Hamiltonian nilpotent center of linear plus cubic homogenous 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 Técnica de Lisboa. Departamento de Matemática)
Universitat Autònoma de Barcelona. Departament de Matemàtiques

Date:	2014
Abstract:	We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian nilpotent centers of linear plus cubic homogeneous planar polynomial vector fields.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 318999 European Commission 316338
Note:	Agraïments: The first author has been supported by AGAUR FI-DGR 2010. The third author has been supported by AGAUR PIV-DGR-2010, and by the Portuguese National Funds through FCT-Fundaçâo para a Ciência e a Tecnologia within the project PTDC/MAT/117106/2010 and by CAMGSD.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Cubic systems ; Hamiltonian system ; Nilpotent center ; Phase portrait
Published in:	Advances in mathematics, Vol. 259 (2014) , p. 655-687, ISSN 1090-2082

DOI: 10.1016/j.aim.2014.04.002

Postprint 29 p, 449.2 KB

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