Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2
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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.
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Averaging method, Limit cycle, Polynomial vector field, Weight-homogeneous differential system
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Applied Mathematics and Computation, v. 274, p. 47-54.
