Gu Zhiming. The Homology Classes of Large-Scale Periodic Orbits on Nonlinear Space[J]. Applied Mathematics and Mechanics, 1998, 19(10): 915-920.
Citation: Gu Zhiming. The Homology Classes of Large-Scale Periodic Orbits on Nonlinear Space[J]. Applied Mathematics and Mechanics, 1998, 19(10): 915-920.

The Homology Classes of Large-Scale Periodic Orbits on Nonlinear Space

  • Received Date: 1996-10-07
  • Rev Recd Date: 1997-09-29
  • Publish Date: 1998-10-15
  • 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 first homology group of energy level surfaces in the paper.
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