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Phase portraits of Abel quadratic differential systems of second kind with symmetries
Ferragut, Antoni (Universitat Jaume I. Institut de Matemàtiques i Aplicacions de Castelló. Departament de Matemàtiques)
García-Saldaña, Johanna D. (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.
Note: Altres ajuts: Universitat Jaume I grant P1-1B2015-16
Note: Número d'acord de subvenció MINECO/MTM2016-77278-P
Rights: Tots els drets reservats.
Language: Anglès
Document: article ; recerca ; acceptedVersion
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

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (scientific output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles

 Record created 2020-04-15, last modified 2020-08-01



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