Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (5): 427-431.

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SOME PHENOMENA FOR WEAK SPRING DUFFING EQUATION IN SUBHARMONIC AND ULTRASUBHARMONIC REGION

Xu Zhen-yuan1, Liu Zeng-rong2   

  1. 1. Department of Mathematics, Anhui Huainan Normal College, Huainan;
    2. Anhui University, Hefei
  • Received:1985-10-20 Online:1987-05-18 Published:1987-05-18

Abstract: In this paper the situation in which weak spring Duffing equation gets into the chaos on account of small perturbation is discussed with Melnikov-Holmes’ method, and some phenomena in which the different subharmonic and the ultrasubharmonic coexist with the chaos are discovered.

Key words: nonlinear flow, integral transform, analytical solution, well test analysis

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