Abstract
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.
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Jiang, S., Fang, W., Tang, S. et al. Effects of the frequency-degree correlation on local synchronization in complex networks. Journal of the Korean Physical Society 67, 389–394 (2015). https://doi.org/10.3938/jkps.67.389
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DOI: https://doi.org/10.3938/jkps.67.389