Volume 101, Number 3, February 2013
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||15 February 2013|
Effects of frequency-degree correlation on synchronization transition in scale-free networks
1 School of Science, Jiangxi University of Science and Technology - Ganzhou 341000, PRC
2 State Key Lab of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications - Beijing 100876, China
3 School of Science, Beijing University of Posts and Telecommunications - Beijing 100876, PRC
4 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences - Wuhan 430071, China
Received: 21 August 2012
Accepted: 16 January 2013
Explosive synchronization in the scale-free network with a positive frequency-degree correlation has been reported recently (Gomez G. J. et al., Phys. Rev. Lett., 106 (2011) 128701). In this article, we generalize this study and find that the explosive synchronization is replaced by a kind of hierarchical synchronization if the microscopic correlation between the frequency and the interacting topology of the network becomes negative. A star network model is set to prove this novel behavior. We also find that the degree assortativity has significant influence on the explosive synchronization but slight impact on the hierarchical synchronization. These findings are meaningful for revealing unusual effects of correlations between dynamics and structure of complex networks.
PACS: 89.75.Hc – Networks and genealogical trees / 89.75.Kd – Patterns / 05.45.Xt – Synchronization; coupled oscillators
© EPLA, 2013
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