Synchronization of Van der Pol oscillators based on dynamical complex network

Van der pol function is a typical mathematical model of mechanics, physics and electronics. The function can simulate many kinds of nonlinear dynamical system in practical systems by adjusting the parameter. In this paper, we investigate the synchronization of a class of dynamical complex network which is composed of Van der pol oscillators. Based on the Lyapunov method, some sufficient conditions about single Van der Pol function and a network which is formed by N Van der Pol oscillators are established to guarantee global synchronization of dynamical networks with complex topology. Finally numerical examples are provided to demonstrate the effectiveness of the proposed results.