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陀螺系统的整体结构
引用本文:许克峰,黄克累.陀螺系统的整体结构[J].北京航空航天大学学报,1994,20(3):330-335.
作者姓名:许克峰  黄克累
作者单位:北京航空航天大学应用数理系
摘    要:对陀螺系统做出大范围的几何描述,得出当陀螺项为闭形式时陀螺系统为Hamilton系统的结论,并在这一条件下讨论了陀螺项的全局分类问题。

关 键 词:陀螺理论  辛结构  陀螺系统

THE GLOBAL STRUCTURES OF GYROSCOPIC SYSTEMS
Xu Kefeng,Huang Kelei,Lu Qishao.THE GLOBAL STRUCTURES OF GYROSCOPIC SYSTEMS[J].Journal of Beijing University of Aeronautics and Astronautics,1994,20(3):330-335.
Authors:Xu Kefeng  Huang Kelei  Lu Qishao
Institution:Beijing University of Aeronautics and Astronautics. Dept. of Applied Mathematics and Physics
Abstract:The geometrical structures of gyroscopic systems are described globally. The conclusionthat gyroscopic systems are Hamiltonian systems when their gyroscopic terms are closedforms is drawn. and the global classification of gyroscopic terms is discussed under the samecondition.
Keywords:gyroscopic theory: systems: symplectic structures: cohomology: Hamiltonlan system: gyroscopic system  
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