Moment Lyapunov exponents of a two-dimensional system in wind-induced vibration under real noise excitation

被引：4
|
作者：
Xie, WC [1 ]
机构：
[1] Univ Waterloo, Fac Engn, Div Solid Mech, Waterloo, ON N2L 3G1, Canada
来源：
CHAOS SOLITONS & FRACTALS | 2002年 / 14卷 / 02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/S0960-0779(01)00237-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Lyapunov exponent, moment Lyapunov exponent, and stability index of a two-dimensional system in wind-induced vibration under real noise excitation are studied. The real noise is modelled by an Ornstein-Uhlenbeck process. The method of regular perturbation is applied to obtain small noise expansion of the moment Lyapunov, from which the small noise expansions of the Lyapunov exponent and stability index are also obtained. (C) 2002 Elsevier Science Ltd. All rights reserved.
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页码：349 / 367
页数：19
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