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

Llibre, J.Lopes, B. D. [UNESP]De Moraes, J. R.2018-12-112018-12-112016-02-01Applied Mathematics and Computation, v. 274, p. 47-54.0096-3003http://hdl.handle.net/11449/172210We 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.47-54engAveraging methodLimit cyclePolynomial vector fieldWeight-homogeneous differential systemLimit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2Artigo10.1016/j.amc.2015.10.079Acesso aberto2-s2.0-849472491352-s2.0-84947249135.pdf