On the stability of coupled chemical oscillators

The coupling of chemical oscillators is investigated in the case of the Brusselator model. The stable steady states obtained by coupling two, three and more Brusselators in parallel, in a diffusion like manner are discussed. Results are given for identical, identical with perturbation (i.e. almost identical), and completely dissimilar oscillators. Parameter domains in which stability and multistability can be found are analyzed. These domains usually increase with the number of cells - thus a bigger system of oscillators has a greater chance to be stabilized. The symmetry patterns of the stable domains are discussed.