Automated Fourier series expansions for elliptic functions
type: Item
instance of: scholarly article
title: Automated Fourier series expansions for elliptic functions
zbMATH Open document ID: 0811.33014
DOI: 10.1016/0093-6413(94)90061-2
author: Alberto Abad
author: Antonio Elipe
author: Miguel Vallejo
published in: Mechanics Research Communications
publication date: 1995-04-04T00:00:00Z
review text: There exist dynamical systems consisting of perturbations superimposed on solvable (in the sense of E. T. Whitthaker) problems. Most solvable problems require elliptic functions. For qualitative solutions of such dynamical systems, this paper proposes an approximation of the unperturbed solution by a Fourier series expansion of the amplitude. It also provides an efficient way for determining its coefficients.
Mathematics Subject Classification ID: 33E05
Mathematics Subject Classification ID: 42A16
Mathematics Subject Classification ID: 65D20
zbMATH DE Number: 699155
zbMATH Keywords: Jacobian functions
zbMATH Keywords: theta-functions
zbMATH Keywords: Cauchy's theorem
zbMATH Keywords: elliptic functions
zbMATH Keywords: Fourier series expansion
reviewed by: Yasuhiro Kobayashi
MaRDI profile type: Publication
full work available at URL: 0093-6413(94)90061-2
OpenAlex ID: W2032889710
description: scientific article; zbMATH DE number 699155