Hyperbolic chaos in systems with parametrically excited patterns of standing waves
2014, Vol. 10, No. 3, pp. 265-277
Author(s): Kuznetsov S. P., Kuznetsov A. S., Kruglov V. P.
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 $1:n$.
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