SYNCHRONIZATION OF COMPLEX NETWORK BASED ON THE THEORY OF GRAVITATIONAL FIELD

Based on the conception of gravitational field, the issue of synchronization of complex network turns to the interaction and motion of particles under a physical field. By the design of coupling factor based on velocity, the synchronization of complex network is obtained where the dynamics of those nodes may be discontinuous and different from each other. Unlike those common methods of synchronization, this new approach is not limited in any desired governing equation of motion. According to the idea of approximation, the conditions of network synchronization and the synchronous orbit equation in the gravitational field are pointed out. The speed of synchronization is positively related to the coefficient of gravity. Synchronization was obtained in complex network with 51 and 501 nodes of piecewise linear Chen systems, Sprott systems and Lorenz systems, which shows the effectiveness of the proposed method.