Articles producció científica> Enginyeria Informàtica i Matemàtiques

On the separatrix graph of a rational vector field on the Riemann sphere

  • Datos identificativos

    Identificador: imarina:9162283
    Autores:
    Dias KGarijo A
    Resumen:
    © 2021 Elsevier Inc. We consider the rational flow ξR(z)=R(z)(d/dz) where R is given by the quotient of two polynomials without common factors on the Riemann sphere. The separatrix graph ΓR is the boundary between trajectories with different properties. We characterize the properties of a planar directed graph to be the separatrix graph of a rational vector field on the Riemann sphere.
  • Otros:

    Autor según el artículo: Dias K; Garijo A
    Departamento: Enginyeria Informàtica i Matemàtiques
    Autor/es de la URV: Garijo Real, Antonio
    Palabras clave: Vector fields Separatrix graph Holomorphic foliations
    Resumen: © 2021 Elsevier Inc. We consider the rational flow ξR(z)=R(z)(d/dz) where R is given by the quotient of two polynomials without common factors on the Riemann sphere. The separatrix graph ΓR is the boundary between trajectories with different properties. We characterize the properties of a planar directed graph to be the separatrix graph of a rational vector field on the Riemann sphere.
    Áreas temáticas: Mathematics Matemática / probabilidade e estatística Interdisciplinar Engenharias iii Ciências agrárias i Ciência da computação Astronomia / física Applied mathematics Analysis
    Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
    Direcció de correo del autor: antonio.garijo@urv.cat
    Identificador del autor: 0000-0002-1503-7514
    Fecha de alta del registro: 2024-07-27
    Versión del articulo depositado: info:eu-repo/semantics/acceptedVersion
    Enlace a la fuente original: https://www.sciencedirect.com/science/article/abs/pii/S0022039621000917
    URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referencia al articulo segun fuente origial: Journal Of Differential Equations. 282 541-565
    Referencia de l'ítem segons les normes APA: Dias K; Garijo A (2021). On the separatrix graph of a rational vector field on the Riemann sphere. Journal Of Differential Equations, 282(), 541-565. DOI: 10.1016/j.jde.2021.02.021
    DOI del artículo: 10.1016/j.jde.2021.02.021
    Entidad: Universitat Rovira i Virgili
    Año de publicación de la revista: 2021
    Tipo de publicación: Journal Publications
  • Palabras clave:

    Analysis,Applied Mathematics,Mathematics
    Vector fields
    Separatrix graph
    Holomorphic foliations
    Mathematics
    Matemática / probabilidade e estatística
    Interdisciplinar
    Engenharias iii
    Ciências agrárias i
    Ciência da computação
    Astronomia / física
    Applied mathematics
    Analysis
  • Documentos:

  • Cerca a google

    Search to google scholar