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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2013, Volume 9, Number 1, Pages 3–10
(Mi nd365)
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This article is cited in 7 scientific papers (total in 7 papers)
Hyperbolic chaos in parametric oscillations of a string
Olga B. Isaevaab, Alexey S. Kuznetsovb, Sergey P. Kuznetsovab a Saratov Branch of Kotelnikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov, Russia
b Saratov State University, Saratov, Russia
Abstract:
We outline a possibility of chaotic dynamics associated with a hyperbolic attractor of the Smale–Williams type in mechanical vibrations of a nonhomogeneous string with nonlinear dissipation arising due to parametric excitation of modes at the frequencies $\omega$ and $3\omega$, when the pump is supplied by means of the string tension variations alternately at frequencies of $2\omega$ and $6\omega$.
Keywords:
parametric oscillations, string, attractor, chaos, Lyapunov exponent.
Received: 10.01.2013 Revised: 27.02.2013
Citation:
Olga B. Isaeva, Alexey S. Kuznetsov, Sergey P. Kuznetsov, “Hyperbolic chaos in parametric oscillations of a string”, Nelin. Dinam., 9:1 (2013), 3–10
Linking options:
https://www.mathnet.ru/eng/nd365 https://www.mathnet.ru/eng/nd/v9/i1/p3
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Abstract page: | 407 | Full-text PDF : | 130 | References: | 61 | First page: | 1 |
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