Historical Remarks and Lines of Research

Dynamical systems is, and it always has been, one of the main lines of research in Mathematics. The interest of all human civilizations to understand the movements of the planets, the evolution of populations, or the discovery of chaotic dynamics on robust deterministic systems, make dynamical systems a main goal of study. After many years of development the area of dynamical systems has undergone various branches to provide answers to questions of diverse nature.

Our group of research is an example of all these bifurcations ocurred in dynamical systems over the years.  Precisely the starting point can be situated in 1979 when Jaume Llibre presented his Ph. D. Evoluciones finales y movimientos quasi-aleatorios en el problema restringido de tres cuerpos, under the supervision of Carles Simó. Although celestial mechanics was the main field of research of the group, we can assert that currently there are three more lines in which the group is  active. These are:

  • Celestial mechanics
  • Complex dynamics
  • Discrete real dynamical systems
  • Qualitative theory of differential equations

This growth (in fields of interest and active researches) explains that after 30 years of activity the scientific leadership is now shared by different people: Lluís Alsedà, Núria Fagella, Armengol Gasull and Jaume Llibre.  As a consequence of  the particular history of the group most of the researches  work in more than one of the fields listed above. This transversality gives richness and coherence to all this research project. 

We hope that these pages give you enough information about our activity and the activity of other groups of research in dynamical systems and related topics. We encourage to everybody interested to sail on them.

If you have any trouble getting information on the pages please send an e-mail to our webmaster (Joan Torregrosa).