2014•Chinese Physics LettersOpen access

Paths to Synchronization on Complex Networks with External Drive

Yingying Zou, Haihong Li

Abstract

We investigate the dynamics of the Kuramoto model on complex networks with part of the oscillators subjected to an external drive. It is found that the mutual synchronization is attracted to the drive when the frequency of the drive is close to the mean frequency of oscillators and, otherwise, mutual synchronization coexists with the driven synchronization. We also find that the synchronization between the mutual synchronization and the driven synchronization is dependent on the network topology when the coupling strength among oscillators is far away from the global synchronization in the absence of the drive. The transition is continuous on Erdös-Rényi networks while it is discontinuous on scale free networks.

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Key concepts: Synchronization (alternating current), Synchronization networks, Topology (electrical circuits), Kuramoto model, Complex network, Coupling (piping), Computer science, Control theory (sociology)