Web of Science: 21 citations, Scopus: 21 citations, Google Scholar: citations
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)

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.
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.
Note: Número d'acord de subvenció MINECO/MTM2008-03437
Note: Número d'acord de subvenció AGAUR/2009/SGR-410
Note: Número d'acord de subvenció EC/FP7/2012/318999
Note: Número d'acord de subvenció EC/FP7/2012/316338
Rights: Tots els drets reservats.
Language: Anglès
Document: article ; recerca ; acceptedVersion
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

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (scientific output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles

 Record created 2016-05-06, last modified 2020-09-22



   Favorit i Compartir