Modified projective phase synchronization of chaotic complex nonlinear systems

This paper introduces the concept of Modified Projective Phase Synchronization (MPPS) for interacting chaotic systems with complex variables. The idea is that the number of effective state variables can be increased by treating the real and imaginary parts separately. On the basis of the Lyapunov stability theory, a scheme is designed to realize the new form of chaotic synchronization, and we demonstrate how chaotic complex systems in a master–slave configuration can be synchronized to a constant scaling matrix. The speed and accuracy of the synchronization are illustrated by means of computer simulation.