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Mathematics of the USSR-Sbornik, 1991, Volume 70, Issue 1, Pages 1–10
DOI: https://doi.org/10.1070/SM1991v070n01ABEH002117
(Mi sm1190)
 

This article is cited in 4 scientific papers (total in 5 papers)

The Pontryagin delay phenomenon and stable ducktrajectories for multidimensional relaxation systems with one slow variable

A. Yu. Kolesova, E. F. Mishchenkob

a P. G. Demidov Yaroslavl State University
b V. A. Steklov Mathematical Institute, USSR Academy of Sciences
References:
Abstract: It is assumed that the equilibrium state of the relaxation system
$$ \varepsilon\dot x=f(x,y), \qquad \dot y=g(x,y,\mu), $$
where $x\in R^n$ and $y\in R$, passes generically through a point of discontinuity as $\mu$ varies. Under this condition stable duck cycles and cycles arising in a neighborhood of the equilibrium state are constructed.
Received: 17.11.1989
Russian version:
Matematicheskii Sbornik, 1990, Volume 181, Number 5, Pages 579–588
Bibliographic databases:
Document Type: Article
UDC: 517.926
MSC: Primary 34D15, 34C25; Secondary 34C45, 34E05, 34C20
Language: English
Original paper language: Russian
Citation: A. Yu. Kolesov, E. F. Mishchenko, “The Pontryagin delay phenomenon and stable ducktrajectories for multidimensional relaxation systems with one slow variable”, Mat. Sb., 181:5 (1990), 579–588; Math. USSR-Sb., 70:1 (1991), 1–10
Citation in format AMSBIB
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\by A.~Yu.~Kolesov, E.~F.~Mishchenko
\paper The Pontryagin delay phenomenon and stable ducktrajectories for multidimensional relaxation systems with one slow variable
\jour Mat. Sb.
\yr 1990
\vol 181
\issue 5
\pages 579--588
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\transl
\jour Math. USSR-Sb.
\yr 1991
\vol 70
\issue 1
\pages 1--10
\crossref{https://doi.org/10.1070/SM1991v070n01ABEH002117}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991GG78300001}
Linking options:
  • https://www.mathnet.ru/eng/sm1190
  • https://doi.org/10.1070/SM1991v070n01ABEH002117
  • https://www.mathnet.ru/eng/sm/v181/i5/p579
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1989–1990 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:423
    Russian version PDF:101
    English version PDF:18
    References:61
    First page:3
     
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