Hyperbolic chaos in parametric oscillations of a string
2013, Vol. 9, No. 1, pp. 3-10
Author(s): Isaeva O. B., Kuznetsov A. S., Kuznetsov S. P.
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 $6\omega$.
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