Articles producció científicaEnginyeria Informàtica i Matemàtiques

NORMAL FORMS FOR SINGULARITIES OF ONE DIMENSIONAL HOLOMORPHIC VECTOR FIELDS

  • Identification data

    Identifier:  imarina:6390451
    Handle: https://hdl.handle.net/20.500.11797/imarina6390451
    Authors:  Garijo, A; Gasull, A; Jarque, X
    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.

  • Others:

    Link to the original source: https://ejde.math.txstate.edu/
    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
    Paper original source: Electronic Journal Of Differential Equations. 2004 (122): 1-7
    Journal publication year: 2004-10-15
    Entity: Universitat Rovira i Virgili
    Paper version: info:eu-repo/semantics/publishedVersion
    Record's date: 2026-05-09
    URV's Author/s: Garijo Real, Antonio
    Department: Enginyeria Informàtica i Matemàtiques
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Publication Type: Journal Publications
    ISSN: 1072-6691
    Author, as appears in the article.: Garijo, A; Gasull, A; Jarque, X
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Thematic Areas: Mathematics, applied, Mathematics, Interdisciplinar, Ensino, Ciências agrárias i, Analysis
    Author's mail: antonio.garijo@urv.cat, antonio.garijo@urv.cat

  • Keywords:

    Normal form
    Meromorphic vector field
    Holomorphic vector field
    Analysis
    Mathematics
    Applied
    Interdisciplinar
    Ensino
    Ciências agrárias i

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