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

  • Dades identificatives

    Identificador: imarina:9162283
    Autors:
    Dias KGarijo A
    Resum:
    © 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.
  • Altres:

    Autor segons l'article: Dias K; Garijo A
    Departament: Enginyeria Informàtica i Matemàtiques
    Autor/s de la URV: Garijo Real, Antonio
    Paraules clau: Vector fields Separatrix graph Holomorphic foliations
    Resum: © 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.
    Àrees temàtiques: Mathematics Matemática / probabilidade e estatística Interdisciplinar Engenharias iii Ciências agrárias i Ciência da computação Astronomia / física Applied mathematics Analysis
    Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
    Adreça de correu electrònic de l'autor: antonio.garijo@urv.cat
    Identificador de l'autor: 0000-0002-1503-7514
    Data d'alta del registre: 2024-07-27
    Versió de l'article dipositat: info:eu-repo/semantics/acceptedVersion
    Enllaç font original: https://www.sciencedirect.com/science/article/abs/pii/S0022039621000917
    URL Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
    Referència a l'article segons font original: Journal Of Differential Equations. 282 541-565
    Referència 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 de l'article: 10.1016/j.jde.2021.02.021
    Entitat: Universitat Rovira i Virgili
    Any de publicació de la revista: 2021
    Tipus de publicació: Journal Publications
  • Paraules clau:

    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
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