Rafael de la Llave's Research

Dynamical Systems (KAM, hyperbolic theory, computation), Mathematical Physics

I am interested in several problems in dynamics. The common theme is that there are some special types of orbits that organize the long term behavior of the system. For example, periodic and quasiperiodic solutions, invariant manifolds, etc. These orbits can be studied profitably by combining analytical and computational techniques, so I am quite interested in combining analytical and numerical techniques. Some subareas of dyamics in which I have worked are: KAM theory, hyperbolic dynamics, rigidity, variational methods, perturbative expansions.

I have also done some work in problems motivated by phsycical applications such as convergence to equilibrium, stability of matter, semiclassical limits, magnetohydrodynamics, fluid dynamics, optics.

Most of my papers in the last years can be obtained from http://www.ma.utexas.edu/mp_arc.