非线性空间上的大范围周期轨道之同调类  

The Homology Classes of Large_Scale Periodic Orbits on Nonlinear Space

作　　者：古志鸣[1] 

机构地区：[1]南京航空航天大学理学院

出　　处：《应用数学和力学》1998年第10期915-920,共6页Applied Mathematics and Mechanics

摘　　要：非线性力学系统的大范围周期轨道可以代表等能曲面上的同调类，这些同调类一般非平凡。The large_scale periodic orbits of a nonlinear mechanics system can represent the homology clas￣ses, which are generally non_trivial, of the energy level surface and the topology properties of an energy level surface are determined by the that of the phase space and the large_scale properties of the Hamiltonian. These properties are used for estimate of the rank of the first homology group of energy level surfaces in the paper.

关 键 词：大范围周期运动 同调类 非线性空间 力学系统 

分 类 号：O175.12[理学—数学] O189.22[理学—基础数学]