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Phase portraits of abel quadratic differential systems of second kind with symmetries

2019, Ferragut, Antoni, Garcia-Saldaña, Johanna, Vallsc, Claudia

We provide normal forms and the global phase portraits on the Poincaré disk of the Abel quadratic differential equations of the second kind having a symmetry with respect to an axis or to the origin. Moreover, we also provide the bifurcation diagrams for these global phase portraits.