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Sibirskii Zhurnal Industrial'noi Matematiki, 2021, Volume 24, Number 4, Pages 39–53
DOI: https://doi.org/10.33048/SIBJIM.2021.24.403 (Mi sjim1150) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Conditions of existence of cycles in two basic models of circadian oscillator of Mammalians

V. P. Golubyatnikovab, O. A. Podkolodnayac, N. L. Podkolodnyicd, N. B. Ayupovaab, N. E. Kirillovaa, E. V. Yunoshevab

a Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia
c Institute of Cytology and Genetics SB RAS, pr. Acad. Koptyuga 2, Novosibirsk 630090, Russia
d Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Acad. Lavrentyeva 6, Novosibirsk 630090, Russia
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DOI: https://doi.org/10.33048/SIBJIM.2021.24.403
Abstract: We construct two non-linear dynamcal systems as models of symplest circadian oscillator's functioning. Conditions of uniqueness of equilibrium point of these systems are described as well as conditions of existence of cycles in their phase portraits.
Keywords: circadian oscillator, gene network, mathematical model, non-linear dynamical systems, positive and negative feedbacks, hyperbolic equilibrium point, phase portrait, cycle. .
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0259-2021-0009
0251-2021-0004
0314-2019-0011
Russian Foundation for Basic Research 20-31-90011
Received: 30.08.2021
Revised: 30.08.2021
Accepted: 21.10.2021
Document Type: Article
UDC: УДК 517.938
Language: Russian
Citation: V. P. Golubyatnikov, O. A. Podkolodnaya, N. L. Podkolodnyi, N. B. Ayupova, N. E. Kirillova, E. V. Yunosheva, “Conditions of existence of cycles in two basic models of circadian oscillator of Mammalians”, Sib. Zh. Ind. Mat., 24:4 (2021), 39–53
Citation in format AMSBIB
\Bibitem{GolPodPod21}
\by V.~P.~Golubyatnikov, O.~A.~Podkolodnaya, N.~L.~Podkolodnyi, N.~B.~Ayupova, N.~E.~Kirillova, E.~V.~Yunosheva
\paper Conditions of existence of cycles in two basic models of circadian oscillator of Mammalians
\jour Sib. Zh. Ind. Mat.
\yr 2021
\vol 24
\issue 4
\pages 39--53
\mathnet{http://mi.mathnet.ru/sjim1150}
\crossref{https://doi.org/10.33048/SIBJIM.2021.24.403}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский журнал индустриальной математики
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