A lumped model for H₂/O₂ oxidation in the oscillatory regime

A lumped model for H₂/O₂ oxidation in the oscillatory regime is constructed by using the approach of approximate constrained nonlinear lumping based on an algebraic method within nonlinear perturbation theory. The fast variables approach zero rapidly such that the lumped model is constructed within a slow manifold by setting the identified fast variables to zero. The model dimension is reduced from 7 to 4. The variables representing the concentrations of H₂, O₂, H₂O, and H are explicitly kept unlumped. The lumped model accurately reproduces the main features of the original system, such as oscillatory periods and concentration profiles.