"Geometric mechanics is the common name that is given to those research activities that are devoted to the application of differential geometry to various fields of theoretical physics, in particular to classical mechanics (Lagrange and Hamilton mechanics), dynamical systems theory and control theory. This proposal concerns a joint exchange programme in this broad field, centered around the following four topics: (1) geometric structures in mechanics and field theory; (2) nonholonomic mechanics and geometric control theory; (3) geometry of second-order differential equations and the calculus of variations; (4) geometric integration techniques. There are three European partners involved: Ghent University (Belgium), Consejo Superior de Investigaciones Cientificas (Madrid, Spain) and the University of Ostrava (Ostrava, Czech Republic), and four non-European partners: Waseda University (Tokio, Japan), the University of California (San Diego, USA), Universidad Nacional del Sur (Bahia Blanca, Argentina) and La Trobe University (Bundoora, Victoria, Australia). The partners have been chosen both in function of a strong overlap of interests and in complementarity of expertise in the subfields covered by the project. The main objective consists in establishing new and reinforcing existing collaborations in the field of geometric mechanics through the exchange of both experienced and non-experienced researchers."