The capture into parametric autoresonance
نویسندگان
چکیده
منابع مشابه
Parametric autoresonance in Faraday waves.
We develop a theory of parametric excitation of weakly nonlinear standing gravity waves in a tank, which is under vertical vibrations with a slowly time-dependent ("chirped") vibration frequency. We show that, by using a negative chirp, one can excite a steadily growing wave via parametric autoresonance. The method of averaging is employed to derive the governing equations for the primary mode....
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We investigate a system of two weakly coupled oscillators. It is shown that an external periodic perturbation can lead to the capture into resonance. Asymptotic description and numerical simulations are presented. We have obtained the explicit formula for the threshold value for the amplitude of the perturbation that leads to the autoresonance. Introduction A system of nonlinear oscillators is ...
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متن کاملAsymptotic analysis of a model of autoresonance
Autoresonance is a phase locking phenomenon occurring in nonlinear oscillatory system, which is forced by oscillating perturbation. Many physical applications of the autoresonance are known in nonlinear physics. The essence of the phenomenon is that the nonlinear oscillator selfadjusts to the varying external conditions so that it remains in resonance with the driver for a long time. This long ...
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ژورنال
عنوان ژورنال: Nonlinear Dynamics
سال: 2006
ISSN: 0924-090X,1573-269X
DOI: 10.1007/s11071-006-9084-2