Maximal Lyapunov exponent and almost-sure sample stability for second-order linear stochastic system

Rong Haiwu, Xu Wei, Wang Xiangdong, Meng Guang, Fang Tong

科研成果: 期刊稿件文章同行评审

15 引用 (Scopus)

摘要

The principal resonance of second-order system to random parametric excitation is investigated. The method of multiple scales is used to determine the equations of modulation of amplitude and phase. The effects of damping, detuning, bandwidth, and magnitudes of random excitation are analyzed. The explicit asymptotic formulas for the maximum Lyapunov exponent is obtained. The almost-sure stability or instability of the stochastic Mathieu system depends on the sign of the maximum Lyapunov exponent.

源语言英语
页(从-至)609-614
页数6
期刊International Journal of Non-Linear Mechanics
38
4
DOI
出版状态已出版 - 6月 2003

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