具有最近邻耦合的相位耦合振荡器向完全同步的转变。

Transition to complete synchronization in phase-coupled oscillators with nearest neighbor coupling.

作者信息

El-Nashar Hassan F, Muruganandam Paulsamy, Ferreira Fernando F, Cerdeira Hilda A

机构信息

Department of Physics, Faculty of Science, Ain Shams University, Cairo, Egypt.

出版信息

Chaos. 2009 Mar;19(1):013103. doi: 10.1063/1.3056047.

DOI:10.1063/1.3056047

PMID:19334967

Abstract

We investigate synchronization in a Kuramoto-like model with nearest neighbor coupling. Upon analyzing the behavior of individual oscillators at the onset of complete synchronization, we show that the time interval between bursts in the time dependence of the frequencies of the oscillators exhibits universal scaling and blows up at the critical coupling strength. We also bring out a key mechanism that leads to phase locking. Finally, we deduce forms for the phases and frequencies at the onset of complete synchronization.

摘要

我们研究了具有最近邻耦合的类Kuramoto模型中的同步现象。通过分析完全同步开始时单个振子的行为，我们表明，振子频率随时间变化的突发之间的时间间隔呈现出普遍标度，并在临界耦合强度处发散。我们还揭示了导致锁相的关键机制。最后，我们推导了完全同步开始时相位和频率的形式。