Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik SamU. Estestvenno-Nauchnaya Ser.:
Year:
Volume:
Issue:
Page:
Find






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


Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2023, Volume 29, Issue 3, Pages 57–63
DOI: https://doi.org/10.18287/2541-7525-2023-29-3-57-63
(Mi vsgu711)
 

Mathematics

Application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrate

M. A. Smetannikov

Samara National Research University, Samara, Russian Federation (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: The purpose of this work is to reduce the singularly perturbed system of kinetics of a suicidal substrate. Methods of decomposition and integral manifolds are used. The dimension of the original problem is reduced. The obtained equations on the integral manifold are analyzed for stability. An example is given of comparing the numerical solutions of the original system and those obtained after reducing the dimensionality using the above methods.
Keywords: differential equations, decomposition method, integral manifolds, cooperative phenomenon, enzyme kinetics, suicide substrate.
Received: 14.07.2023
Revised: 21.08.2023
Accepted: 30.10.2023
Document Type: Article
UDC: 517.928
Language: Russian
Citation: M. A. Smetannikov, “Application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrate”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 29:3 (2023), 57–63
Citation in format AMSBIB
\Bibitem{Sme23}
\by M.~A.~Smetannikov
\paper Application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrate
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2023
\vol 29
\issue 3
\pages 57--63
\mathnet{http://mi.mathnet.ru/vsgu711}
\crossref{https://doi.org/10.18287/2541-7525-2023-29-3-57-63}
Linking options:
  • https://www.mathnet.ru/eng/vsgu711
  • https://www.mathnet.ru/eng/vsgu/v29/i3/p57
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Самарского государственного университета. Естественнонаучная серия
    Statistics & downloads:
    Abstract page:37
    Full-text PDF :19
    References:15
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024