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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.
Note: Número d'acord de subvenció MINECO/MTM2016-77278-P
Note: Número d'acord de subvenció AGAUR/2017/SGR-1617
Note: Número d'acord de subvenció EC/H2020/777911
Rights: Tots els drets reservats
Language: Anglès.
Document: article ; recerca ; submittedVersion
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


Preprint
15 p, 434.9 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 2019-05-16, last modified 2019-11-27



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