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
相关论文
共 50 条
  • [21] LYAPUNOV EXPONENTS AND STOCHASTIC STABILITY OF COUPLED LINEAR-SYSTEMS UNDER REAL NOISE EXCITATION
    ARIARATNAM, ST
    XIE, WC
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1992, 59 (03): : 664 - 673
  • [22] Continuity of Lyapunov exponents for random two-dimensional matrices
    Bocker-Neto, Carlos
    Viana, Marcelo
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2017, 37 : 1413 - 1442
  • [23] Moment Lyapunov exponents of the Parametrical Hill's equation under the excitation of two correlated wideband noises
    Janevski, Goran
    Kozic, Predrag
    Pavlovic, Ivan
    STRUCTURAL ENGINEERING AND MECHANICS, 2014, 52 (03) : 525 - 540
  • [24] On the calculation of Lyapunov and moment Lyapunov exponents for noise driven coupled oscillators
    Namachchivaya, NS
    Van Roessel, HJ
    PROCEEDINGS OF THE EIGHTH INTERNATIONAL COLLOQUIUM ON DIFFERENTIAL EQUATIONS, 1998, : 391 - 398
  • [25] The moment Lyapunov exponent of a Timoshenko beam under bounded noise excitation
    Janevski, Goran
    Kozic, Predrag
    Pavlovic, Ratko
    Golubovic, Zoran
    ARCHIVE OF APPLIED MECHANICS, 2011, 81 (04) : 403 - 417
  • [26] The moment Lyapunov exponent of a Timoshenko beam under bounded noise excitation
    Goran Janevski
    Predrag Kozić
    Ratko Pavlović
    Zoran Golubović
    Archive of Applied Mechanics, 2011, 81 : 403 - 417
  • [27] Stability of a two-dimensional system under combined harmonic and real noise parametric excitations
    Xie, WC
    IUTAM SYMPOSIUM ON NONLINEAR STOCHASTIC DYNAMICS, 2003, 110 : 191 - 201
  • [28] Logarithmic scaling of Lyapunov exponents in disordered chiral two-dimensional lattices
    Markos, P.
    Schweitzer, L.
    PHYSICAL REVIEW B, 2010, 81 (20):
  • [29] Stabilization of a four-dimensional system under real noise excitation
    Zhu, J.
    Xie, W. -C.
    So, R. M. C.
    INTEGRAL METHODS IN SCIENCE AND ENGINEERING: TECHNIQUES AND APPLICATIONS, 2008, : 285 - +
  • [30] Moment Lyapunov exponent for two coupled oscillators driven by real noise
    Namachchivaya, NS
    VanRoessel, HJ
    Doyle, MM
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1996, 56 (05) : 1400 - 1423
12345