Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (6): 541-556.

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FOURIER SERIES OF RATIONAL FRACTIONS OF JACOBIAN ELLIPTIC FUNCTIONS

Wan Shi-dong1, Li Ji-bin2   

  1. 1. Yunnan University, Kunming;
    2. Kunming Engineering Institute, Kunming
  • Received:1986-11-29 Online:1988-06-18 Published:1988-06-18
  • Supported by:

    Project Supported by the Science Fund of the Chinese Academy of Sciences

Abstract: In this paper more than ninety of the Fourier series of rational fractions of Jacobian elliptic functions sn(u.k), cn(u,k) and dn(u,k) are listed, which cannot be found in the , handbook and Ref. [2]. For the detection and study of chaotic behavior and subharmonic bifurcations in a two-dimensional Hamiltonian system subject to external periodic forcing by Melnikov's method, and for study of some problems of physical science and engineering, these formulas can be used.

Key words: turning point, multiple scales, boundary value problem

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