We describe two experiments in which we investigate the synchronization of
coupled periodic oscillators. Each experimental system consists of two iden
tical coupled electronic periodic oscillators that display bursts of desync
hronization events similar to those observed previously in coupled chaotic
systems. We measure the degree of synchronization as a function of coupling
strength. In the first experiment, high-quality synchronization is achieve
d for all coupling strengths above a critical value. In the second experime
nt, no high-quality synchronization is observed. We compare our results to
the predictions of the several proposed criteria for synchronization. We fi
nd that none of the criteria accurately predict the range of coupling stren
gths over which high-quality synchronization is observed. (C) 2000 American
Institute of Physics. [S1054-1500(00)01203-9].