FOURIER SERIES OF RATIONAL FRACTIONS OF JACOBIAN ELLIPTIC FUNCTIONS

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

FOURIER SERIES OF RATIONAL FRACTIONS OF JACOBIAN ELLIPTIC FUNCTIONS

万世栋¹, 李继彬²

1. Yunnan University, Kunming;
2. Kunming Engineering Institute, Kunming

收稿日期:1986-11-29 出版日期:1988-06-18 发布日期:1988-06-18
基金资助:
Project Supported by the Science Fund of the Chinese Academy of Sciences

FOURIER SERIES OF RATIONAL FRACTIONS OF JACOBIAN ELLIPTIC FUNCTIONS

Wan Shi-dong¹, Li Ji-bin²

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

摘要/Abstract

摘要： 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.

关键词: turning point, multiple scales, boundary value problem

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

万世栋;李继彬. FOURIER SERIES OF RATIONAL FRACTIONS OF JACOBIAN ELLIPTIC FUNCTIONS[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(6): 541-556.

Wan Shi-dong;Li Ji-bin. FOURIER SERIES OF RATIONAL FRACTIONS OF JACOBIAN ELLIPTIC FUNCTIONS[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(6): 541-556.

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FOURIER SERIES OF RATIONAL FRACTIONS OF JACOBIAN ELLIPTIC FUNCTIONS

FOURIER SERIES OF RATIONAL FRACTIONS OF JACOBIAN ELLIPTIC FUNCTIONS

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