Moment Lyapunov exponents of a two-dimensional system under real-noise excitation

被引：40
|
作者：
Xie, WC [1 ]
机构：
[1] Univ Waterloo, Fac Engn, Div Solid Mech, Waterloo, ON N2L 3G1, Canada
来源：
JOURNAL OF SOUND AND VIBRATION | 2001年 / 239卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1006/jsvi.2000.3211
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
The moment Lyapunov exponents of a two-dimensional system under real-noise excitation, an Ornstein-Uhlenbeck process, are studied in this paper. The method of regular perturbation is applied to obtain the weak-noise expansions of the moment Lyapunov exponent, Lyapunov exponent, and stability index in terms of the small fluctuation parameter. (C) 2001 Academic Press.
引用
收藏
页码：139 / 155
页数：17
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