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

  • Identification data

    Identifier: imarina:9162283
    Authors:
    Dias KGarijo 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:

    Author, as appears in the article.: Dias K; Garijo A
    Department: Enginyeria Informàtica i Matemàtiques
    URV's Author/s: Garijo Real, Antonio
    Project code: PID2020-118281GB-C33
    Keywords: Holomorphic foliations Separatrix graph Vector fields
    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.
    Thematic Areas: Analysis Applied mathematics Astronomia / física Ciência da computação Ciências agrárias i Engenharias iii Interdisciplinar Matemática / probabilidade e estatística Mathematics
    licence for use: https://creativecommons.org/licenses/by/3.0/es/
    Author's mail: antonio.garijo@urv.cat
    Author identifier: 0000-0002-1503-7514
    Record's date: 2024-07-27
    Papper version: info:eu-repo/semantics/acceptedVersion
    Link to the original source: https://www.sciencedirect.com/science/article/abs/pii/S0022039621000917
    Funding program: Herramientas para el análisis de diagramas de bifurcación en sistemas dinámicos
    Papper original source: Journal Of Differential Equations. 282 541-565
    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
    Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
    Acronym: ATBiD
    Article's DOI: 10.1016/j.jde.2021.02.021
    Entity: Universitat Rovira i Virgili
    Journal publication year: 2021
    Funding program action: Proyectos I+D Generación de Conocimiento
    Publication Type: Journal Publications
  • Keywords:

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