High Frequency Stochastic Resonance in Periodically Driven Systems

High frequency stochastic resonance (SR) phenomena, associated with fluctuational transitions between coexisting periodic attractors, have been investigated experimentally in an electronic model of a single-well Duffing oscillator bistable in a nearly resonant field of frequency ${\omega }_F$. It is shown that, with increasing noise intensity, the signal/noise ratio (SNR) for a signal due to a weak trial force of frequency $\mathrm{\Omega }\sim {\omega }_F$ at first decreases, then {\it increases}, and finally decreases again at higher noise intensities: behaviour similar to that observed previously for conventional (low frequency) SR in systems with static bistable potentials. The stochastic enhancement of the SNR of an additional signal at the mirror-reflected frequency $\mathrm{\mid }\mathrm{\Omega }-2{\omega }_F\mathrm{\mid }$ is also observed, in accordance with theoretical predictions. Relationships with phenomena in nonlinear optics are discussed.