A Newton scheme for convervatively singular systems
type: Item
instance of: scholarly article
title: A Newton scheme for convervatively singular systems
zbMATH Open document ID: 0605.65047
DOI: 10.1016/0022-247X(86)90050-8
author: Daniel Sweet
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: A weakly nonlinear periodic differential equation possessing a first integral is considered. Such a system will have a family of periodic solutions corresponding to a solution curve of the determining equations. The special nature of the determining equations is exploited to construct a Newton iteration scheme converging to the solution curve. The results are illustrated on the example of Hamiltonian systems which contain resonant elliptic behavior.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 37-XX
Mathematics Subject Classification ID: 70H05
zbMATH DE Number: 3978296
zbMATH Keywords: weakly nonlinear periodic differential equation
zbMATH Keywords: periodic solutions
zbMATH Keywords: Newton iteration scheme
zbMATH Keywords: Hamiltonian systems
reviewed by: Ştefan Mirică
MaRDI profile type: Publication
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full work available at URL: 0022-247x(86)90050-8
OpenAlex ID: W2094417400
description: scientific article; zbMATH DE number 3978296