Stochastic resonance in a chaotic threshold-crossing system exhibiting
on-off intermittency and attractor bubbling: the logistic map with th
e control parameter varying randomly or chaotically in time is studied
in the case of weak additive and multiplicative periodic forcing. In
both cases signal-to-noise ratio shows dependence on the forcing frequ
ency; in the case of multiplicative forcing this dependence appears ev
en for very small frequencies. It is shown that this is a result of a
very long characteristic time scale, typical of systems with on-off in
termittency.