Abstract:

We present the study of a 3-parametric family of quadratic differential systems with a triple node as a finite singular point. We use the theory of invariant and comitant polynomials to describe the space of parameters, which is composed by algebraic and non-algebraic surfaces. Although the complete analysis is not yet finished, we shall show the first results we have obtained. This is a joint work with Joan C. Artés (UAB) and Regilene D. S. Oliveira (USP).