Reversible nilpotent centers with cubic homogeneous nonlinearities
Dukarić, Maša (University of Maribor(Slovenia). Center for Applied Mathematics and Theoretical Physics)
Giné, Jaume (Universitat de Lleida. Departament de Matemàtica)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2016
Abstract:	We provide 13 non-topological equivalent classes of global phase portraits in the Poincaré disk of reversible cubic homogeneous systems with a nilpotent center at origin, which complete the classification of the phase portraits of the nilpotent centers with cubic homogeneous nonlinearities.
Grants:	Ministerio de Economía y Competitividad MTM2014-53703-P Ministerio de Economía y Competitividad MTM2008-03437 Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-1204 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 316339
Note:	Agraïments: Slovenian scholarship for the Research Cooperation of Doctoral Students Abroad in Year 2013. The third author is partially supported by a FEDER-UNAB-10-4E-378.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Nilpotent center ; Phase portrait ; Two dimensional differential systems
Published in:	Journal of mathematical analysis and applications, Vol. 433 (2016) , p. 305-319, ISSN 1096-0813

DOI: 10.1016/j.jmaa.2015.07.049

Postprint 24 p, 13.1 MB

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