Loading [MathJax]/jax/output/SVG/config.js
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, 2024, Volume 27, Number 2, Pages 34–42
DOI: https://doi.org/10.33048/SIBJIM.2024.27.203 (Mi sjim1279) 		 
On nonlocal oscillations in 3D models of circular gene networks

A. V. Glubokikha, V. P. Golubyatnikovb

a Novosibirsk State University, Novosibirsk, 630090 Russia
b Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
Full-text PDF (512 kB) First page
References:
PDF
HTML
DOI: https://doi.org/10.33048/SIBJIM.2024.27.203
Abstract: We construct three-dimensional dynamical systems with piecewise block-linear discontinuous right-hand side that simulate the simplest molecular oscillators. The phase portrait of each of these systems contains a unique equilibrium point and a cycle lying in the complement of the basin of attraction of this point. There are no other equilibrium points in these phase portraits.
Keywords: circular gene network model, phase portrait of nonlinear dynamical system, equilibrium point, invariant domain, step function, periodic trajectory, nonlocal oscillation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0009
Received: 01.12.2023
Revised: 11.03.2024
Accepted: 17.04.2024
English version:
Journal of Applied and Industrial Mathematics, 2024, Volume 18, Issue 2, Pages 246–252
DOI: https://doi.org/10.1134/S1990478924020078
Document Type: Article
UDC: 517.938
Language: Russian
Citation: A. V. Glubokikh, V. P. Golubyatnikov, “On nonlocal oscillations in 3D models of circular gene networks”, Sib. Zh. Ind. Mat., 27:2 (2024), 34–42; J. Appl. Industr. Math., 18:2 (2024), 246–252
Citation in format AMSBIB
\Bibitem{GluGol24}
\by A.~V.~Glubokikh, V.~P.~Golubyatnikov
\paper On nonlocal oscillations in 3D models of circular gene networks
\jour Sib. Zh. Ind. Mat.
\yr 2024
\vol 27
\issue 2
\pages 34--42
\mathnet{http://mi.mathnet.ru/sjim1279}
\crossref{https://doi.org/10.33048/SIBJIM.2024.27.203}
\transl
\jour J. Appl. Industr. Math.
\yr 2024
\vol 18
\issue 2
\pages 246--252
\crossref{https://doi.org/10.1134/S1990478924020078}
Linking options:
  • https://www.mathnet.ru/eng/sjim1279
  • https://www.mathnet.ru/eng/sjim/v27/i2/p34
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
    Statistics & downloads:
    Abstract page:71
    Full-text PDF :3
    References:14
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025