Sibirskii Zhurnal Industrial'noi Matematiki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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 2 scientific papers (total in 2 papers)

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
Full-text PDF (678 kB) Citations (2)
References:
PDF
HTML
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
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).
Received: 30.08.2021
Revised: 30.08.2021
Accepted: 21.10.2021
English version:
Journal of Applied and Industrial Mathematics, 2021, Volume 15, Issue 4, Pages 597–608
DOI: https://doi.org/10.1134/S1990478921040037
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; J. Appl. Industr. Math., 15:4 (2021), 597–608
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}
\transl
\jour J. Appl. Industr. Math.
\yr 2021
\vol 15
\issue 4
\pages 597--608
\crossref{https://doi.org/10.1134/S1990478921040037}
Linking options:
  • https://www.mathnet.ru/eng/sjim1150
  • https://www.mathnet.ru/eng/sjim/v24/i4/p39
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025