# Global Dynamics of the Benoît System

Date:
02.12.13
Times:
15:30 to 16:30
Place:
UAB - Dept. Matemàtiques (C1/-128)
Speaker:
Maurício Lima
University:
Federal University Sao Paulo

#### Abstract:

In this talk we describe the global dynamics of the Benoît system. This system is a polynomial system of degree 2 in $\mathbb{R}^3.$ For doing this, we will use the Poincaré compactification of $\mathbb{R}^3$ and some first integral that this system has. We shall describe all possible phase portraits of the Benoît system inside each level of first integrals in the Poincaré sphere.