TURING INSTABILITY IN A BOUNDARY-FED SYSTEM

The formation of localized structures in the chlorine dioxide-idodine- malonic acid (CDIMA) reaction-diffusion system is investigated numeric ally using a realistic model of this system. We analyze the one-dimens ional patterns formed along the gradients imposed by boundary feeds, a nd study their linear stability to symmetry-breaking perturbations (Tu ring instability) in the plane transverse to these gradients. We estab lish that an often-invoked simple local linear analysis that neglects longitudinal diffusion is inappropriate for predicting the linear stab ility of these patterns. Using a fully nonuniform analysis, we investi gate the structure of the patterns formed along the gradients and thei r stability to transverse Turing pattern formation as a function of th e values of two control parameters: the malonic acid feed concentratio n and the size of the reactor in the dimension along the gradients. Th e results from this investigation are compared with existing experimen ts. [S1063-651X(98)15009-2].