Calculation of first integrals of a two-dimensional ODE system near a degenerate stationary point by computer algebra tools
type: Item
instance of: scholarly article
title: Calculation of first integrals of a two-dimensional ODE system near a degenerate stationary point by computer algebra tools
zbMATH Open document ID: 1248.65072
DOI: 10.1134/S0361768811020058
author: Valery G. Romanovski
author: Victor F. Edneral
published in: Programming and Computer Software
publication date: 2012-03-12T00:00:00Z
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65P10
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37M15
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 6013757
zbMATH Keywords: local integrability
zbMATH Keywords: power geometry method
zbMATH Keywords: two-dimensional system
zbMATH Keywords: global integrability
zbMATH Keywords: computer algebra tools
Wikidata QID: Q114847392
describes a project that uses: SINGULAR
describes a project that uses: primdec
MaRDI profile type: Publication
cites work: Q5679142
cites work: SINGULAR
cites work: An Algorithm for Construction of Normal Forms
cites work: The Center and Cyclicity Problems
cites work: Modular algorithms for computing Gröbner bases.
cites work: Isochronicity of analytic systems via Urabe's criterion
cites work: Gröbner bases and primary decomposition of polynomial ideals
cites work: Normalizable, integrable, and linearizable saddle points for complex quadratic systems in \(\mathbb{C}^2\)
full work available at URL: s0361768811020058
OpenAlex ID: W2081151351
description: scientific article; zbMATH DE number 6013757