Collective behavior of coupled nonuniform stochastic oscillators

► In this study, we model exponentially coupled nonuniform stochastic oscillators. ► 3-state oscillators have a nonuniformity parameter affecting one of the transitions. ► Mean-field equations yield the phase diagram as coupling and nonuniformity vary. ► Collective oscillations are found, but only below a critical level of nonuniformity. ► When units become excitable, collective oscillations are not found in the model.