Configurations of critical points in complex polynomial differential equations Original Research Article

In this work we focus on the configuration (location and stability) of simple critical points of polynomial differential equations of the form View the MathML sourceż=f(z), z∈Cz∈C. The case where all the critical points are of center type is studied in more detail finding several new center configurations. One of the main tools in our approach is the 1-dimensional Euler–Jacobi formula.