Configurations of limit cycles and planar polynomial vector fields

By Jaume Llibre, G. Rodrı́guez. 2004

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A Survey on the Inverse Integrating Factor (2009, methodology): “As an example where this theorem is applied, we would like to recall the result of Llibre and Rodŕıguez in [81] where it is shown that every finite configuration of disjoint simple closed curves of the plane is topologically realizable as the set of limit cycles of a polynomial vector field.”
On the Darboux Integrability of Polynomial Differential Systems (2012, methodology): “Using the Darboux theory of integrability Llibre and Rodŕıguez in [24] proved that every finite configuration of disjoint simple closed curves of the plane is topologically realizable as the set of limit cycles of a polynomial vector field.”