We study a system of two-mode stochastic oscillators coupled through their
collective output. As a function of a relevant parameter four qualitatively
distinct regimes of collective behavior are observed. In an extended regio
n of the parameter space the periodicity of the collective output is enhanc
ed by the considered coupling. This system can be used as a new model to de
scribe synchronizationlike phenomena in systems of units with two or more o
scillation modes. The model can also explain how periodic dynamics can be g
enerated by coupling largely stochastic units. Similar systems could be res
ponsible for the emergence of rhythmic behavior in complex biological or so
ciological systems.