| Fokker Planck方程的守恒量 |
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| 引用本文： | 秦茂昌,梅凤翔,许学军.Fokker Planck方程的守恒量[J].动力学与控制学报,2005,3(1):7-9. |
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| 作者姓名： | 秦茂昌 梅凤翔 许学军 |
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| 作者单位： | 1. 北京理工大学理学院力学系,北京,100081
2. 浙江师范大学物理系,金华,321004 |
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| 摘 要： | 利用系统运动方程的线性化方程及其伴随方程的相互关系，以及散度表达式在全Euler算子作用下为零这一特性，通过引进守恒量乘子来求得运动系统的守恒量．该方法不需要运动系统的Lagrange函数．以Fokker-Planck方程为例，利用该方法可以很容易给出它的无穷多守恒量．
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| 关 键 词： | Fokker-Planck方程 守恒量 伴随系统 |
| 收稿时间： | 2004/10/29 0:00:00 |
| 修稿时间： | 2004年10月29 |
The conserved quantities of fokker planck equation |
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| Qin Maochang,Mei Fengxiang and Xu Xuejun.The conserved quantities of fokker planck equation[J].Journal of Dynamics and Control,2005,3(1):7-9. |
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| Authors: | Qin Maochang Mei Fengxiang and Xu Xuejun |
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| Abstract: | By using the relationship between the adjoint equation and the linearized equation of the motion system, and by using the well-known result that divergence expressions are characterized by annihilation under the full Euler operator, a multiplier method was adopted to construct the conserved quantities of the motion equations. The Lagrange function of the motion system is not necessary for this method. The Fokker-Planck equation was given to illustrate the application of this method, and its infinite conserved quantities can be obtained easily by using this method. |
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| Keywords: | Fokker-Planck equation conserved quantity adjoint system |
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