Phase portraits of uniform isochronous quartic centers
Itikawa, Jackson (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2015
Abstract:	In this paper we classify the global phase portraits in the Poincaré disc of all quartic polynomial differential systems with a uniform isochronous center at the origin such that their nonlinear part is not homogeneous.
Grants:	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-568 European Commission 316338 European Commission 318999
Note:	Agraïments: The first author is supported by a Ciência sem Fronteiras-CNPq grant number 201002/2012-4 ; grant UNAB13-4E-1604, and a CAPES grant 88881. 030454/2013-01do Programa CSF-PVE.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Phase portrait ; Polynomial vector field ; Uniform isochronous center
Published in:	Journal of computational and applied mathematics, Vol. 287 (2015) , p. 98-114, ISSN 0377-0427

DOI: 10.1016/j.cam.2015.02.046

Postprint 23 p, 433.4 KB

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