Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2000, Volume 191, Issue 4, Pages 567–581
DOI: https://doi.org/10.1070/sm2000v191n04ABEH000472 (Mi sm472) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Non-classical relaxation cycle of a three-dimensional system of Lotka–Volterra equations

Yu. S. Kolesov

P. G. Demidov Yaroslavl State University
English version PDF (166 kB) Citations (3) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/sm2000v191n04ABEH000472
Abstract: A mathematical model of the well-known Belousov's reaction is the object of study. It is reasonable to assume that one coefficient in the corresponding system of differential equations is large, while the other parameters are finite. Non-standard tools taking account of the peculiarities of the problem bring one to a theorem on the existence of a relaxation cycle, allowing at the same time to reveal its characteristic features.
Received: 20.11.1998 and 29.06.1999
Bibliographic databases:
UDC: 517.9+541.128.7
MSC: Primary 34C05, 92E20; Secondary 34D99
Language: English
Original paper language: Russian
Citation: Yu. S. Kolesov, “Non-classical relaxation cycle of a three-dimensional system of Lotka–Volterra equations”, Sb. Math., 191:4 (2000), 567–581
Citation in format AMSBIB
\Bibitem{Kol00}
\by Yu.~S.~Kolesov
\paper Non-classical relaxation cycle of a~three-dimensional system of Lotka--Volterra equations
\jour Sb. Math.
\yr 2000
\vol 191
\issue 4
\pages 567--581
\mathnet{http://mi.mathnet.ru/eng/sm472}
\crossref{https://doi.org/10.1070/sm2000v191n04ABEH000472}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1775044}
\zmath{https://zbmath.org/?q=an:0963.34028}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000088115700014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0034338867}
Linking options:
  • https://www.mathnet.ru/eng/sm472
  • https://doi.org/10.1070/sm2000v191n04ABEH000472
  • https://www.mathnet.ru/eng/sm/v191/i4/p91
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:538
    Russian version PDF:251
    English version PDF:34
    References:79
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025