进行了异结构离散型时空网络的聚类同步研究。首先,利用Lyapunov定理构造合适的Lyapunov函数,从而实现了离散型时空网络与目标系统的聚类同步。其次,设计了网络中变化参量的识别函数和网络同步控制器。最后,在数值模拟中,选用具有时空混沌行为的激光相位共轭波空间扩展系统、Gibbs电光时空混沌模型、Bragg声光时空混沌模型作为三个聚类的网络节点的状态方程,以单向耦合映像格子的动力学方程作为目标系统,通过仿真模拟验证其同步原理的可行性。文中设计的同步技术既适用于同结构网络的同步也适用于异结构网络的同步,因此,具有一定的普适性。

Cluster synchronization of discrete laser time-space network with different structure is researched. Firstly, the Lyapunov theorem is used to construct a suitable Lyapunov function to realize the cluster synchronization of the discrete time-space network and the target system. Secondly, the recognition function of the variation parameter in network and the network synchronization controller are designed. Finally, the laser phase conjugate wave spatial expansion system with spatiotemporal chaos behavior, Gibbs electro-optical spatiotemporal chaos model and Bragg acousto-optic spatiotemporal chaos model are selected as the state equations of three cluster network nodes. The dynamic equation of the coupled map lattice with single phase is used as a target system, and the feasibility of the synchronization scheme is verified by numerical simulation. The designed synchronization technology is suitable to both the synchronization of the same structure networks and the synchronization of different structure networks. Therefore, it’s generally suitable.