Mode Analysis of a Hybrid Bistable Device

Abstract

The exact scenario leading to chaos in infinite dimensional systems systems described by differential-difference equations (DDE) has attracted a lot of attention recently. The electro-optic bistable device which is described by that sort of equation was shown by Gibbs & al.1 (after a prediction by Ikeda & al.2) to reach chaos after a truncated perioddoubling sequence resembling the case quantitatively studied by Feigenbaum. However in the chaotic region, the electro-optic system shows windows of "frequency-locked" oscillations and other features that cannot be interpreted in the frame of a one-dimensional analysis.