Title: WHAT CAN WE LEARN ABOUT FERROELECTRICS USING METHODS OF NONLINEAR DYNAMICS?
Authors: M.Diestelhorst (Martin-Luther-University, Department of Physics, Friedemann-Bach-Platz 6, D-06114 Halle, Germany)

The nonlinear series resonance circuit with ferroelectric capacitor has been extensively investigated. If the ferroelectric within the capacitor is in its polar phase many of the features well known from model systems of nonlinear dynamics may be observed. These characteristics are the shift of resonance frequency with increasing driving voltage, bifurcations and chaotic behaviour. Considerations of the system on the basis of simple Landau-theory suggest to describe the resonance circuit by means of a Duffing-equation. Because of the switching process during the nonlinear vibrations the real situation is more complicated as can be shown by nonlinear time series analysis.

Key words: ferroelectricity, domains, TGS, nonlinear dynamics, Duffing-equation, chaos
PACS: 05.45.a, 05.45.Tp, 77.80.-e, 77.84.Fa