Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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 изданиях › статья › Рецензирование
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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