In this line of research we study the general dynamics of inflationary models, as well as universal statistical patterns present in the its chaotic dynamics, and also study the structure of initial conditions given by Quantum Cosmology for inflationary universes. We make use of dinamical structures as unstable periodic orbits present in the dynamics of inflationary models that imply the existence of possible mechanisms of parametric ressonance amplification for a selected spectrun of inhomogeneous perturbations, leading possibly to a model of formation of structures with a hierarchy of scales.

In collaboration with H.P. de Oliveira and E.V. Tonini.