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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2022, Volume 25, Number 3, Pages 227–240
DOI: https://doi.org/10.15372/SJNM20220301 (Mi sjvm807) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On one numerical model of a circadian oscillator

A. A. Akinshina, N. B. Ayupovab, V. P. Golubyatnikovb, N. E. Kirillovab, O. A. Podkolodnayac, N. L. Podkolodnyicd

a JetBrains, просп. Приморский, 70, строение 1, Санкт-Петербург, 197183
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
c Institute of Cytology and Genetics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
d Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.15372/SJNM20220301
Abstract: For a model of circadian oscilator represented in the form of 6-dimensional nonlinear dynamical system, conditions of uniqueness of an equilibrium point, and conditions of existence of a periodic trajectory (cycle) are established. One client-server application is elaborated in order to fulfill numerical experiments with this model on a cloud server, and to visualize results of these experiments.
Key words: nonlinear dynamical system, phase portrait, hyperbolic equilibrium point, linearization matrix, periodic trajectory, cycle, mathematical model, circadian oscillator.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0009
FWNR-2022-0020
0259-2021-0004
Russian Foundation for Basic Research 20-31-90011
Received: 20.12.2021
Revised: 21.01.2022
Accepted: 24.04.2022
Document Type: Article
UDC: 517.938
Language: Russian
Citation: A. A. Akinshin, N. B. Ayupova, V. P. Golubyatnikov, N. E. Kirillova, O. A. Podkolodnaya, N. L. Podkolodnyi, “On one numerical model of a circadian oscillator”, Sib. Zh. Vychisl. Mat., 25:3 (2022), 227–240
Citation in format AMSBIB
\Bibitem{AkiAyuGol22}
\by A.~A.~Akinshin, N.~B.~Ayupova, V.~P.~Golubyatnikov, N.~E.~Kirillova, O.~A.~Podkolodnaya, N.~L.~Podkolodnyi
\paper On one numerical model of a circadian oscillator
\jour Sib. Zh. Vychisl. Mat.
\yr 2022
\vol 25
\issue 3
\pages 227--240
\mathnet{http://mi.mathnet.ru/sjvm807}
\crossref{https://doi.org/10.15372/SJNM20220301}
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    • This publication is cited in the following 1 articles:
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