配对混合增强了无标度网络中爆炸同步的不可逆性
Assortative mixing enhances the irreversible nature of explosive synchronization in growing scale-free networks
摘要：
我们讨论了在振荡器的固有频率和网络的度之间存在正相关的情况下，通过无标度拓扑结构的相位振荡器网络的大合奏的行为。特别是，我们表明，度度相关性的网络结构中的进一步存在有重要的后果的性质上的相变特征的通道从相位不相干的相位相干网络的状态。虽然高水平的正负混合一致地诱导了二阶相变，但适度的混合值，如现实世界中普遍存在的社交网络的特征，大大增强了不断增长的无标度网络中爆炸同步的不可逆性。后一种效果对应于区分向前和向后过渡到同步的滞后环的面积和宽度的最大化。
英文摘要：
We discuss the behavior of large ensembles of phase oscillators networking via scale-free topologies in the presence of a positive correlation between the oscillators' natural frequencies and network's degrees. In particular, we show that the further presence of degree-degree correlation in the network structure has important consequences on the nature of the phase transition characterizing the passage from the phase-incoherent to the phase-coherent network's state. While high levels of positive and negative mixing consistently induce a second-order phase transition, moderate values of assortative mixing, such as those ubiquitously characterizing social networks in the real world, greatly enhance the irreversible nature of explosive synchronization in growing scale-free networks. This latter effect corresponds to a maximization of the area and of the width of the hysteretic loop that differentiates the forward and backward transitions to synchronization.
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