Research, but also thinking and writing.



I work in dynamical systems theory. My main interests are the integrability issues like the existence of first integrals or Lie Symmetries, and the existence of periodic orbits and dense solutions in prescribed invariant sets, both in discrete and continuous systems. I’m particularly focused on the development of algebraic and geometrical methods to study this issues. I also study other topics in dynamics like stability (local and global) and bifurcations.


My interests include the study of travelling waves as they can be studied within the qualitative and analytic theory of Ordinary Differential Equations framework. In particular, from the viewpoint of the bifurcation theory and the theory of limit cycles.


I have also studied some problems related with the modeling, control, identification and the existence of periodic orbits of nonlinear systems with hysteresis.


I have co-advised the Doctoral Thesis of Dra. Mireia Llorens Massana.


Finally, I think about some cultural and psychological aspects of science and mathematics. For instance, the study of how non-rational attitudes, beliefs and longings appear, mostly unconsciously, in scientific activity. I am also interested in the different philosophical approaches to the phenomenon of consciousness.


I also write poetry, and sometimes about poetry. I have a blog.