Meinikov Function and Poincaré Map

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Xu Zhen-yuan, Li Li. Meinikov Function and Poincaré Map[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1055-1063.

Citation:

Xu Zhen-yuan, Li Li. Meinikov Function and Poincaré Map[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1055-1063.

Citation:

Xu Zhen-yuan, Li Li. Meinikov Function and Poincaré Map[J]. Applied Mathematics and Mechanics, 1988, 9(12): 1055-1063.

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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