  We study Brownian particle motion in a double-well potential driven by an ac
force. This system exhibits the phenomenon of stochastic resonance.
Distribution of work done on the system over a drive period in the time
asymptotic regime have been calculated. We show that fluctuations in the input
energy or work done dominate the mean value. The mean value of work done over a
period as a function of noise strength can also be used to characterise
stochastic resonance in the system. We also discuss the validity of steady
state fluctuation theorems in this particular system.
