SERIES RESONANCE CIRCUIT WITH FERROELECTRIC CAPACITOR

A series resonance circuit under sinuousoidal driving is investigated experimentally. The inductance consists of an air coil. The capacitanc e is made up of a Ferroelectric material that introduces its nonlinear dielectric properties into the circuit. The dynamical system linear c oil - nonlinear capacaitor shows an interesting behaviour. The phase p ortrait differs in general from the ellipse of the harmonic oscillator . For appropriate external conditions period doubling sequences, chaos and therein enclosed periodic windows might occur. Starting From a cu bic nonlinearity of the dielectric properties a Duffing equation is pr oposed as a model for periodic behaviour of the series resonance circu it. Simulations of experimentally recorded phase portraits yield good agreement between experiment and model.