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NORMAL FORMS FOR SINGULARITIES OF ONE DIMENSIONAL HOLOMORPHIC VECTOR FIELDS

  • Identification data

    Identifier: imarina:6390451
    Authors:
    Garijo AGasull AJarque 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:

    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
    Link to the original source: https://ejde.math.txstate.edu/
    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
  • Keywords:

    Analysis,Mathematics,Mathematics, Applied
    Normal form
    Meromorphic vector field
    Holomorphic vector field
    normal form
    holomorphic vector field
    Mathematics, applied
    Mathematics
    Matemática / probabilidade e estatística
    Interdisciplinar
    Ensino
    Engenharias iv
    Ciências agrárias i
    Ciência da computação
    Astronomia / física
    Analysis
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