Universitat de les Illes Balears

Overview of the research activity

Most mathematical models of experimental science are formulated using differential equations.

Based on models developed in different scientific areas, Qualitative Theory of Ordinary Differential Equations is one of the tools for understanding these models. This study is implemented through the following objectives: the topological description of their solutions (phase portrait), the long-term behavior of the solutions (attractors, stable and unstable manifolds) and the change in the structure of the solutions when the parameters vary (bifurcations or chaotic behavior).

The three main research lines of our group are:

1. Qualitative theory of ODE's.
2. Qualitative theory of ODE's systems piecewise linear.
3. Qualitative theory of discrete dynamical systems.