Noise-induced synchronization and clustering in ensembles of uncoupled limit-cycle oscillators

被引：157

作者：

Nakao, Hiroya ^{[1
]}

Arai, Kensuke ^{[1
]}

Kawamura, Yoji ^{[1
]}

机构：

[1] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan

来源：

PHYSICAL REVIEW LETTERS | 2007年 / 98卷 / 18期

关键词：

D O I：

10.1103/PhysRevLett.98.184101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study synchronization properties of general uncoupled limit-cycle oscillators driven by common and independent Gaussian white noises. Using phase reduction and averaging methods, we analytically derive the stationary distribution of the phase difference between oscillators for weak noise intensity. We demonstrate that in addition to synchronization, clustering, or more generally coherence, always results from arbitrary initial conditions, irrespective of the details of the oscillators.

引用

页数：4

共 32 条

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Arnold L., 1974, STOCHASTIC DIFFERENT, DOI DOI 10.1002/ZAMM.19770570413

[2] MULTIPLE PULSE INTERACTIONS AND AVERAGING IN SYSTEMS OF COUPLED NEURAL OSCILLATORS [J].