Abstract

The configuration of the singular points together with their topological indices for a planar quadratic and cubic polynomial differential system when this system has the maximum number of finite singular points can be studied using the Euler-Jacobi formula.
First we recall the result for the quadratic polynomial differential systems, i.e. we recall the classical Berlinskii’s Theorem, and after we will present the classification of the mentioned configurations for all the planar cubic polynomial differential systems.

This is a joint work with Claudia Valls.