| 基于Lyapunov指数谱的非线性隔振系统混沌运动参数区域预测 |
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| 引用本文： | 朱石坚,俞翔. 基于Lyapunov指数谱的非线性隔振系统混沌运动参数区域预测[J]. 海军工程大学学报, 2003, 15(6): 8-12 |
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| 作者姓名： | 朱石坚 俞翔 |
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| 作者单位： | 海军工程大学,振动与噪声研究所,湖北,武汉,430033 |
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| 摘 要： | Lyapunov指数是定量描述系统运动状态的重要参数之一.讨论了Lyapunov指数谱的数值计算方法以及它和总时间的关系,利用混沌状态下系统的最大Lyapunov指数大于零的性质预测了非线性隔振系统处于混沌运动状态时两个可变参数的参数区域.
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| 关 键 词： | 非线性 隔振 Lyapunov指数 混沌 |
| 文章编号： | 1009-3486(2003)06-0008-05 |
| 修稿时间： | 2003-03-04 |
Prediction for parameter region of chaos of nonlinear vibration isolation system based on Lyapunov exponential spectrum |
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| ZHU Shi-jian,YU Xiang. Prediction for parameter region of chaos of nonlinear vibration isolation system based on Lyapunov exponential spectrum[J]. Journal of Naval University of Engineering, 2003, 15(6): 8-12 |
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| Authors: | ZHU Shi-jian YU Xiang |
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| Abstract: | The Lyapunov exponents are ones of the importantparameters for describing quantitatively the system state of motion. The numerical calculation method of the Lyapunov exponential spectrum and its relation with the totaltime are discussed.Subsequently,according to the principle, namely the largest Lyapunov exponent will bepositive if the system is inchaotic motion state, the parameter regions where the system with two or more variableparameters is in chaotic motionare predicted. |
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| Keywords: | nonlinearity vibration isolation Lyapunov exponents chaos |
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