Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2

J. Llibre, B.D. Lopes and J.R. de Moraes

Applied Mathematics and Computation, 2016, vol. 274, issue C, 47-54

Abstract: We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of a family of cubic polynomial differential centers when it is perturbed inside the class of all cubic polynomial differential systems. The family considered is the unique family of weight-homogeneous polynomial differential systems of weight-degree 2 with a center. The computations has been done with the help of the algebraic manipulator Mathematica.

Keywords: Polynomial vector field; Limit cycle; Averaging method; Weight-homogeneous differential system (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:274:y:2016:i:c:p:47-54

DOI: 10.1016/j.amc.2015.10.079

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