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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
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
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
Linking options:
https://www.mathnet.ru/eng/im336https://doi.org/10.1070/IM2001v065n03ABEH000336 https://www.mathnet.ru/eng/im/v65/i3/p67
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Abstract page: | 657 | Russian version PDF: | 240 | English version PDF: | 14 | References: | 78 | First page: | 3 |
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