A model for an array of channels in a catalytic monolith reactor is presented and its qualitative behavior is examined, using a dynamical systems approach. The model uses a “coupled map lattice” system to represent a row of channels across the monolith. The aim is to provide a simple model that can give qualitative solutions for a wide range of parameter values. The model exhibits multiple stable solutions and periodic solutions which have been seen experimentally in monoliths and single-channel models but have not been explored theoretically in multi-channel models. This multi-channel model displays richer behavior than is possible in a single channel model; path-following techniques are used to explore the distribution in parameter space of the varying phenomenology.