  The interrelation of dynamic processes active on separated time-scales in
glasses and viscous liquids is investigated using a model displaying two
time-scale bifurcations both between fast and secondary relaxation and between
secondary and structural relaxation. The study of the dynamics allows for
predictions on the system relaxation above the temperature of dynamic arrest in
the mean-field approximation, that are compared with the outcomes of the
equations of motion directly derived within the Mode Coupling Theory (MCT) for
under-cooled viscous liquids. Varying the external thermodynamic parameters a
wide range of phenomenology can be represented, from a very clear separation of
structural and secondary peak in the susceptibility loss to excess wing
structures.
