Polynomial Hamiltonian systems of degree 3 with symmetric nilpotent centers
Dias, Fabio Scalco (Universidade Federal de Itajubá(Brazil). Instituto de Matemática e Computacâo)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemàtica)

Date:	2018
Abstract:	We provide normal forms and the global phase portraits in the Poincaré disk for all Hamiltonian planar polynomial vector fields of degree 3 symmetric with respect to the x-axis having a nilpotent center at the origin.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Nilpotent center ; Phase portrait ; Poincaré compactification ; Polynomial Hamiltonian systems
Published in:	Mathematics and computers in simulation, Vol. 144 (Feb. 2018) , p. 60-77, ISSN 0378-4754

DOI: 10.1016/j.matcom.2017.06.002

Postprint 29 p, 409.2 KB

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