Susceptibility of large populations of coupled oscillators
Susceptibility of large populations of coupled oscillators
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DOI：
10.1103/physreve.91.012925
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发表时间：
2015-01-28
影响因子：
2.4
通讯作者：
Daido, Hiroaki
中科院分区：
文献类型：
--
作者：
Daido, Hiroaki
阐明大量耦合振子的相序度如何响应于来自外部的同步周期力是一个重要而有趣的问题。在这里，这个问题是研究分析以及通过引入非随机或随机相互作用的全局耦合相位振荡器的磁化率的概念数值。结果表明，在满足Widom等式的非随机情况下，磁化率在临界点处发散，而在最随机的情况下，磁化率出现一个尖点。
It is an important and interesting problem to elucidate how the degree of phase order in a large population of coupled oscillators responds to a synchronizing periodic force from the outside. Here this problem is studied analytically as well as numerically by introducing the concept of susceptibility for globally coupled phase oscillators with either nonrandom or random interactions. It is shown that the susceptibility diverges at the critical point in the nonrandom case with Widom's equality satisfied, while it exhibits a cusp in the most random case.