Complete Synchronization of Two Bidirectionally Coupled Piecewise Linear Chaotic Systems Perturbed by Poisson Noise

Abstract

We establish the sufficient conditions of complete synchronization with probability 1 in the coupled bidirectional piecewise linear chaotic systems with common or different Poisson noises and the positive effects of Poisson noises on the complete synchronization will be found based on the proposed theoretical results. We compare the effects of Poisson noise on the complete synchronization with the case of Gaussian white noise, and then we claim Poisson noise can induce complete synchronization easier than Gaussian white noise in the sense of noise strength. Furthermore, a numerical example is presented to show the excellent agreement between theoretical and numerical analysis.