Symbolic computation of normal forms for nonlinear Hamiltonian systems
type: Item
instance of: scholarly article
title: Symbolic computation of normal forms for nonlinear Hamiltonian systems
zbMATH Open document ID: 0767.58012
DOI: 10.1016/0377-0427(92)90210-O
author: Max Ashkenazi
author: Shui-Nee Chow
author: Byron Drachman
published in: Journal of Computational and Applied Mathematics
publication date: 1993-01-16T00:00:00Z
review text: The aim of this paper is to present a method for computing the normal form of a time-independent nonlinear real Hamiltonian system with an equilibrium point at the origin. A program using the symbolic manipulator MACSYMA is used.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 37G05
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 89596
zbMATH Keywords: symbolic computation
zbMATH Keywords: normal form
zbMATH Keywords: Hamiltonian system
reviewed by: B. Konopelchenko
describes a project that uses: MACSYMA
MaRDI profile type: Publication
cites work: Q4174811
cites work: Manifolds, tensor analysis, and applications.
cites work: Q4148103
cites work: Computation of normal forms
cites work: Versal deformations of linear Hamiltonian systems
cites work: The stability of the Lagrange triangular point and a theorem of Arnold
cites work: Q3706491
cites work: Perturbation methods, bifurcation theory and computer algebra
cites work: Determinacy of degenerate equilibria with linear part \(x'=y\), \(y'=0\) using MACSYMA
full work available at URL: 0377-0427(92)90210-o
OpenAlex ID: W1965662420
description: scientific article; zbMATH DE number 89596