Synchronization and desynchronization of self-sustained oscillators by common noise

被引：144
|
作者：
Goldobin, DS
Pikovsky, A
机构：
[1] Univ Potsdam, Dept Phys, D-14415 Potsdam, Germany
[2] Perm State Univ, Dept Theoret Phys, Perm 614990, Russia
来源：
PHYSICAL REVIEW E | 2005年 / 71卷 / 04期
关键词：
D O I：
10.1103/PhysRevE.71.045201
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We consider the effect of external noise on the dynamics of limit cycle oscillators. The Lyapunov exponent becomes negative under influence of small white noise, what means synchronization of two or more identical systems subject to common noise. We analytically study the effect of small nonidentities in the oscillators and in the noise, and derive statistical characteristics of deviations from the perfect synchrony. Large white noise can lead to desynchronization of oscillators, provided they are nonisochronous. This is demonstrated for the Van der Pol-Duffing system.
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