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Limit cycles bifurcating from the periodic annulus of the weight-homogeneous polynomial centers of weight-degree 2
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| Organization: | Universitat Autònoma de Barcelona |
| Department: | Departament de Matemàtiques |
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| Applied Mathematics and Computation |
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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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