Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2014, Volume 10, Number 3, Pages 265–277 (Mi nd442)  
This article is cited in 6 scientific papers (total in 6 papers)

Hyperbolic chaos in systems with parametrically excited patterns of standing waves

Vyacheslav P. Kruglovab, Alexey S. Kuznetsova, Sergey P. Kuznetsovab

a Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch, Zelenaya 38, Saratov, 410019 Russia
b Saratov State University, Astrahanskaya 83, Saratov, 410012, Russia
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Abstract: We outline a possibility of implementation of Smale–Williams type attractors with different stretching factors for the angular coordinate, namely, $n = 3,5,7,9,11$, for the maps describing the evolution of parametrically excited standing wave patterns on a nonlinear string over a period of modulation of pump accompanying by alternate excitation of modes with the wavelength ratios of $1:n$.
Keywords: parametric oscillations, string, attractor, chaos, Lyapunov exponent.
Received: 05.09.2014
Revised: 18.09.2014
Document Type: Article
UDC: 517.9+534
MSC: 37D20, 37D45, 37L30, 37L45
Language: Russian
Citation: Vyacheslav P. Kruglov, Alexey S. Kuznetsov, Sergey P. Kuznetsov, “Hyperbolic chaos in systems with parametrically excited patterns of standing waves”, Nelin. Dinam., 10:3 (2014), 265–277
Citation in format AMSBIB
\Bibitem{KruKuzKuz14}
\by Vyacheslav~P.~Kruglov, Alexey~S.~Kuznetsov, Sergey~P.~Kuznetsov
\paper Hyperbolic chaos in systems with parametrically excited patterns of~standing waves
\jour Nelin. Dinam.
\yr 2014
\vol 10
\issue 3
\pages 265--277
\mathnet{http://mi.mathnet.ru/nd442}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Нелинейная динамика
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