Li Changpin, Xu Congxiang, Sun Weigang, Xu Jian, Kurths Jürgen
Department of Mathematics, Shanghai University, Shanghai, ChinaThe School of Science, Hangzhou Dianzi University, Hangzhou, China.
Chaos. 2009 Mar;19(1):013106. doi: 10.1063/1.3068357.
In this paper, synchronization between two discrete-time networks, called "outer synchronization" for brevity, is theoretically and numerically studied. First, a sufficient criterion for this outer synchronization between two coupled discrete-time networks which have the same connection topologies is derived analytically. Numerical examples are also given and they are in line with the theoretical analysis. Additionally, numerical investigations of two coupled networks which have different connection topologies are analyzed as well. The involved numerical results show that these coupled networks with different connection matrices can reach synchronization.
本文对两个离散时间网络之间的同步（简称为“外部同步”）进行了理论和数值研究。首先，通过解析推导得出了具有相同连接拓扑的两个耦合离散时间网络之间实现这种外部同步的充分准则。还给出了数值示例，这些示例与理论分析一致。此外，还分析了具有不同连接拓扑的两个耦合网络的数值情况。相关数值结果表明，这些具有不同连接矩阵的耦合网络能够实现同步。
