Optimal synchronizability of complex dynamical networks

Kun Dai, Wang Xiao-fan · 2008

In this paper, we propose an eigenvector criterion for achieving optimal synchronizability in a dynamical network. Two synchronization-optimal small-world (SOSW) models are generated by adding or rewiring edges from a nearest-neighbor coupled regular network according to the eigenvector criterion. We find that networks having very similar topology characteristics may have different synchronizability which reveals the complexity of the relationship between synchronizability and structure topologies of complex networks.

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