Phase portraits of Abel quadratic differential systems of second kind with symmetries
Ferragut Amengual, Antoni Manel (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló)
García-Saldaña, Johanna Denise (Universidad Católica de la Santísima Concepción. Departamento de Matemática y Física Aplicadas (Chile))
Valls, Clàudia 1973- (Universidade de Lisboa. Instituto Superior Técnico. Departamento de Matemática)

Date:	2019
Abstract:	We provide normal forms and the global phase portraits on the Poincaré disk of the Abel quadratic differential equations of the second kind having a symmetry with respect to an axis or to the origin. Moreover, we also provide the bifurcation diagrams for these global phase portraits.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P
Note:	Altres ajuts: Universitat Jaume I grant P1-1B2015-16
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Abel differential equation of second kind ; Quadratic differential system ; Phase portrait ; Poincaré disk
Published in:	Dynamical Systems, Vol. 34, Issue 2 (2019) , p. 301-333, ISSN 1468-9375

DOI: 10.1080/14689367.2018.1530732

Postprint 28 p, 837.2 KB

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