Keywords:
Path integration; Probability density; Nonlinear stochastic dynamical systems
路径积分;概率密度;非线性随机动力系统
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.
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。