Publication Cover
Phase Transitions
A Multinational Journal
Volume 42, 1993 - Issue 3-4
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Original Articles

Series resonance circuit with ferroelectric capacitor

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Pages 169-187 | Received 18 May 1992, Published online: 19 Aug 2006
 

Abstract

A series resonance circuit under sinuousoidal driving is investigated experimentally. The inductance consists of an air coil. The capacitance is made up of a ferroelectric material that introduces its nonlinear dielectric properties into the circuit. The dynamical system linear coil-nonlinear capacaitor shows an interesting behaviour. The phase portrait 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 cubic nonlinearity of the dielectric properties a Duffing equation is proposed as a model for periodic behaviour of the series resonance circuit. Simulations of experimentally recorded phase portraits yield good agreement between experiment and model.

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