During the last 15 years, the group has been collaborating closely with the dynamical systems group of the Universitat de Barcelona (UB) giving rise to the so-called UB-UPC dynamical systems group, one of the world leader groups in the development of both analytic and numerical methods applied to the study of dynamical systems.

As a points of quality we would emphasize the following items:

• The quality and quantity of papers in journals of recognised international prestige.
• The participation in several editorial boards of scientific journals.
• Many plenary and invited conferences in international congresses.
• Involved in the organisation of many congresses, symposia, workshops and courses, both national and international.
• Participating and coordinating projects and networks of international cooperation.
• Interaction and collaboration with many national and international scientific groups giving rise to a remarkable amount of visits and stages.
• Maintenance and upgrade, from people of the UPC-group, of parallel computing Beowulf clusters EIXAM and MAYA.

Main research lines: n

• Arnold diffusion.
• Mathematical and computational Neuroscience.
• Splitting of separatrices.
• Celestial Mechanics.