构造Birkhoff函数（组）的待定张量法

物理学报

, ,

崔金超, 宋端, 郭永新. 2012: 构造Birkhoff函数（组）的待定张量法, 物理学报, 61(24): 316-322.

引用本文:

崔金超, 宋端, 郭永新. 2012: 构造Birkhoff函数（组）的待定张量法, 物理学报, 61(24): 316-322.

2012: The method of undetermined tensor for constructing Birkhoffian functions, Acta Physica Sinica, 61(24): 316-322.

Citation:

2012: The method of undetermined tensor for constructing Birkhoffian functions, Acta Physica Sinica, 61(24): 316-322.

The method of undetermined tensor for constructing Birkhoffian functions

摘要: 研究力学系统Birkhoff函数（组）的构造方法．基于自伴随条件和线性偏微分方程组的可积性条件给出构造Birkhoff函数（组）的待定张量法．举例说明结果的应用．
- Birkhoff力学 /
- 自伴随条件 /
- Birkhoff函数(组) /
- 待定张量法
Abstract: The method of constructing Birkhoffian and Birkhoffian funcations of mechanical system is studied. Based on the conditions of self-adjointness and integrability conditions of linear partial differential equations, a method of undetermined tensor for constructing Birkhoffian and Birkhoffian funcations of mechanical systems is given. Two examples are given to illustrate the application of the results.