Phase portraits of quadratic Lotka-Volterra systems with a Darboux invariant in the Poincaré disc
Bolaños Rivera, Yudy Marcela (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)

Date:	2014
Abstract:	We characterize the global phase portraits in the Poincaré disc of all the planar Lotka-Volterra quadratic polynomial differential systems having a Darboux invariant.
Grants:	Ministerio de Ciencia e Innovación MTM 2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 318999 European Commission 316338 Ministerio de Economía y Competitividad MTM2011-22877
Note:	Agraïments: The third author is supported by the grants AGAUR PIV-DGR-2010 and by FCT through the project PTDC/MAT/ 117106/2010 and through CAMGD, Lisbon.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Darboux invariant ; Phase portrait ; Poincaré compactification ; Poincaré disk ; Quadratic Lotka-Volterra systems
Published in:	Communications in contemporaray mathematics, Vol. 16 Núm. 6 (2014) , p. 1350041 (23 pages), ISSN 1793-6683

DOI: 10.1142/S0219199713500417

Postprint 21 p, 642.5 KB

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