Author, as appears in the article.: Garijo A; Gasull A; Jarque X
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: Garijo Real, Antonio
Keywords: Normal form Meromorphic vector field Holomorphic vector field normal form holomorphic vector field
Abstract: We study the normal form of the ordinary differential equation ż = f(z), z ∈ ℂ, in a neighbourhood of a point p ∈ ℂ, where f is a one-dimensional holomorphic function in a punctured neighbourhood of p. Our results include all cases except when p is an essential singularity. We treat all the other situations, namely when p is a regular point, a pole or a zero of order n. Our approach is based on a formula that uses the flow associated with the differential equation to search for the change of variables that gives the normal form.
Thematic Areas: Mathematics, applied Mathematics Matemática / probabilidade e estatística Interdisciplinar Ensino Engenharias iv Ciências agrárias i Ciência da computação Astronomia / física Analysis
licence for use: https://creativecommons.org/licenses/by/3.0/es/
ISSN: 1072-6691
Author's mail: antonio.garijo@urv.cat
Author identifier: 0000-0002-1503-7514
Record's date: 2023-05-21
Papper version: info:eu-repo/semantics/publishedVersion
Papper original source: Electronic Journal Of Differential Equations. 2004 (122): 1-7
APA: Garijo A; Gasull A; Jarque X (2004). NORMAL FORMS FOR SINGULARITIES OF ONE DIMENSIONAL HOLOMORPHIC VECTOR FIELDS. Electronic Journal Of Differential Equations, 2004(122), 1-7
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Entity: Universitat Rovira i Virgili
Journal publication year: 2004
Publication Type: Journal Publications
Repositori URV