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.
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.
出处
《佳木斯大学学报（自然科学版）》
CAS
2010年第2期268-270,287,共4页
Journal of Jiamusi University：Natural Science Edition
关键词
路径积分
概率密度
非线性随机动力系统
混沌响应
path integration
probability density
nonlinear stochastic dynamical systems
chaotic response
