The homology classes of large-scale periodic orbits on nonlinear space

被引：0
|
作者：
Gu Zhiming
机构：
[1] Nanjing University of Aeronautics and Astronautics,
来源：
Applied Mathematics and Mechanics | 1998年 / 19卷 / 10期
关键词：
larg-scale periodic motion; homology classes; Morse inequalities;
D O I：
10.1007/BF02457959
中图分类号：
学科分类号：
摘要：
The large-scale periodic orbits of a nonlinear mechanics system can represent the homology classes, 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.
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页码：991 / 996
页数：5
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