It is known that spatially distributed excitable systems can transmit and process information if one relates the
logical “true” state with a high concentration of a selected reagent and the logical “false” state with a low
concentration of the same reagent. The information coded in the propagating pulses of concentration can be
processed in properly arranged reactors. In this paper, we show how to build a reactor counting the number
of pulses that arrive at a given point of space or that propagate within a signal channel. We discuss two types
of such reactors. The first consists of many memory cells, and each of the arriving pulses excites a subsequent
cell. The second gives the number of arriving pulses in the binary positional representation. All basic elements
of these chemical counters have been tested experimentally using a photosensitive Ru-catalyzed Belousov−Zhabotinsky reaction.
We discuss properties of a cross junction composed of active areas, in which the Belousov-Zhabotinsky reaction proceeds, and passive stripes. The response of such a junction with respect to pulses of excitation arriving from perpendicular directions is studied. It is shown that the device works as a coincidence detector because the second pulse is stopped if it arrives earlier than a certain characteristic time after the first one. Using the Rovinsky-Zhabotinsky model, we calculate the size of the cross junction and specify its temporal characteristics. We suggest how the cross junction can work as a switch of a chemical signal.
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