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Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (12): 1121-1129.

• 论文 • 上一篇    下一篇

MELNIKOV FUNCTION AND POINCARÉ MAP

徐振源1, 李骊2   

  • 收稿日期:1987-07-07 出版日期:1988-12-18 发布日期:1988-12-18

MELNIKOV FUNCTION AND POINCARÉ MAP

Xu Zhen-yuan1, Li Li2   

  1. 1. Wuxi Institute of Light Industry, Wuxi;
    2. Beijing University of Technology, Beijing
  • Received:1987-07-07 Online:1988-12-18 Published:1988-12-18

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摘要： In this paper we give the relationship between Melnikov function and Poincare 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 Melnikoy function which the stable manifolds and unstable manifolds intersect transversely into a formula.

Abstract: In this paper we give the relationship between Melnikov function and Poincare 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 Melnikoy function which the stable manifolds and unstable manifolds intersect transversely into a formula.

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