TY - JOUR

T1 - Hidden attractors and nonlocal oscillations in gene networks models

AU - Golubyatnikov, Vladimir P.

AU - Ayupova, Natalia B.

AU - Bondarenko, Natalia E.

AU - Glubokikh, Alina V.

N1 - The study was supported by the Russian Science Foundation (grant No. 23-21-00019).

PY - 2024/4/1

Y1 - 2024/4/1

N2 - We study periodic trajectories of nonlinear dynamical systems considered as models of the simplest molecular repressilator. In the phase portraits of these systems, we find hidden attractors and nonlocal oscillations. The cases of nonuniqueness of cycles in these portraits are described as well.

AB - We study periodic trajectories of nonlinear dynamical systems considered as models of the simplest molecular repressilator. In the phase portraits of these systems, we find hidden attractors and nonlocal oscillations. The cases of nonuniqueness of cycles in these portraits are described as well.

KW - Phase portraits

KW - equilibrium points

KW - gene network models

KW - hidden attractors

KW - multi-step functions

KW - nonlocal oscillations

KW - periodic trajectories

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85190514987&origin=inward&txGid=b48b0b532757552d94d32ac6a4a69c0f

UR - https://www.mendeley.com/catalogue/90f777a7-8d78-3f47-aef6-53bf5ea375b1/

U2 - 10.1515/rnam-2024-0007

DO - 10.1515/rnam-2024-0007

M3 - Article

VL - 39

SP - 75

EP - 81

JO - Russian Journal of Numerical Analysis and Mathematical Modelling

JF - Russian Journal of Numerical Analysis and Mathematical Modelling

SN - 0927-6467

IS - 2

ER -