Standard

Hidden attractors and nonlocal oscillations in gene networks models. / Golubyatnikov, Vladimir P.; Ayupova, Natalia B.; Bondarenko, Natalia E. et al.

In: Russian Journal of Numerical Analysis and Mathematical Modelling, Vol. 39, No. 2, 01.04.2024, p. 75-81.

Research output: Contribution to journal › Article › peer-review

Harvard

Golubyatnikov, VP, Ayupova, NB, Bondarenko, NE & Glubokikh, AV 2024, 'Hidden attractors and nonlocal oscillations in gene networks models', Russian Journal of Numerical Analysis and Mathematical Modelling, vol. 39, no. 2, pp. 75-81. https://doi.org/10.1515/rnam-2024-0007

APA

Golubyatnikov, V. P., Ayupova, N. B., Bondarenko, N. E., & Glubokikh, A. V. (2024). Hidden attractors and nonlocal oscillations in gene networks models. Russian Journal of Numerical Analysis and Mathematical Modelling, 39(2), 75-81. https://doi.org/10.1515/rnam-2024-0007

Vancouver

Golubyatnikov VP, Ayupova NB, Bondarenko NE, Glubokikh AV. Hidden attractors and nonlocal oscillations in gene networks models. Russian Journal of Numerical Analysis and Mathematical Modelling. 2024 Apr 1;39(2):75-81. doi: 10.1515/rnam-2024-0007

Author

Golubyatnikov, Vladimir P. ; Ayupova, Natalia B. ; Bondarenko, Natalia E. et al. / Hidden attractors and nonlocal oscillations in gene networks models. In: Russian Journal of Numerical Analysis and Mathematical Modelling. 2024 ; Vol. 39, No. 2. pp. 75-81.

BibTeX

@article{848638e0536d4f79b5448431e037c9d1,
title = "Hidden attractors and nonlocal oscillations in gene networks models",
abstract = "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.",
keywords = "Phase portraits, equilibrium points, gene network models, hidden attractors, multi-step functions, nonlocal oscillations, periodic trajectories",
author = "Golubyatnikov, {Vladimir P.} and Ayupova, {Natalia B.} and Bondarenko, {Natalia E.} and Glubokikh, {Alina V.}",
note = "The study was supported by the Russian Science Foundation (grant No. 23-21-00019).",
year = "2024",
month = apr,
day = "1",
doi = "10.1515/rnam-2024-0007",
language = "English",
volume = "39",
pages = "75--81",
journal = "Russian Journal of Numerical Analysis and Mathematical Modelling",
issn = "0927-6467",
publisher = "Walter de Gruyter GmbH",
number = "2",

}

RIS

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 -

ID: 61072103