An analysis of phase noise and Fokker-Planck equations

被引：9

作者：

Chow, Shui-Nee ^{[1
]}

Zhou, Hao-Min ^{[1
]}

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年 / 234卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/j.jde.2006.11.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A local moving orthonormal transformation has been introduced to rigorously study phase noise in stochastic differential equations (SDEs) arising from nonlinear oscillators. A general theory of phase and amplitude noise equations and its corresponding Fokker-Planck equations are derived to characterize the dynamics of phase and amplitude error. As an example, a van der Pol oscillator is considered by using the general theory. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：391 / 411

页数：21

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