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A pair of ordinary differential equations describing the Langmuir-Hinshelwood mechanism of a bimolecular surface reaction is presented as a simple model for a heterogeneously catalysed chemical reaction. Numerical and analytical techniques are combined to determine the possible dynamics of this model, which, even though it consists only of low-order polynomials, exhibits very complicated behaviour. This includes sustained oscillations, which appear or disappear at Hopf bifurcations, turningdoi:10.1098/rspa.1988.0019 fatcat:zazxaedofjhrxfmnmilavau2da