Research On Spatiotemporal Chaos Synchronization In Complex Dynamic Networks

Synchronization is an important field of research in complex networks,which provides great convenience to our life and also plays a facilitating role in the development of society and the progress of technology.Therefore,synchronization of complex networks has become one of the hot research spots nowadays.This paper focuses on the problem of spatiotemporal chaotic synchronization among complex networks as follows:(1)The synchronization problem between a class of uncertain complex networks is studied.Based on Lyapunov stability theory and adaptive control scheme,the unknown parameter identification law and the control scheme are defined to make the synchronization between the complex networks.The Fisher-Kolmogorov and Burgers spatiotemporal chaotic systems are selected as the network nodes,and the nearest-neighbor coupled network and the global coupled network are used as the coupling of the target network for simulation analysis to verify the correctness of this synchronization strategy.(2)A spatiotemporal chaotic synchronization method for WS small-world complex networks based on pinning control is proposed.Compared with the regular network,the smallworld network model can better simulate the actual network.Based on spatiotemporal chaos as the dynamical properties of the network node equations,the Lipschitz condition and the pinning control theory are used to control some nodes of the network so that each node in the network is synchronized with the target.Finally,a two-dimensional Predator-Prey spatiotemporal chaotic system is used as the nodes for simulation,so as to verify the effectiveness of the synchronization control strategy for complex networks.