物理学报
物理學報
물이학보
2013年
9期
33-36
,共4页
Birkhoff系统%Hojman方法%广义Hojman方法%循环积分
Birkhoff繫統%Hojman方法%廣義Hojman方法%循環積分
Birkhoff계통%Hojman방법%엄의Hojman방법%순배적분
Birkhoffian systems%Hojman’s method%General Hojman’s method%cyclic integral
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.
研究第一積分、Hojman方法及Birkhoff方程之間的內在聯繫. Hojman方法構造的Birkhoff函數(組)滿足的一箇特定關繫,對此關繫加以分析得到更為一般的廣義Hojman方法.再將此關繫與Birkhoff方程相結閤,導齣Birkhoff繫統Hojman意義下的循環積分.舉例說明結論的應用.
연구제일적분、Hojman방법급Birkhoff방정지간적내재련계. Hojman방법구조적Birkhoff함수(조)만족적일개특정관계,대차관계가이분석득도경위일반적엄의Hojman방법.재장차관계여Birkhoff방정상결합,도출Birkhoff계통Hojman의의하적순배적분.거례설명결론적응용.
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.
