BIFURCATIONS OF PATTERNED SOLUTIONS IN THE DIFFUSIVE LENGYEL-EPSTEIN SYSTEM OF CIMA CHEMICAL REACTIONS

摘要

Bifurcations of spatially nonhomogeneous periodic solutions and steady state solutions are rigorously proved for a reaction-diffusion system modeling CIMA chemical reaction. The existence of these patterned solutions shows the richness of the spatiotemporal dynamics including Turing instability and oscillatory behavior. Examples of numerical simulation are also shown to support and strengthen the analytical approach.