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路径积分法研究一类非线性动力系统的混沌响应

Study on chaotic response of a class of nonlinear dynamical system by path integral method

Study on Dynamical System / 2020,2(1): 1-8 / 2020-05-12 2191 3643

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• Authors: 安俊杰     
• Information:

  湖南科技职业学院，长沙

• Keywords: 路径积分；概率密度；非线性随机动力系统
• Path integration; Probability density; Nonlinear stochastic dynamical systems
• Abstract: 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。
• 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.
• DOI: https://doi.org/10.35534/sds.0201001c
• Cite: 安俊杰．路径积分法研究一类非线性动力系统的混沌响应［J］．动力系统研究，2020，2（1）：1-8．