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Russian Academy of Sciences. Sbornik. Mathematics, 1993, Volume 76, Issue 2, Pages 507–522
DOI: https://doi.org/10.1070/SM1993v076n02ABEH003424 (Mi sm1066) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Relaxation cycles in systems with delay

A. Yu. Kolesov, Yu. S. Kolesov
English version PDF (827 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM1993v076n02ABEH003424
Abstract: Various examples of differential-difference equations encountered in applications show a rich variety of relaxation properties which, being important exceptions, do not permit the construction of a general theory. The authors study and give a new interpretation of a relaxation system which is typical from many points of view and which has been well known in the theory of quantum oscillators for 60 years. Two theorems on the existence of relaxation cycles are proved, and then a study of their stability properties is prepared, as usual, by constructing the asymptotics of the relaxation oscillations.
Received: 15.05.1991
Russian version:
Matematicheskii Sbornik, 1992, Volume 183, Number 8, Pages 141–159
Bibliographic databases:
UDC: 517.929
MSC: Primary 34E05; Secondary 34C25, 34E10
Language: English
Original paper language: Russian
Citation: A. Yu. Kolesov, Yu. S. Kolesov, “Relaxation cycles in systems with delay”, Mat. Sb., 183:8 (1992), 141–159; Russian Acad. Sci. Sb. Math., 76:2 (1993), 507–522
Citation in format AMSBIB
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\by A.~Yu.~Kolesov, Yu.~S.~Kolesov
\paper Relaxation cycles in systems with delay
\jour Mat. Sb.
\yr 1992
\vol 183
\issue 8
\pages 141--159
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1187252}
\zmath{https://zbmath.org/?q=an:0791.34055|0766.34044}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1993
\vol 76
\issue 2
\pages 507--522
\crossref{https://doi.org/10.1070/SM1993v076n02ABEH003424}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MK59600013}
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  • https://doi.org/10.1070/SM1993v076n02ABEH003424
  • https://www.mathnet.ru/eng/sm/v183/i8/p141
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:333
    Russian version PDF:130
    English version PDF:15
    References:52
    First page:1
     
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