The main objective of the study of our group are Dynamical Systems in general, with particular attention to problems related to Celestial Mechanics and Computational Dynamics . This group combines qualitative and quantitative studies using analytical and numerical techniques. In recent years we have placed special emphasis on the following research lines:

• Development and improvement of numerical methods for solving Ordinary Differential Equations related with Dynamical Systems issues. Taylor series method and variants.
• Study of families of periodic orbits and their bifurcations. Construction of "skeletons" of periodic orbits.
• Development of fast techniques to detect chaos.
• Celestial Mechanics: n-body problem. Perturbed Keplerian system. Families of periodic orbits. Applications to Astrodynamics.
• Study of the dynamics of chemical reactions. Perturbation techniques.
• Low-dimensional dissipative systems. Study of parametric dependence.