Natural convection in rotating porous media due to thermal buoyancy created by the centrifugal body force is presented. The distinction between the cases where the temperature gradients are aligned with the direction of the centrifugal body force or perpendicular to the latter are discussed separately. In the second case stability conditions have to be established, i.e. the convection does not occur unconditionally. A spectral system is then used to analyze the nonlinear effects leading to a system of ordinary differential equations for the amplitudes of convection. They predict a transition to chaotic solutions (weak turbulence) at certain values of the parameters.