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
相关论文
共 50 条
  • [31] Systematic density expansion of the Lyapunov exponents for a two-dimensional random Lorentz gas
    Kruis, H. V.
    Panja, Debabrata
    van Beijeren, Henk
    JOURNAL OF STATISTICAL PHYSICS, 2006, 124 (2-4) : 823 - 842
  • [32] Characterization of finite-time Lyapunov exponents and vectors in two-dimensional turbulence
    Lapeyre, G
    CHAOS, 2002, 12 (03) : 688 - 698
  • [33] Systematic Density Expansion of the Lyapunov Exponents for a Two-Dimensional Random Lorentz Gas
    H. V. Kruis
    Debabrata Panja
    Henk van Beijeren
    Journal of Statistical Physics, 2006, 124 : 823 - 842
  • [34] On the control of Lyapunov exponents of two-dimensional linear systems with locally integrable coefficients
    Kozlov, A. A.
    DIFFERENTIAL EQUATIONS, 2008, 44 (10) : 1375 - 1392
  • [35] On the control of Lyapunov exponents of two-dimensional linear systems with locally integrable coefficients
    A. A. Kozlov
    Differential Equations, 2008, 44 : 1375 - 1392
  • [36] Collective excitations in a two-dimensional dipole system
    Golden, Kenneth I.
    Kalman, Gabor J.
    Donko, Zoltan
    Hartmann, Peter
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (21)
  • [37] Critical exponents of a two-dimensional continuum percolation system
    Okazaki, A
    Maruyama, K
    Okumura, K
    Hasegawa, Y
    Miyazima, S
    PHYSICAL REVIEW E, 1996, 54 (04): : 3389 - 3392
  • [38] Stochastic averaging for SDOF strongly nonlinear system under combined harmonic and Poisson white noise excitations
    Liu, Weiyan
    Guo, Zhongjin
    Yin, Xunru
    INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2020, 126
  • [39] Jump and bifurcation of Duffing oscillator under combined harmonic and white noise excitations
    Huang, ZL
    Zhu, WQ
    Suzuki, Y
    ADVANCES IN STRUCTURAL DYNAMICS, VOLS I & II, 2000, 10 : 1167 - 1174
  • [40] Open problem -: An open question on the Lyapunov exponents for two-dimensional quasiperiodically forced maps
    Alseda, Lluis
    Costa, Sara
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2008, 14 (09) : 987 - 989
12345