Investigations are proposed of two-parameter bifurcations, wavenumber-selection processes and phase dynamics in non-linear dissipative systems that are driven far from equilibrium. Experiments will concentrate on the rotating Couette-Taylor system, with either axial flow or external rotation. Results are expected to have a bearing upon the general problem of pattern-formation and the evolution of non-periodic phenomena in systems of significant spatial extent. This research aims at developing a clearer understanding of pattern formation in non-linear, non-equilibrium systems.