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Parametric Resonance

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Book cover Nonlinear Resonances

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Abstract

In a weakly nonlinear oscillator driven by an external periodic force, the response is generally amplified near the natural frequency of the system and the response at all other frequencies far away from the natural frequency is very weak. A different kind of resonance and response of an oscillator occurs when one or more of its parameters vary periodically in time. When the parameter of an oscillator varies with time, then the oscillator is called a parametric oscillator or a parametrically driven oscillator. An example is the pendulum whose support oscillates vertically with an angular frequency ω and a forcing amplitude F (Fig. 10.1).

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Authors and Affiliations

  1. School of Physics, Bharathidasan University, Tiruchirappalli, Tamil Nadu, India

    Shanmuganathan Rajasekar

  2. Department of Physics, Universidad Rey Juan Carlos, Móstoles, Madrid, Spain

    Miguel A. F. Sanjuan

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  1. Shanmuganathan Rajasekar
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Rajasekar, S., Sanjuan, M.A.F. (2016). Parametric Resonance. In: Nonlinear Resonances. Springer Series in Synergetics. Springer, Cham. https://doi.org/10.1007/978-3-319-24886-8_10

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