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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 11, Pages 2000–2016 (Mi zvmmf568)  
This article is cited in 3 scientific papers (total in 3 papers)

The mechanism of hard excitation of self-oscillations in the case of the resonance 1:2

S. D. Glyzina, A. Yu. Kolesova, N. Kh. Rozovb

a Faculty of Mathematics, Yaroslavl State University, Sovetskaya ul. 14, Yaroslavl, 150000, Russia
b Faculty of Mechanics and Mathematics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
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Abstract: A method for modeling the hard excitation of self-oscillations in the case of the resonance 1:2 in a nonlocal situation using local methods is proposed. This makes it possible to reveal some characteristic features of the dynamic behavior. In particular, it is shown that, under certain conditions, the stable zero solution can coexist with a chaotic attractor.
Key words: oscillation problems, mathematical modeling, self-oscillations, chaotic attractor.
Received: 25.10.2004
Bibliographic databases:
Document Type: Article
UDC: 519.6:517.926
Language: Russian
Citation: S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The mechanism of hard excitation of self-oscillations in the case of the resonance 1:2”, Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005), 2000–2016; Comput. Math. Math. Phys., 45:11 (2005), 1923–1938
Citation in format AMSBIB
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\by S.~D.~Glyzin, A.~Yu.~Kolesov, N.~Kh.~Rozov
\paper The mechanism of hard excitation of self-oscillations in the case of the resonance 1:2
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 11
\pages 2000--2016
\mathnet{http://mi.mathnet.ru/zvmmf568}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2203224}
\zmath{https://zbmath.org/?q=an:1108.34036}
\elib{https://elibrary.ru/item.asp?id=9144792}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 11
\pages 1923--1938
\elib{https://elibrary.ru/item.asp?id=13493105}
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  • https://www.mathnet.ru/eng/zvmmf/v45/i11/p2000
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :140
    References:53
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