Abstract
Abstract The nonlinear series-resonance circuit with ferroelectric capacitor is a practical realization of a nonlinear dynamical system which exhibits period-doubling behaviour if the amplitude and the frequency of the driving voltage have suitable values. This effect is closely related to the nonlinear dielectric properties of the ferroelectric material during polarization reversal. It may be observed if the amplitude of the driving voltage is in the order of magnitude of the coercive field strength of the ferroelectric material. Near the period-doubling bifurcation the system can act as a parametric amplifier of small periodic perturbations of frequencies near half the driving frequency. This theoretically predicted effect has been investigated experimetally in a series-resonance circuit with ferroelectric TGS-capacitor. The experimental results are in good agreement with the predictions.
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