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Izvestiya: Mathematics, 2001, Volume 65, Issue 3, Pages 485–501
DOI: https://doi.org/10.1070/IM2001v065n03ABEH000336 (Mi im336) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The buffer phenomenon in a mathematical model of the van der Pol self-oscillator with distributed parameters

A. Yu. Kolesova, N. Kh. Rozovb

a P. G. Demidov Yaroslavl State University
b M. V. Lomonosov Moscow State University
English version PDF (207 kB) Citations (6)
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DOI: https://doi.org/10.1070/IM2001v065n03ABEH000336
Abstract: We establish that a mathematical model of the distributed van der Pol self-oscillator, which is a non-linear boundary-value problem of hyperbolic type, exhibits the buffer phenomenon, which means that the system can have any given number of stable cycles if its parameters are properly chosen.
Received: 26.04.2000
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2001, Volume 65, Issue 3, Pages 67–84
DOI: https://doi.org/10.4213/im336
Bibliographic databases:
MSC: 35K50, 35B25, 35B10, 35C20
Language: English
Original paper language: Russian
Citation: A. Yu. Kolesov, N. Kh. Rozov, “The buffer phenomenon in a mathematical model of the van der Pol self-oscillator with distributed parameters”, Izv. RAN. Ser. Mat., 65:3 (2001), 67–84; Izv. Math., 65:3 (2001), 485–501
Citation in format AMSBIB
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\by A.~Yu.~Kolesov, N.~Kh.~Rozov
\paper The buffer phenomenon in a~mathematical model of the van der Pol self-oscillator with distributed parameters
\jour Izv. RAN. Ser. Mat.
\yr 2001
\vol 65
\issue 3
\pages 67--84
\mathnet{http://mi.mathnet.ru/im336}
\crossref{https://doi.org/10.4213/im336}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1853366}
\zmath{https://zbmath.org/?q=an:0994.35015}
\elib{https://elibrary.ru/item.asp?id=13859250}
\transl
\jour Izv. Math.
\yr 2001
\vol 65
\issue 3
\pages 485--501
\crossref{https://doi.org/10.1070/IM2001v065n03ABEH000336}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746830897}
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  • https://www.mathnet.ru/eng/im/v65/i3/p67
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:657
    Russian version PDF:240
    English version PDF:14
    References:78
    First page:3
     
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