| 路径积分法在一类随机动力系统中的应用 |
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| 引用本文： | 沈焰焰. 路径积分法在一类随机动力系统中的应用[J]. 成都大学学报(自然科学版), 2011, 30(3): 220-222 |
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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一类非线性动力系统的混沌响应,计算lévy噪声激励的混沌系统的瞬时概率密度等概率性质,并讨论lévy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 |
Application of Path Integration Method in Nonlinear Stochastic Dynamics |
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| SHEN Yanyan. Application of Path Integration Method in Nonlinear Stochastic Dynamics[J]. Journal of Chengdu University (Natural Science), 2011, 30(3): 220-222 |
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| Authors: | SHEN Yanyan |
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| Affiliation: | SHEN Yanyan(Fujian Communication Vocational Technology College,Fuzhou 350007,China) |
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| Abstract: | Path integration method was used to study the chaotic response of the nonlinear dynamical systems and the probabilistic nature such as the instantaneous probability density of chaotic systems with the lévy noise was calculated.Then the impacts of lévy noise on chaotic movement of the deterministic systems were discussed.The findings show that evolution of probability density of chaotic systems can be used to character structure feature of such chaotic attractor. |
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| Keywords: | path integration probability density nonlinear stochastic dynamical systems |
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