Hyperbolic chaos in systems with parametrically excited patterns of~standing waves

Vyacheslav P. Kruglov ; Alexey S. Kuznetsov ; Sergey P. Kuznetsov

Russian journal of nonlinear dynamics, Tome 10 (2014) no. 3, pp. 265-277.

Résumé

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 $1:n$.

Détail

Keywords: parametric oscillations, string, attractor, Lyapunov exponent.
Mots-clés : chaos

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