High Frequency Stochastic Resonance in Periodically Driven Systems

M. I. Dykman; D. G. Luchinsky; R. Mannella; P. V. E. McClintock; S. M. Soskin; N. D. Stein; N. G. Stocks

paper

High Frequency Stochastic Resonance in Periodically Driven Systems

arXiv:chao-dyn/9308001

Abstract

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 $ω_{F}$ . It is shown that, with increasing noise intensity, the signal/noise ratio (SNR) for a signal due to a weak trial force of frequency $Ω \sim ω_{F}$ 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 $∣Ω - 2 ω_{F} ∣$ is also observed, in accordance with theoretical predictions. Relationships with phenomena in nonlinear optics are discussed.

10 pages, no special macro. Figures on request