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

被引：43

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 | 2003年 / 263卷 / 03期

关键词：

D O I：

10.1016/S0022-460X(02)01068-4

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 bounded noise parametric excitation are studied in this paper. The method of regular perturbation is applied to obtain weak noise expansions of the moment Lyapunov exponent, Lyapunov exponent, and stability index in terms of the small fluctuation parameter. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：593 / 616

页数：24

共 50 条

[1] Moment Lyapunov exponents of a two-dimensional viscoelastic system under bounded noise excitation
Xie, WC
[J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2002, 69 (03): : 346 - 357
[2] Weak noise expansion of moment lyapunov exponents of a two-dimensional system under bounded noise excitation
Xie, Wei-Chau
[J]. American Society of Mechanical Engineers, Applied Mechanics Division, AMD, 2000, 241 : 61 - 68
[3] Moment Lyapunov exponents of a two-dimensional system under real-noise excitation
Xie, WC
[J]. JOURNAL OF SOUND AND VIBRATION, 2001, 239 (01) : 139 - 155
[4] Moment Lyapunov exponents of two-dimensional viscoelastic systems under bounded noise excitations
Xie, W. C.
Huang, Q.
[J]. Structural Dynamics - EURODYN 2005, Vols 1-3, 2005, : 2141 - 2145
[5] Moment Lyapunov exponents of a two-dimensional system under both harmonic and white noise parametric excitations
Xie, WC
[J]. JOURNAL OF SOUND AND VIBRATION, 2006, 289 (1-2) : 171 - 191
[6] Parametric Resonance of a Two-Dimensional System Under Bounded Noise Excitation
Wei-Chau Xie
Ronald M.C. So
[J]. Nonlinear Dynamics, 2004, 36 : 437 - 453
[7] Parametric resonance of a two-dimensional system under bounded noise excitation
Xie, WC
So, RMC
[J]. NONLINEAR DYNAMICS, 2004, 36 (2-4) : 437 - 453
[8] Moment Lyapunov exponents of a two-dimensional system in wind-induced vibration under real noise excitation
Xie, WC
[J]. CHAOS SOLITONS & FRACTALS, 2002, 14 (02) : 349 - 367
[9] Moment Lyapunov exponents of a two-dimensional system under combined harmonic and real noise excitations
Xie, Wei-Chau
[J]. JOURNAL OF SOUND AND VIBRATION, 2007, 303 (1-2) : 109 - 134
[10] Lyapunov exponents and moment lyapunov exponents of a two-dimensional near-nilpotent system
Xie, WC
[J]. JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2001, 68 (03): : 453 - 461

← 1 2 3 4 5 →