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Mathematics of the USSR-Sbornik, 1990, Volume 65, Issue 1, Pages 1–17
DOI: https://doi.org/10.1070/SM1990v065n01ABEH001928 (Mi sm1763) 		 
This article is cited in 7 scientific papers (total in 8 papers)

Asymptotics of relaxation oscilations

A. Yu. Kolesov, E. F. Mishchenko
English version PDF (737 kB) Citations (8)
References:
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DOI: https://doi.org/10.1070/SM1990v065n01ABEH001928
Abstract: A complete asymptotics of relaxation oscillations in $R^n$ is constructed. The process is divided into two steps: the construction of the asymptotics of the integral manifold of the system under consideration and the asymptotic integration of the equation in this manifold, with regular dependence on the small parameter. Together with the previously solved stability problem this completes the study of all the main questions connected with the asymptotics of a multidimensional relaxation cycle.
Bibliography: 8 titles.
Received: 21.03.1988
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1988, Volume 137(179), Number 1(9), Pages 3–18
Bibliographic databases:
Document Type: Article
UDC: 517.926
MSC: Primary 34C45, 34E15; Secondary 34C25, 34C30
Language: English
Original paper language: Russian
Citation: A. Yu. Kolesov, E. F. Mishchenko, “Asymptotics of relaxation oscilations”, Mat. Sb. (N.S.), 137(179):1(9) (1988), 3–18; Math. USSR-Sb., 65:1 (1990), 1–17
Citation in format AMSBIB
\Bibitem{KolMis88}
\by A.~Yu.~Kolesov, E.~F.~Mishchenko
\paper Asymptotics of relaxation oscilations
\jour Mat. Sb. (N.S.)
\yr 1988
\vol 137(179)
\issue 1(9)
\pages 3--18
\mathnet{http://mi.mathnet.ru/sm1763}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=965877}
\zmath{https://zbmath.org/?q=an:0703.34046}
\transl
\jour Math. USSR-Sb.
\yr 1990
\vol 65
\issue 1
\pages 1--17
\crossref{https://doi.org/10.1070/SM1990v065n01ABEH001928}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Statistics & downloads:
    Abstract page:379
    Russian version PDF:104
    English version PDF:11
    References:45
    First page:2
     
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