Onset of synchronization in weighted complex networks: the effect of weight-degree correlation.
Onset of synchronization in weighted complex networks: the effect of weight-degree correlation.
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DOI：
10.1063/1.3597646
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发表时间：
2011-02
期刊：
影响因子：
2.9
通讯作者：
Menghui Li;Xingang Wang;Ying Fan;Z. Di;C. Lai
中科院分区：
文献类型：
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作者：
Menghui Li;Xingang Wang;Ying Fan;Z. Di;C. Lai
通过数值模拟，我们研究了两种不同加权方案下网络相位振荡器同步的开始。在方案一中，链路权重与连接节点的度的乘积相关，因此这种网络被称为权重度相关（WDC）网络。在方案二中，无论节点度数如何，链路权重都随机分配给每个链路，因此这种网络被称为权重度不相关（WDU）网络。有趣的是，我们发现，通过增加控制权重分布的参数，WDC 网络中的同步起始会单调增强，而在 WDU 网络中，同步性能则相反。我们从梯度网络的角度研究了这一现象，并解释了耦合梯度对网络同步的相反作用：梯度在WDC网络中促进同步，而在WDU网络中恶化同步。研究结果强调了这样一个事实：除了链路权重之外，权重和节点度之间的相关性对于网络动态也很重要。
By numerical simulations, we investigate the onset of synchronization of networked phase oscillators under two different weighting schemes. In scheme-I, the link weights are correlated to the product of the degrees of the connected nodes, so this kind of networks is named as the weight-degree correlated (WDC) network. In scheme-II, the link weights are randomly assigned to each link regardless of the node degrees, so this kind of networks is named as the weight-degree uncorrelated (WDU) network. Interestingly, it is found that by increasing a parameter that governs the weight distribution, the onset of synchronization in WDC network is monotonically enhanced, while in WDU network there is a reverse in the synchronization performance. We investigate this phenomenon from the viewpoint of gradient network, and explain the contrary roles of coupling gradient on network synchronization: gradient promotes synchronization in WDC network, while deteriorates synchronization in WDU network. The findings highlight the fact that, besides the link weight, the correlation between the weight and the node degree is also important to the network dynamics.