Dissipative structures in two dimensions

Some further results on dissipative structures for one- and, more particularly, for two-dimensional bounded systems are presented. A model chemical network involving reactions and diffusion is investigated. The influence of the boundary conditions (no fluxes or fixed concentrations), the geometrical shape of the limits (circular or rectangular) and the size of the system on the variety of possible patterns is demonstrated. A comparison of the numerical results with bifurcation theory is outlined. Finally, the problem of multiplicity of stable ordered solutions which turns out to increase sharply from one to two dimensions, is discussed.