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arXiv 2001-05-01 0 views

Synchronization in Scale-free Dynamical Networks: Robustness and Fragility

Wang, Xiao Fan · Chen, Guanrong

Original · EN

Recently, it has been demonstrated that many large complex networks display a scale-free feature, that is, their connectivity distributions have the power-law form. In this paper, we investigate the synchronization phenomena in a scale-free dynamical network. We show that its synchronizability is robust against random removal of nodes, but is fragile to specific removal of the most highly connected nodes.

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