Study On The Coupling Synchronization Between Time-delay Spatiotemporal Networks

Nowadays,with the rapid development of network technology,the related research of complex network has been widely concerned by scholars because of its practicability and extensiveness in many application fields.Although there are many dynamic behaviors in complex networks,network synchronization plays an important role.In particular,the coupling synchronization of network is favored by the majority of scholars for its advantages of simple control and easy realization in practice.This thesis focuses on the coupling synchronization of complex spatiotemporal networks.The research contents are as follows:The coupling synchronization between time-delay networks is studied.First,a time-delay spatiotemporal network composed of a class of electrically stimulated neurons is constructed.By using the stability theorem and Lipschitz condition,a suitable Lyapunov-Krasovskii functional and an adaptive law of coupling coefficients are designed,and the coupling synchronization condition of time-delay networks is obtained.Finally,the feasibility of the synchronization scheme is verified by simulation.On this basis,the coupling synchronization between uncertain time-delay networks with unknown parameters and the identification of unknown parameters are studied.An appropriate Lyapunov-Krasovskii functional and an identification law of unknown parameters are designed for the time-delay spatiotemporal network with unknown parameters,thus obtaining the synchronization conditions of time-delay spatiotemporal network,and the unknown parameters in the network are also identified accurately.Hindmarsh-Rose neurons were used as network nodes for simulation to verify the effectiveness of the synchronization scheme.This scheme is practical because it takes into account the parameter uncertainty caused by the complex network structure and the time-delay effect of coupling between nodes.