非完整系统在Poisson白噪声下的广义F-P方程  

Generalized Fokker-Planck Equation of Nonholonomic System Excited by Poisson White Noise

作　　者：栾江宁[1] 尚玫[2] 

机构地区：[1]内蒙古医学院公共教育学院,内蒙古呼和浩特010059 [2]北京理工大学理学院,北京100081

出　　处：《辽宁师范大学学报（自然科学版）》2006年第2期172-175,共4页Journal of Liaoning Normal University:Natural Science Edition

摘　　要：讨论非完整系统响应的概率密度函数,首先给出非完整系统在Poisson白噪声下的概率密度函数所满足的广义Fokker-Planck方程,然后引入扰动法,以激励为高斯白噪声下的F-P-K方程的精确的平稳解为基本解,利用扰动方法来获得激励为Poisson白噪声时的各次修正项.In this paper, we study the equation governing the evolution of the transition probability density function of stochastic nonholonomic system. Firstly, we give the generalized Fokker-Planck equation of nonholonomic system excited by Poisson white noise. Secondly, we choose the solution of F-P-K equation of nonholonomic system excited by Gauss white noise as an exact result. Then, by virtue of disturbance method, we discuss the probability density function of nonholonomic system excited by Poisson white noise.

关 键 词：非完整系统 概率密度函数 Gauss白噪声 Poisson白噪声 

分 类 号：O413.2[理学—理论物理]