| The study on synchronization of complex network has become an important and challenging topic. Many complex phenomena in nature can be explained by synchronization of complex network, and it has a close relation with our daily life and the society, therefore, it is of great practical significance and has a broad application prospect. A broad introduction is made on the research progress of complex networks in this paper, which includes the research course of complex networks, some basic concepts, the establishment of complex network models, network properties, the significance of network synchronization and the research situation at home and abroad as well. Meanwhile, two kinds of typical complex network synchronization are also studied in the paper, which are Rich-club network synchronization and leaf network synchronization. The complete synchronization of Rich-club network which is nonlinear coupled with Plankton spatiotemporal chaos as nodes is studied in the third chapter. The condition of complete network synchronization is obtained through theoretical analysis based on the Lyapunov stability theorem. Further simulation is made to test the theoretical analysis results. N Navier-Stokes equations are used as nodes of the leaves network which is nonlinear coupled in the fourth chapter. The structure of nonlinear coupling function which connects the nodes of the network is given based on Lyapunov stability theorem. The condition to realize the network synchronization is analyzed, and simulation is made to test the effect of the network synchronization and the feasibility of the method.. |
PDF Full Text Request