Geodesic
Hyperbolic chaos in systems with parametrically excited patterns of~standing waves
Russian journal of nonlinear dynamics, Tome 10 (2014) no. 3, pp. 265-277

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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, Lyapunov exponent.
Mots-clés : chaos 
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     title = {Hyperbolic chaos in systems with parametrically excited patterns of~standing waves},
     journal = {Russian journal of nonlinear dynamics},
     pages = {265--277},
     publisher = {mathdoc},
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     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2014_10_3_a1/}
}
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Vyacheslav P. Kruglov; Alexey S. Kuznetsov; Sergey P. Kuznetsov. Hyperbolic chaos in systems with parametrically excited patterns of~standing waves. Russian journal of nonlinear dynamics, Tome 10 (2014) no. 3, pp. 265-277. http://geodesic.mathdoc.fr/item/ND_2014_10_3_a1/