Projective synchronization in chaotic dynamical networks

In this, paper by considering an example of coupled Lorenz chaotic systems, we demonstrate how stable Projective Synchronization (Pj-Syn) phenomenon depends on the linearly and mutually coupling strength among response nodes in typical dynamical networks. Some sufficient criteria for judging the occurrence of stable Pj-Syn are given based on Lyapunov function method. Numerical experiments further verified the rightness of the theoretical analysis results. The basic idea can be applied in further investigation on Pj-Syn phenomenon in general dynamical networks with more complex topology.