Period-Doubling Nonlinear Piezoelectric Oscillations in KH₂PO₄ Crystal near Ferroelectric Transition

Abstract

45° c-cut KDP crystal is observed to form a nonlinear RCL circuit, which shows period-doubling phenomena. The period doubling in KDP was best observed at temperature near T c, at frequencies of anti-resonance piezoelectric oscillation, and either at high driving voltages or under d.c. bias.

Folding catastrophes due to viscosity in multiferroic domains: implications for room-temperature multiferroic switching

“…Other kinds of bifurcations are known in ferroelectrics in a different context: [25,26] Temporal oscillations and period doubling are examples related to van der Pol, Lotka-Volterra, and other predator-prey models; [27] the former has been treated in terms of fold bifurcations. [28] It is not known in the present work whether the ferroelastic folds arise from the PLD (pulsed laser deposition) deposition of the films or from the subsequent FIB (focused ion beam) thinning.…”