Synchronization of complex dynamical networks with hybrid coupling

For a strongly connected network, the network may achieve synchronization by coupling of nodes. However, as the size of the network increases, it is difficult for one node with higher degree to couple with all its neighbors, especially when the dimension of the isolated node’s dynamics is more than one. In order to solve this problem, a novel hybrid coupling strategy is proposed to make a complex dynamical network achieve synchronization, where only one random dimension of each node is coupled with its all neighbors, and the other dimension of the node is coupled with only one node. Several numerical simulations verify the effectiveness of the proposed strategy.