标题： 通过平均场近似确定无标度网络中爆炸同步转变的关键耦合 显示英文标题

标题： Determining the critical coupling of explosive synchronization transitions in scale-free networks by mean-field approximations

摘要： 在具有无标度网络时，当Kuramoto振子的自然频率等于它们的连接数时，可以观察到爆炸性同步。在当前的研究中，我们考虑了平均场近似来确定这种爆炸性同步的关键耦合。得到的关键耦合方程与网络平均度呈反比关系。这个表达式不同于当频率分布为单峰且均匀时计算出的结果。在这种情况下，关键耦合取决于度分布的一阶和二阶统计矩的比值。我们还进行了数值模拟以验证我们的分析结果。 显示英文摘要

摘要： Explosive synchronization can be observed in scale-free networks when Kuramoto oscillators have natural frequencies equal to their number of connections. In the current work, we took into account mean-field approximations to determine the critical coupling of such explosive synchronization. The obtained equation for the critical coupling has an inverse dependence with the network average degree. This expression differs from that calculated when the frequency distributions are unimodal and even. In this case, the critical coupling depends on the ratio between the first and second statistical moments of the degree distribution. We also conducted numerical simulations to verify our analytical results.