Abstract
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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Communicated by Zhang Hongqing
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Zhiming, G. The homology classes of large-scale periodic orbits on nonlinear space. Appl Math Mech 19, 991–996 (1998). https://doi.org/10.1007/BF02457959
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DOI: https://doi.org/10.1007/BF02457959