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 points of quality, we would emphasize the following items:

• The quality and quantity of papers in journals of recognized international prestige.
• The participation in several editorial boards of scientific journals.
• Many plenary and invited conferences in international congresses.
• Involved in the organization 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:

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