Quadratic systems with invariant straight lines of total multiplicity two having Darboux invariants
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Oliveira, Regilene (Universidade de Sâo Paulo (Brazil). Departamento de Matemática)

Date:	2015
Abstract:	In this paper we present the global phase portraits in the Poincaré disc of the planar quadratic polynomial systems which admit invariant straight lines with total multiplicity two and Darboux invariants.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-410 European Commission 316338 European Commission 318999
Note:	Agraïments: Both authors are also supported by the joint project CAPES-MECD grant PHB-2009-0025-PC.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Darboux invariant ; Phase portrait ; Quadratic vector fields
Published in:	Communications in contemporaray mathematics, Vol. 17 Núm. 3 (2015) , p. 1450018, ISSN 1793-6683

DOI: 10.1142/S0219199714500187

Postprint 17 p, 376.7 KB

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