研究了具有自适应标度函数的一类节点数不同的离散型不确定激光时空网络的标度函数投影同步问题。通过设计适当的控制器,不但实现了节点数不同的离散型不确定时空网络的投影同步,而且表示网络拓扑结构的耦合矩阵元、反馈强度以及标度函数也被同时确定。选取一维环形腔激光器模型和电光双向耦合格子模型构成的时空网络为例进行了仿真实验,网络节点数目根据实际需要任意设定,发现不确定时空网络的同步性能非常稳定,说明该方法具有一定的可行性。

A class of scaling functions projective synchronization between uncertain laser spatiotemporal networks with different number of nodes is researched. Through designing appropriate controllers, not only the projective synchronization between discrete uncertain spatiotemporal networks with different number of nodes is realized, but also the coupling matrix element representing the topological structure of the network, the feedback strength and scale function are determined at the same time. By taking the spatiotemporal network composed of one-dimensional ring cavity laser model and electro-optical bidirectional coupled lattice model as an example to simulate, the number of network nodes is arbitrarily set according to actual needs, and it is found that the synchronization performance of the uncertain spatiotemporal network is very stable, which shows that this method is feasible.