Geometrical and analytical methods for the local study of dynamical systems. Executif program for scientific cooperation Italy - French Community of Belgium (MIAS / CGRI-FNRS)

The main goal of this project is to study some fundamental aspcets of dynamical systems theory, in particular we will be interster in local problems. We will study the behaviour of authonomous EDO, or periodic time dependent ones, in a neighbourhood of a equilibrium point or periodic orbit. We will also consider discrete dynamical systems -iterations of maps- where we will analyse the local behaviour in a neighbourhood of a fixed point.