Applied Mathematics and Mechanics

, Volume 9, Issue 12, pp 1121–1129 | Cite as

Melnikov function and Poincaré map

  • Xu Zhen-yuan
  • Li Li


In this paper we give the relationship between Melnikov function and Poincaré map. and a new proof for Melnikov's method. The advantage of our paper is to give a more explicit solution and to make Melnikov function for the subharmonics bifurcation and Melnikov function which the stable manifolds and unstable manifolds intersect transversely into a formula.


Mathematical Modeling Manifold Industrial Mathematic Explicit Solution Unstable Manifold 
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Copyright information

© Shanghai University of Technology (SUT) 1988

Authors and Affiliations

  • Xu Zhen-yuan
    • 1
  • Li Li
    • 2
  1. 1.Wuxi Institute of Light IndustryWuxi
  2. 2.Beijing University of TechnologyBeijing

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