The mean field of weakly coupled oscillators exhibits non-smooth phase noise

被引：4

作者：

Gleeson, JP ^{[1
]}

机构：

[1] Natl Univ Ireland Univ Coll Cork, Dept Appl Math, Cork, Ireland

来源：

EUROPHYSICS LETTERS | 2006年 / 73卷 / 03期

关键词：

D O I：

10.1209/epl/i2005-10400-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The magnitude of the complex-valued mean field of N coupled oscillators is known to act as an order parameter for the synchronization transition; in this letter it is shown that the phase speed ( rate of change of the phase angle) of the mean field is a non-smooth random process, as demonstrated by the existence of a 1/f spectrum across a range of frequencies. An exact expression for the phase speed correlation function is derived in the limit of vanishing coupling between oscillators; numerical results show the 1/f scaling can also persist beyond the synchronization threshold.

引用

页码：328 / 334

页数：7

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