Design of parameter identification law and studies on projective synchronization of spatiotemporal chaotic system

Abstract

The parameter identification and the projective synchronization between spatiotemporal chaotic systems are studied. The parameter identification law and the adaptive law of undetermined function representing the coupling strength are designed based on Lyapunov theorem. Not only the unknown parameters in responses system are identified, but also projective synchronization between spatiotemporal chaotic systems is realized. The Burgers equation with spatiotemporal chaos behavior is further taken as an example of simulation analysis.