Observation of generalized synchronization of chaos in a driven chaotic system

Abstract

We report on the experimental observation of the generalized synchronization of chaos in a real physical system. We show that under a nonlinear resonant interaction, the chaotic dynamics of a single mode laser can become functionally related to that of a chaotic driving signal and furthermore as the coupling strength is further increased, the chaotic dynamics of the laser approaches that of the driving signal.

Generalized synchronization of chaos: experiments on a two-mode microchip laser with optoelectronic feedback

“…1(a)), whereas a chaotic wave form calculated from the Lorenz equations was injected into a laser system in Ref. [35]. Since the driving signal is strongly correlated to the dynamics of the response laser, we expect to observe identical synchronization at identical parameter values in our experiment.…”

“…[35] in three important ways. Firstly, we use a driving signal generated in the same laser as the response laser ( Fig.…”

“…In the first experimental demonstration of generalized synchronization, detailed in Ref. [35], the character of synchronization was shown to depend on the strength of the driving signal. For weak driving, generalized synchronization was shown to occur, whereas for strong driving, the chaotic response system identically synchronized to the drive.…”

“…Generalized synchronization in lasers was first reported in Ref. [35] in an experiment with a single-mode NH 3 ring laser driven by a signal obtained from the Lorenz equations.…”

“…[31][32][33][34] investigating the phase synchronization of laser chaos and Refs. [35,36] investigating generalized synchronization. Generalized synchronization in lasers was first reported in Ref.…”