The relaxation properties of the &bgr;‐process as described within the mode‐coupling theory for the dynamics of supercooled liquids is reviewed. This process is completely ruled by generic properties of underlying bifurcation singularities in the nonlinear equations of motion. The singularities belong to the cuspoid familyAkwithk≥2, and lead to various scaling scenarios involving one or more parameter scaling functions depending on the orderkof the relevant singularity. The theoretical predictions are compared with dielectric measurements on several polymeric systems, and in the relevant frequency region we find a quantitative agreement between theory and experimental results.