A normal form algorithm for regular differential chains
type: Item
instance of: scholarly article
title: A normal form algorithm for regular differential chains
zbMATH Open document ID: 1218.68202
author: François Boulier
author: François Lemaire
published in: Mathematics in Computer Science
publication date: 2011-06-08T00:00:00Z
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 12H05
Mathematics Subject Classification ID: 68-04
zbMATH DE Number: 5905251
zbMATH Keywords: computer algebra
zbMATH Keywords: differential algebra
zbMATH Keywords: normal form
zbMATH Keywords: regular differential chain
zbMATH Keywords: characteristic set
zbMATH Keywords: power series
describes a project that uses: Maple
describes a project that uses: DifferentialAlgebra
describes a project that uses: Epsilon
MaRDI profile type: Publication
full work available at URL: s11786-010-0060-3
OpenAlex ID: W2061258302
cites work: On the theories of triangular sets
cites work: Computing representations for radicals of finitely generated differential ideals
cites work: Computing canonical representatives of regular differential ideals
cites work: Q3568131
cites work: Efficient computation of zero-dimensional Gröbner bases by change of ordering
cites work: Factorization-free decomposition algorithms in differential algebra
cites work: Q4425662
cites work: Q4660661
cites work: On the translation of languages from left to right
cites work: Q5680222
cites work: Q4352810
cites work: Q5795628
cites work: Specializations in Differential Algebra
cites work: Contribution to the Picard-Vessiot Theory of Homogeneous Linear Differential Equations
cites work: Abstract Differential Algebra and the Analytic Case
cites work: Abstract Differential Algebra and the Analytic Case. II
cites work: Q3153351
cites work: Q3249822
DOI: 10.1007/S11786-010-0060-3
Recommended article: An algorithm for computing a new normal form for dynamical systems
Recommended article: A normal form for pure differential algebraic systems
Recommended article: An Algorithm for Transforming Regular Chain into Normal Chain
Recommended article: Normal forms for difference and differential systems
Recommended article: An Algorithm for Construction of Normal Forms
Recommended article: Q4234201
Recommended article: An algorithm computing the regular formal solutions to a system of linear differential equations
Recommended article: Q4252195
Recommended article: Computation of normal form coefficients of cycle bifurcations of maps by algorithmic differentiation
Recommended article: An algorithm for providing the normal forms of spatial quasi-homogeneous polynomial differential systems
description: scientific article; zbMATH DE number 5905251