论文标题
Kuramoto-Sakaguchi振荡器的中介远程同步：调解器的数量很重要
Mediated Remote Synchronization of Kuramoto-Sakaguchi Oscillators: the Number of Mediators Matters
论文作者
论文摘要
已经观察到没有直接神经元连接的皮质区域表现出同步动力学。最近的一项实证研究进一步透露，共享更常见的邻居的地区更有可能行事连贯。为了通过分析研究基本机制，我们认为一组没有直接连接的N振荡器通过M中间振荡器（称为介体）链接，形成完整的双方网络结构。通过Kuramoto-Sakaguchi模型对振荡器进行建模，我们严格地证明介导的远程同步，即，随着介体数量的增加，那些未直接连接的N振荡器之间的同步变得更加稳健。还进行了模拟，以表明我们的理论发现可以应用于其他一般和复杂的网络。
Cortical regions without direct neuronal connections have been observed to exhibit synchronized dynamics. A recent empirical study has further revealed that such regions that share more common neighbors are more likely to behave coherently. To analytically investigate the underlying mechanisms, we consider that a set of n oscillators, which have no direct connections, are linked through m intermediate oscillators (called mediators), forming a complete bipartite network structure. Modeling the oscillators by the Kuramoto-Sakaguchi model, we rigorously prove that mediated remote synchronization, i.e., synchronization between those n oscillators that are not directly connected, becomes more robust as the number of mediators increases. Simulations are also carried out to show that our theoretical findings can be applied to other general and complex networks.
