Algebraic and topological classification of homogeneous quartic vector fields in the plane
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Martínez, Y. Paulina (Universidad del Bío-Bío. Departamento de Matemática (Chile))
Vidal, Claudio (Universidad del Bío-Bío. Departamento de Matemática (Chile))

Date:	2022
Abstract:	We provide canonical forms for the homogeneous polynomials of degree five. Then we characterize all the phase portraits in the Poincaré disk for all quartic homogeneous polynomial differential systems. More precisely, there are exactly 23 different topological phase portraits for the quartic homogeneous polynomial differential systems.
Grants:	Agencia Estatal de Investigación PID2019-104658GB-I00 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Quartic homogeneous polynomial differential systems ; Homogeneous polynomial vector fields ; Phase portraits
Published in:	Annali di Matematica Pura ed Applicata, Vol. 201, Issue 1 (February 2022) , p. 37-55, ISSN 1618-1891

DOI: 10.1007/s10231-021-01106-5

Postprint 16 p, 433.0 KB

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