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Applied Mathematics and Mechanics

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

Melnikov function and Poincaré map

  • Xu Zhen-yuan
  • Li Li
Article
  • 59 Downloads

Abstract

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.

Keywords

Mathematical Modeling Manifold Industrial Mathematic Explicit Solution Unstable Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Melnikov, V. K., On the stability of the center for time periodic perturbations,Trais Moscow Math. Soc.,12 (1963), 1–57.Google Scholar
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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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