Articles producció científicaEnginyeria Informàtica i Matemàtiques

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

  • Identification data

    Identifier:  imarina:9162283
    Handle: https://hdl.handle.net/20.500.11797/imarina9162283
    Authors:  Dias, K; Garijo, A
    Abstract:
    © 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.

  • Others:

    Link to the original source: https://www.sciencedirect.com/science/article/abs/pii/S0022039621000917
    Funding program action: Proyectos I+D Generación de Conocimiento
    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
    Paper original source: Journal Of Differential Equations. 282 541-565
    Article's DOI: 10.1016/j.jde.2021.02.021
    Funding program: Herramientas para el análisis de diagramas de bifurcación en sistemas dinámicos
    Journal publication year: 2021-05-05
    Entity: Universitat Rovira i Virgili
    Paper version: info:eu-repo/semantics/acceptedVersion
    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/
    Acronym: ATBiD
    Publication Type: Journal Publications
    Author, as appears in the article.: Dias, K; Garijo, A
    Project code: PID2020-118281GB-C33
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Thematic Areas: Mathematics, Interdisciplinar, Engenharias iii, Ciência da computação, Applied mathematics, Analysis
    Author's mail: antonio.garijo@urv.cat, antonio.garijo@urv.cat

  • Keywords:

    Vector fields
    Separatrix graph
    Holomorphic foliations
    Analysis
    Applied Mathematics
    Mathematics
    Interdisciplinar
    Engenharias iii
    Ciência da computação

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