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Sibirskii Zhurnal Industrial'noi Matematiki, 2005, Volume 8, Number 3, Pages 87–92 (Mi sjim292)  

This article is cited in 2 scientific papers (total in 2 papers)

Conditions for existence of relaxation oscillations in singular systems of low dimension

L. I. Kononenko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (215 kB) Citations (2)
References:
Abstract: Relaxation oscillations are studied in a singularly perturbed system of ordinary differential equations with $m$ slow and $n$ fast variables for the case of $m=2$ and $n=1$. Necessary conditions and sufficient conditions for existence of relaxation oscillations are given.
Received: 21.02.2005
English version:
Journal of Applied and Industrial Mathematics, 2007, Volume 1, Issue 1, Pages 45–49
DOI: https://doi.org/10.1134/S199047890701005X
Bibliographic databases:
UDC: 541.124:541.126:517.9
Language: Russian
Citation: L. I. Kononenko, “Conditions for existence of relaxation oscillations in singular systems of low dimension”, Sib. Zh. Ind. Mat., 8:3 (2005), 87–92; J. Appl. Industr. Math., 1:1 (2007), 45–49
Citation in format AMSBIB
\Bibitem{Kon05}
\by L.~I.~Kononenko
\paper Conditions for existence of relaxation oscillations in singular systems of low dimension
\jour Sib. Zh. Ind. Mat.
\yr 2005
\vol 8
\issue 3
\pages 87--92
\mathnet{http://mi.mathnet.ru/sjim292}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2221644}
\zmath{https://zbmath.org/?q=an:1108.34320}
\elib{https://elibrary.ru/item.asp?id=13546435}
\transl
\jour J. Appl. Industr. Math.
\yr 2007
\vol 1
\issue 1
\pages 45--49
\crossref{https://doi.org/10.1134/S199047890701005X}
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  • 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
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    References:61
     
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