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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 11, Pages 2000–2016
(Mi zvmmf568)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf568 https://www.mathnet.ru/eng/zvmmf/v45/i11/p2000
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Abstract page: | 337 | Full-text PDF : | 137 | References: | 50 | First page: | 1 |
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