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Paths to Synchronization on Complex Networks with External Drive |
| ZOU Ying-Ying, LI Hai-Hong** |
School of Science, Beijing University of Posts and Telecommunications, Beijing 100876
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| Cite this article: |
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ZOU Ying-Ying, LI Hai-Hong 2014 Chin. Phys. Lett. 31 100501 |
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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 Erd?s-Rényi networks while it is discontinuous on scale free networks.
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Published: 31 October 2014
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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05.45.Xt
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(Synchronization; coupled oscillators)
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