What Can We Learn About Ferroelectrics Using Methods of Nonlinear Dynamics?

Abstract

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 Landautheory suggest to describe the resonance circuit by means of a Duffingequation. Because of the switching process during the nonlinear vibrations the real situation is more complicated as can be shown by nonlinear time series analysis [1].

Signs of dynamic nonlinearity of the coal dielectrics depolarization upon excitation in electric and magnetic field

“…The behavior of the system is closely related to relaxation phenomena due to domain switching. The research on the nonlinear dynamics of cyclic oscillations on a ferroelectric capacitor in a resonant circuit showed the presence of characteristic bifurcations and the chaotic behavior of the system [4].…”

Numerical simulations of nonlinear and chaotic order parameter responses in bulk antiferroelectrics using ammonium dihydrogen phosphate parameter

“…Some switching processes and nonlinear chaotic dynamics in second order ferro-and anti-ferromagnetic systems have been studied theoretically using Landau-Lifshitz equations of motion (Chan 2010;Toh 2009). For ferroelectric system, i. e., triglycine sulfate, the similar studies have been carried out theoretically and numerically using Landau theory, and experimentally by measuring responses of ferroelectric capacitor in series resonance circuit (Diestelhorst 2003). The switching processes and some conventional nonlinear responses in ferro-and anti-ferroelectrics have been discussed and studied (Lines, Glass 1977;Tan 2001).…”