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一类广义Birkhoff系统的广义正则变换
引用本文:李彦敏,梅凤翔.一类广义Birkhoff系统的广义正则变换[J].物理学报,2010,59(8):5219-5222.
作者姓名:李彦敏  梅凤翔
作者单位:(1)北京理工大学宇航学院力学系,北京 100081; (2)商丘师范学院物理与信息工程系,商丘 476000
基金项目:国家自然科学基金(批准号: 10772025, 10932002, 10972127),河南省自然科学基金(批准号: 082300410330,082300410370,102300410144)资助的课题.
摘    要:研究一类广义Birkhoff系统的广义正则变换.建立这类广义Birkhoff系统的运动微分方程,得到了该系统的广义正则变换以及保持广义正则变换的条件.最后,举例说明结果的应用.

关 键 词:广义Birkhoff系统  广义正则变换  生成函数
收稿时间:2009-09-26
修稿时间:1/5/2010 12:00:00 AM

Generalized canonical transformations of a kind of generalized Birkhoff systems
Li Yan-Min,Mei Feng-Xiang.Generalized canonical transformations of a kind of generalized Birkhoff systems[J].Acta Physica Sinica,2010,59(8):5219-5222.
Authors:Li Yan-Min  Mei Feng-Xiang
Institution:Department of Physics and Information Engineering, Shangqiu Normal College, Shangqiu 476000,China;Department of Applied Mechanics, School of Aerospace, Beijing Institute of Technology, Beijing 100081,china
Abstract:The generalized canonical transformations of a kind of generalized Birkhoff systems are studied in this paper. The differential equations of motion of the generalized Birkhoff systems are estallished. The condition under which the transformations of the system are canonical is obtained. An example is given to illustrate the application of the result.
Keywords:generalized Birkhoff system  generalized canonical transformation  generating function
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