Bifurcations in the Sakaguchi-Kuramoto model

被引：51
|
作者：
Omel'chenko, Oleh E. [1 ,2 ]
Wolfrum, Matthias [1 ]
机构：
[1] Karl Weierstrass Inst Math, D-10117 Berlin, Germany
[2] Natl Acad Sci Ukraine, Inst Math, UA-01601 Kiev, Ukraine
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2013年 / 263卷
关键词：
Synchronization; Coupled oscillators; Sakaguchi-Kuramoto model; Ott-Antonsen reduction; LOCKED STATE; SYNCHRONIZATION; POPULATIONS; SPECTRUM;
D O I：
10.1016/j.physd.2013.08.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We analyze the Sakaguchi-Kuramoto model of coupled phase oscillators in a continuum limit given by a frequency dependent version of the Ott-Antonsen system. Based on a self-consistency equation, we provide a detailed analysis of partially synchronized states, their bifurcation from the completely incoherent state and their stability properties. We use this method to analyze the bifurcations for various types of frequency distributions and explain the appearance of non-universal synchronization transitions. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：74 / 85
页数：12
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