Research output: Contribution to journal › Article › peer-review
On Conditions for the Existence of Cycles in Two Models of a Circadian Oscillator of Mammals. / Golubyatnikov, V. P.; Podkolodnaya, O. A.; Podkolodnyy, N. L. et al.
In: Journal of Applied and Industrial Mathematics, Vol. 15, No. 4, 11.2021, p. 597-608.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - On Conditions for the Existence of Cycles in Two Models of a Circadian Oscillator of Mammals
AU - Golubyatnikov, V. P.
AU - Podkolodnaya, O. A.
AU - Podkolodnyy, N. L.
AU - Ayupova, N. B.
AU - Kirillova, N. E.
AU - Yunosheva, E. V.
N1 - Funding Information: The authors were supported within the framework of the State Contract of Institute of Cytology and Genetics (project no. FWNR–2022–0020), the State Contract of Institute of Computational Mathematics and Mathematical Geophysics (project no. 0251–2021–0004), the State Contract of Sobolev Institute of Mathematics (project no. FWNF–2022–0009), and partially by the Russian Foundation for Basic Research (project no. 20–31–90011). Publisher Copyright: © 2021, Pleiades Publishing, Ltd.
PY - 2021/11
Y1 - 2021/11
N2 - We construct two nonlinear dynamical systems of the functioning simplest circadianoscillator. Some conditions of the uniqueness of the equilibrium point of these systems aredescribed as well as the conditions for the existence of cycles in their phase portraits.
AB - We construct two nonlinear dynamical systems of the functioning simplest circadianoscillator. Some conditions of the uniqueness of the equilibrium point of these systems aredescribed as well as the conditions for the existence of cycles in their phase portraits.
KW - circadian oscillator
KW - gene network
KW - hyperbolic equilibrium point
KW - limit cycle
KW - mathematical model
KW - nonlinear dynamical system
KW - phase portrait
KW - positive and negative feedback
UR - http://www.scopus.com/inward/record.url?scp=85133968780&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/6101768f-b2bf-31a1-914d-98406f7e223c/
U2 - 10.1134/S1990478921040037
DO - 10.1134/S1990478921040037
M3 - Article
AN - SCOPUS:85133968780
VL - 15
SP - 597
EP - 608
JO - Journal of Applied and Industrial Mathematics
JF - Journal of Applied and Industrial Mathematics
SN - 1990-4789
IS - 4
ER -
ID: 36686767