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Cluster Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control

机译:钉扎控制的非线性耦合复杂网络集群同步

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We consider a method for driving general complex networks into prescribed cluster synchronization patterns by using pinning control. The coupling between the vertices of the network is nonlinear, and sufficient conditions are derived analytically for the attainment of cluster synchronization. We also propose an effective way of adapting the coupling strengths of complex networks. In addition, the critical combination of the control strength, the number of pinned nodes and coupling strength in each cluster are given by detailed analysis cluster synchronization of a special topological structure complex network. Our theoretical results are illustrated by numerical simulations.
机译:我们考虑一种通过使用钉扎控制将一般复杂网络驱动到规定的群集同步模式的方法。网络的顶点之间的耦合是非线性的,并且分析得出足够的条件以实现集群同步。我们还提出了一种适应复杂网络耦合强度的有效方法。另外,通过特殊拓扑结构复杂网络的详细分析集群同步,给出了每个集群中控制强度,固定节点数和耦合强度的关键组合。数值模拟说明了我们的理论结果。

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