Effects of the frequency-degree correlation on local synchronization in complex networks

We investigate the effects of the frequency-degree correlation on local synchronization in complex networks with Kuramoto oscillators. We find that a discontinuous synchronization transition occurs in the local patterns for heterogenous networks while for homogenous networks, the local synchronizati...

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Veröffentlicht in:Journal of the Korean Physical Society 2015, 67(2), , pp.389-394
Hauptverfasser: Jiang, Shijin, Fang, Wenyi, Tang, Shaoting, Pei, Sen, Yan, Shu, Zheng, Zhiming
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Sprache:eng
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Zusammenfassung:We investigate the effects of the frequency-degree correlation on local synchronization in complex networks with Kuramoto oscillators. We find that a discontinuous synchronization transition occurs in the local patterns for heterogenous networks while for homogenous networks, the local synchronization transition remains continuous. Then, we extend our study to a general frequency-degree correlation case and conclude that the positive correlation does not change the local synchronization patterns while in the case of a negative correlation, the local synchronization transition degenerates to second order. Moreover, the correlation parameter α is verified to have a strong influence on the synchronization level. In particular, smaller | α | results in higher synchronization ability and faster speed to a synchronized state. Our study provides a deeper understanding of the effects of the frequency-degree correlation on network synchronization.
ISSN:0374-4884
1976-8524
DOI:10.3938/jkps.67.389