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
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
Entity: Universitat Rovira i Virgili
Journal publication year: 2021
Funding program action: Proyectos I+D Generación de Conocimiento
Publication Type: Journal Publications
Repositori URV