A rich variety of spatiotemporal patterns exists on reactive rings having a nonuniform activity. Simulations of a case with a nonuniformity indicate that when the local phase-plane features change along the ring, novel motions evolve which cannot form on a uniformly active ring. An example is a rotating pulse which can move only in one direction but not in the other. The nonuniformity increases the number of possible patterns which can exist on a specific ring relative to that existing on a uniformly active one. Thus the nonuniformity increases the sensitivity of the observed patterns to changes in the initial conditions or perturbations.