Moment Lyapunov exponents of a two-dimensional system under combined harmonic and real noise excitations

被引：4
|
作者：
Xie, Wei-Chau [1 ]
机构：
[1] Univ Waterloo, Fac Engn, Dept Civil & Environm Engn, Waterloo, ON N2L 3G1, Canada
来源：
JOURNAL OF SOUND AND VIBRATION | 2007年 / 303卷 / 1-2期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1016/j.jsv.2006.12.030
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
The moment Lyapunov exponents and the Lyapunov exponents of a two-dimensional system under combined excitations of harmonic and real noise, which is modelled as an Ornstein-Uhlenbeck process, are studied. The moment Lyapunov exponents and the Lyapunov exponents are important characteristics determining the moment and almost-sure stability of a stochastic dynamical system. The eigenvalue problem governing the moment Lyapunov exponent is established. A regular perturbation method is applied to solve the eigenvalue problem to obtain second-order, weak noise expansions of the moment Lyapunov exponents. The influence of the real noise excitation on the parametric resonance due to the harmonic excitation is investigated. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：109 / 134
页数：26
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