  To probe the connection between the dynamic phase transition and stochastic
resonance, we study the mean-field kinetic Ising model and the two-dimensional
Josephson-junction array in the presence of appropriate oscillating magnetic
fields. Observed in both systems are {\it double} stochastic resonance peaks,
one below and the other above the dynamic transition temperature, the
appearance of which is argued to be a generic property of the system with a
continuous dynamic phase transition. In particular, the frequency matching
condition around the dynamic phase transition between the external drive
frequency and the internal characteristic frequency of the system is identified
as the origin of such double peaks.
