Zhu Liuhua, Tian Liang, Shi Daning
College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Oct;88(4):042921. doi: 10.1103/PhysRevE.88.042921. Epub 2013 Oct 28.
The emergence of explosive synchronization transitions in networks of phase oscillators recently has become one of the most interesting topics. It is widely believed that the large frequency mismatch of a pair of oscillators (also known as disassortativity in frequency) is a direct cause of an explosive synchronization. It is found that, besides the disassortativity in frequency, the disassortativity in node degree also shows up in connection with the first-order synchronization transition. In this paper, we simulate the Kuramoto model on top of a family of networks with different degree-degree and frequency-frequency correlation patterns. Results show that only when the degrees and natural frequencies of the network's nodes are both disassortative can an explosive synchronization occur.
最近，相位振荡器网络中爆发性同步转变的出现已成为最有趣的话题之一。人们普遍认为，一对振荡器的大频率失配（在频率上也称为异配性）是爆发性同步的直接原因。研究发现，除了频率上的异配性外，节点度的异配性也与一阶同步转变有关。在本文中，我们在具有不同度-度和频率-频率相关模式的一系列网络上模拟了Kuramoto模型。结果表明，只有当网络节点的度和自然频率都呈异配时，才会发生爆发性同步。
