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[1] 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.
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References
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Communicated by Dai Shi-qiang
Proiect Supported by the Science Fund of the Chinese Academy of Sciences.
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Shi-dong, W., Ji-bin, L. Fourier series of rational fractions of Jacobian elliptic functions. Appl Math Mech 9, 541–556 (1988). https://doi.org/10.1007/BF02465410
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DOI: https://doi.org/10.1007/BF02465410