Synchronization transition of limit-cycle system with homogeneous phase shifts

被引：0

作者：

Zhang Ting-Xian ^{[1
,2
,3
]}

Zheng Zhi-Gang ^{[1
,2
]}

机构：

[1] Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China

[2] Beijing Normal Univ, Beijing Hong Kong Singapore Joint Ctr Nonlinear &, Beijing 100875, Peoples R China

[3] Qujing Normal Univ, Coll Phys & Elect Engn, Qujing 655011, Peoples R China

来源：

CHINESE PHYSICS B | 2009年 / 18卷 / 10期

基金：

中国国家自然科学基金;

关键词：

nonlinear dynamics; coupled limit-cycle system; synchronization transition; phase shift; OSCILLATORS; POPULATIONS; ENTRAINMENT; LATTICES; KURAMOTO;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The behaviors of coupled oscillators, each of which has periodic motion with random natural frequency in the absence of coupling, are investigated when phase shifts are considered. In the system of coupled oscillators, phase shifts are the same between different oscillators. Synchronization and synchronization transition are revealed with different phase shifts. Phase shifts play an important role for this kind of system. When the phase shift alpha < 0.57 pi, the synchronization state can be attained by increasing the coupling, and the system cannot reach the synchronization state while alpha >= 0.5 pi. A clear scaling between complete synchronization critical coupling strength K-pc and alpha - 0.5 pi is found.

引用

页码：4187 / 4192

页数：6

共 18 条

[1] The Kuramoto model:: A simple paradigm for synchronization phenomena [J].