SIMPLE CHEMICAL-REACTION SYSTEMS WITH LIMIT-CYCLE BEHAVIOR

It is shown that for exhibiting limit cycle behaviour a two-component chemical reaction system has to involve at least three reactions among which one must be autocatalytic of the type 2X + ... ↔ 3X + ... Under this condition, possible candidates for chemical limit cycle systems are selected by postulating their steady state to be an instable focus. This procedure can be reduced to the selection of appropriate stoichiometric coefficients and is readily performed by a medium size computer. The result is quite a lot of limit cycle systems which are altogether simpler than, for example, the Brusselator" with its number of four reactions. One of the results is briefly discussed. © 1979."