In this work, we search for the presence of chaos in a self-consistent model for the cyclotronresonance maser accelerator. Two characteristic regimes are identified. If the initial action variable of the accelerating particles is small, rapid phase bunching occurs and the particle population is condensed into a single macroparticle in phase space. As a result, this low-dimensional state is predominantly regular. For larger energies, on the other hand, there is no macroparticle formation. The system is high dimensional, and chaos is found. Arnold difFusion appears to occur in these chaotic states. PACS number(s): 05.45.+b, 41.75. -i