Forced nonlinear resonance in a system of coupled oscillators.
نویسندگان
چکیده
We consider a resonantly perturbed system of coupled nonlinear oscillators with small dissipation and outer periodic perturbation. We show that for the large time t∼ɛ(-2) one component of the system is described for the most part by the inhomogeneous Mathieu equation while the other component represents pulsation of large amplitude. A Hamiltonian system is obtained which describes for the most part the behavior of the envelope in a special case. The analytic results agree with numerical simulations.
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عنوان ژورنال:
- Chaos
دوره 21 2 شماره
صفحات -
تاریخ انتشار 2011