| 二自由度耦合非线性随机系统的最大Lyapunov指数和稳定性 |
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| 引用本文： | 戎海武,徐伟,等.二自由度耦合非线性随机系统的最大Lyapunov指数和稳定性[J].应用力学学报,1998,15(1):22-29. |
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| 作者姓名： | 戎海武 徐伟 |
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| 作者单位： | 西北工业大学 |
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| 摘 要： | 利用摄动方法讨论了一类耦合二自由度非线性系统，在小强度白噪声参数激励下系统运动模态的稳定性，获得了系统扩散过程的稳态概率密度的渐近表达式，由此获得了系统运动模态几乎必然稳定的充分必要条件。
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| 关 键 词： | 非线性耦合随机系统 最大Lyapunov指数 几乎必然稳定性 平稳概率密度 摄动法 |
Maximal Lyapunov Exponent and Almost Sure Sample Stability for Coupled Two Degree of Freedom Nonlinear Stochastic Systems |
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| Rong Haiwu,Xu Wei,Fang Tong.Maximal Lyapunov Exponent and Almost Sure Sample Stability for Coupled Two Degree of Freedom Nonlinear Stochastic Systems[J].Chinese Journal of Applied Mechanics,1998,15(1):22-29. |
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| Authors: | Rong Haiwu Xu Wei Fang Tong |
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| Abstract: | In this paper, a perturbation approach is used to calculate the asymptotic growth rate of stochastically coupled two degree of freedom nonlinear stochastics systems. The noise is assumed to be white and of small intensity in order to calculate the explicit asymptotic formulas for the maximum Lyapunov exponent. The almost sure sample stability or instability of the four dimensional stochastic system depends on the sign of the maximum Lyapunov exponent. |
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| Keywords: | nonlinear stochastic system maximum Lyapunov exponent almost sure sample stability stable probability density function perturbation method |
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