In this line of research we study the general dynamics of spherically symmetric gravitational collapse and the nonlinear phenomena occurring in the decay of the inflaton field in
the heating, by using the Galerkin projection method , largely applied to problems of turbulence. By this method we are able to transform the system of partial differential
equations of the above problems into a set of of ordinary differential equations for modal coefficients, after a convenient truncation procedure. This allows us to use the
techniques of dynamical systems tin the description of the general dynamics of the problem, and have a general view of the bacckbone of the dynamics.

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