Isothermal oscillations and exotic bifurcation behaviour from second-order schemes involving only three components

Abstract

The scheme of consecutive reactions A→B→C (with 3 variables and 4 parameters), where the first step proceeds only through catalysis by the dimer B₂, shows multiple stationarystates and a very rich variety of oscillatory behaviour. At one extreme it yields cubic autocatalysis but its exotic behaviour persists over a very wide range indeed. It is thus a useful prototype for oscillatory systems without cubic kinetics.