Standard

On Nonlocal Oscillations in 3D Models of Circular Gene Networks. / Glubokikh, A. V.; Golubyatnikov, V. P.

в: Journal of Applied and Industrial Mathematics, Том 18, № 2, 7, 06.2024, стр. 246-252.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

Harvard

Glubokikh, AV & Golubyatnikov, VP 2024, 'On Nonlocal Oscillations in 3D Models of Circular Gene Networks', Journal of Applied and Industrial Mathematics, Том. 18, № 2, 7, стр. 246-252. https://doi.org/10.1134/S1990478924020078

APA

Glubokikh, A. V., & Golubyatnikov, V. P. (2024). On Nonlocal Oscillations in 3D Models of Circular Gene Networks. Journal of Applied and Industrial Mathematics, 18(2), 246-252. [7]. https://doi.org/10.1134/S1990478924020078

Vancouver

Glubokikh AV, Golubyatnikov VP. On Nonlocal Oscillations in 3D Models of Circular Gene Networks. Journal of Applied and Industrial Mathematics. 2024 июнь;18(2):246-252. 7. doi: 10.1134/S1990478924020078

Author

Glubokikh, A. V. ; Golubyatnikov, V. P. / On Nonlocal Oscillations in 3D Models of Circular Gene Networks. в: Journal of Applied and Industrial Mathematics. 2024 ; Том 18, № 2. стр. 246-252.

BibTeX

@article{96b82e8d72114746b26dfd36d21159e0,
title = "On Nonlocal Oscillations in 3D Models of Circular Gene Networks",
abstract = "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.",
keywords = "circular gene network model, equilibrium point, invariant domain, nonlocal oscillation, periodic trajectory, phase portrait of nonlinear dynamical system, step function",
author = "Glubokikh, {A. V.} and Golubyatnikov, {V. P.}",
note = "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.",
year = "2024",
month = jun,
doi = "10.1134/S1990478924020078",
language = "English",
volume = "18",
pages = "246--252",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "2",

}

RIS

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 -

ID: 60747880