New Family of Centers of Planar Polynomial Differential Systems of Arbitrary Even Degree
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Mousavi, Marzieh (Isfahan University of Technology. Department of Mathematical Sciences)
Nabavi, Arefeh (Isfahan University of Technology. Department of Mathematical Sciences)

Date:	2019
Abstract:	The problem of distinguishing between a focus and a center is one of the classical problems in the qualitative theory of planar differential systems. In this paper, we provide a new family of centers of polynomial differential systems of arbitrary even degree. Moreover, we classify the global phase portraits in the Poincaré disc of the centers of this family having degree 2, 4, and 6.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Poincaré compactification ; Center ; First integral ; Invariant algebraic curve
Published in:	Journal of Dynamical and Control Systems, Vol. 25, issue 4 (Oct. 2019) , p. 619-630, ISSN 1573-8698

DOI: 10.1007/s10883-019-09432-x

Postprint 15 p, 434.9 KB

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