When parallels and meridians are limit cycles for polynomial vector fields on quadrics of revolution in the euclidean 3-space
Dias, Fabio Scalco (Universidade Federal de Itajubá(Brazil). Instituto de Matemática e Computacâo)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Mello, Luis Fernando (Universidade Federal de Itajubá(Brazil). Instituto de Matemática e Computacâo)

Date:	2016
Abstract:	We study polynomial vector fields of arbitrary degree in R^3 with an invariant quadric of revolution. We characterize all the possible configurations of invariant meridians and parallels that these vector fields can exhibit. Furthermore we analyze when these invariant meridians and parallels can be limit cycles.
Grants:	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 316339
Note:	Agraïments: The first and third authors are partially supported by CNPq grant 472321/2013-7 and by FAPEMIG grant APQ-00130-13. The third author is partially supported by CNPq grant 301758/2012-3 and by FAPEMIG grant PPM-00516-15. All authors are also supported by the joint project CAPES CSF-PVE grant 88881.030454/2013-0.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Invariant meridian ; Invariant parallel ; Limit cycle ; Periodic orbit ; Polynomial vector field
Published in:	International journal of bifurcation and chaos in applied sciences and engineering, Vol. 26 Núm. 9 (2016) , p. 1650160 (14 pages), ISSN 1793-6551

DOI: 10.1142/S0218127416501601

Postprint 18 p, 599.5 KB

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