Journal of Physical Chemistry A, Vol.101, No.40, 7364-7370, 1997
Recognition in excitable chemical reactor networks. Experiments and model-simulations
A reactor network consisting of four electrically coupled Belousov-Zhabotinsky (BZ) oscillators is used for the recognition of chemical oscillation patterns, The four reactors show identical period-1 oscillations. The application of a constant electrical current drives the period-1 oscillations inter an excitable nodal steady state via a saddle-node infinite period (SNIPER) bifurcation. Global electric coupling is achieved by periodic external pulses applied simultaneously to all four nodal steady states. Thus, any two of eight possible oscillation patterns can be established as initial conditions. Local electrical coupling according to a programming rule enables the network to carry out the actual recognition process of the two encoded patterns. As a result, the two encoded patterns are immediately selected if offered as initial conditions. A pattern with one error is corrected within one or two oscillations; however, patterns with two errors are rejected by this experimental network. Numerical simulations with the seven-variable Gyorgyi-Field model of the BZ reaction, which is perturbed by a flow of electrical charge, are in good agreement with the experimental results. The advantages of ''fast'' electrical coupling over ''slow'' mass coupling are discussed.