Autor según el artículo: Garijo A; Gasull A; Jarque X

Departamento: Enginyeria Informàtica i Matemàtiques

Autor/es de la URV: Garijo Real, Antonio

Palabras clave: Normal form Meromorphic vector field Holomorphic vector field normal form holomorphic vector field

Resumen: 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.

Áreas temáticas: Mathematics, applied Mathematics Matemática / probabilidade e estatística Interdisciplinar Ensino Engenharias iv Ciências agrárias i Ciência da computação Astronomia / física Analysis

Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/

ISSN: 1072-6691

Direcció de correo del autor: antonio.garijo@urv.cat

Identificador del autor: 0000-0002-1503-7514

Fecha de alta del registro: 2023-05-21

Versión del articulo depositado: info:eu-repo/semantics/publishedVersion

Enlace a la fuente original: https://ejde.math.txstate.edu/

URL Documento de licencia: http://repositori.urv.cat/ca/proteccio-de-dades/

Referencia al articulo segun fuente origial: Electronic Journal Of Differential Equations. 2004 (122): 1-7

Referencia de l'ítem segons les normes 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

Entidad: Universitat Rovira i Virgili

Año de publicación de la revista: 2004

Tipo de publicación: Journal Publications