bd

UR - https://elibrary.ru/item.asp?id=68611702

UR - https://www.mendeley.com/catalogue/f5f78f8a-f64f-3f64-8c5d-51a13d2f4dff/

U2 - 10.1134/S1990478924020078

DO - 10.1134/S1990478924020078

M3 - Article

VL - 18

SP - 246

EP - 252

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 2

M1 - 7

ER -