Bifurcation diagrams for Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields
Colak, Ilker (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemàtica)

Date:	2017
Abstract:	Following the work done in [8] we provide the bifurcation diagrams for the global phase portraits in the Poincaré disk of all Hamiltonian nilpotent centers of linear plus cubic homogeneous planar polynomial vector fields.
Grants:	Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 Ministerio de Economía y Competitividad MTM2013-40998-P
Note:	Agraïments: The third author is partially supported by FCT/Portugal through UID/MAT/04459/2013
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Bifurcation diagram ; Cubic polynomial system ; Hamiltonian nilpotent center ; Phase portrait ; Vector fields
Published in:	Journal of differential equations, Vol. 262 (2017) , p. 5518-5533, ISSN 1090-2732

DOI: 10.1016/j.jde.2017.02.001

Postprint 15 p, 383.0 KB

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