| 路径积分法在非线性随机动力中的应用 |
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| 引用本文： | 沈焰焰.路径积分法在非线性随机动力中的应用[J].佳木斯工学院学报,2010(2):268-270,287. |
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| 作者姓名： | 沈焰焰 |
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| 作者单位： | 福建交通职业技术学院,福建福州350007 |
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| 摘 要： | 利用路径积分法研究非线性动力系统的混沌响应，计算了高斯随机激励的混沌系统的瞬时概率密度等概率性质，并讨论高斯噪声对确定性系统混沌运动的影响．研究表明在噪声强度一定的情况下，其随机系统的概率密度的演化可以用来刻画该混沌吸引算子的结构特征．
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| 关 键 词： | 路径积分 概率密度 非线性随机动力系统 混沌响应 |
Application of Path Integration in Nonlinear Stochastic Dynamics |
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| Authors: | SHEN Yan-yan |
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| Affiliation: | SHEN Yan-yan (Fujian Communication Technology College, Fajian, 350007, China) |
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| Abstract: | The path integration method was used to study the chaotic response of the nonlinear dynamical systems. The property of the probability of the chaotic systems with the Gauss noise such as the instantaneous probability density is calculated. The affection of Gauss noise to chaotic movement of the deterministic systems was discussed. The probability density function of the stochastic systems can be used to characterize the attractor for the nonlinear oscillator. |
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| Keywords: | path integration probability density nonlinear stochastic dynamical systems chaotic response |
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