构造Birkhoff表示的广义Hojman方法  

General Hojman’s method for the construction of Birkhoffian representation

作　　者：崔金超[1] 赵喆[2] 郭永新[1,3] 

机构地区：[1]北京理工大学宇航学院,北京100081 [2]沈阳药科大学医疗器械学院,沈阳110016 [3]辽宁大学物理学院,沈阳110036

出　　处：《物理学报》2013年第9期33-36,共4页Acta Physica Sinica

基　　金：国家自然科学基金(批准号: 10932002; 11172120; 11202090; 10972127)资助的课题~~

摘　　要：研究第一积分、Hojman方法及Birkhoff方程之间的内在联系. Hojman方法构造的Birkhoff函数(组)满足的一个特定关系,对此关系加以分析得到更为一般的广义Hojman方法.再将此关系与Birkhoff方程相结合,导出Birkhoff系统Hojman意义下的循环积分.举例说明结论的应用.We have investigated the internal relation among the first integral, Hojman’s method and Birkhoff’s equations. There is a special equivalent relationship between Birkhoffian and Birkhoffian functions constructed by Hojman’s method, and from this we can derive a more general form of Hojman’s method. Then, combining the special equivalent relationship and Birkhoff’s equations, we can derive the cyclic integral in Birkhoffian sense. An example is given to illustrate the application of the results.

关 键 词：BIRKHOFF系统 Hojman方法 广义Hojman方法 循环积分 

分 类 号：O31[理学—一般力学与力学基础]