Global Dynamics of a Class of Planar Semi-Homogeneous Polynomial Vector Fields with Degree 2-3

This work concerns the description of all possible global dynamics on the Poincaré disc associated to a family of planar semi-homogeneous polynomial vector fields of the form X= ((x+y)y, x^3+Bx^2y+Cxy^2+Dy^3) with three real parameters B , C , D where B-C+D 1 .