Author, as appears in the article.: Dias K; Garijo A
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: Garijo Real, Antonio
Keywords: Vector fields Separatrix graph Holomorphic foliations
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: Mathematics Matemática / probabilidade e estatística Interdisciplinar Engenharias iii Ciências agrárias i Ciência da computação Astronomia / física Applied mathematics Analysis
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
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
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
Article's DOI: 10.1016/j.jde.2021.02.021
Entity: Universitat Rovira i Virgili
Journal publication year: 2021
Publication Type: Journal Publications
Repositori URV