The main research items of the group of dynamical systems are: • The study and classification of Morse-Smale flows on three dimensional manifolds. • Numerical analysis of differential equations. Development of geometric numerical methods for integration. • Applications of these techniques to problems of Celestial Mechanics. • Development of applications of the dynamical systems to geometry, in connection with the group of singularities and differential topology of the University of Valencia. • Study of the dynamics of numerical methods.