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Izvestiya: Mathematics, 2006, Volume 70, Issue 6, Pages 1201–1224
DOI: https://doi.org/10.1070/IM2006v070n06ABEH002343 (Mi im608) 		 
Smoothing the discontinuous oscillations in the mathematical model of an oscillator with distributed parameters

A. Yu. Kolesova, N. Kh. Rozovb

a P. G. Demidov Yaroslavl State University
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (363 kB) Russian version article
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DOI: https://doi.org/10.1070/IM2006v070n06ABEH002343
Abstract: We suggest a method of smoothing the discontinuous oscillations in mathematical models of oscillators with a long line segment in the feedback circuit. We show that under certain conditions the buffer phenomenon is realized in the corresponding boundary-value problem, that is, this problem can have a finite number of stable cycles (time-periodic solutions) as large as desired.
Received: 10.03.2005
Revised: 19.06.2006
Bibliographic databases:
UDC: 517.926
MSC: 35B10, 35B25, 35B35, 35Q80, 35K50, 35K57, 35L75
Language: English
Original paper language: Russian
Citation: A. Yu. Kolesov, N. Kh. Rozov, “Smoothing the discontinuous oscillations in the mathematical model of an oscillator with distributed parameters”, Izv. Math., 70:6 (2006), 1201–1224
Citation in format AMSBIB
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\by A.~Yu.~Kolesov, N.~Kh.~Rozov
\paper Smoothing the discontinuous~oscillations in the mathematical model of an oscillator with distributed parameters
\jour Izv. Math.
\yr 2006
\vol 70
\issue 6
\pages 1201--1224
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\crossref{https://doi.org/10.1070/IM2006v070n06ABEH002343}
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  • https://www.mathnet.ru/eng/im/v70/i6/p129
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:558
    Russian version PDF:255
    English version PDF:28
    References:96
    First page:8
     
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