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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

chao-dynarXiv: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 ωF. 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 ωF at first decreases, then 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 ωF is also observed, in accordance with theoretical predictions. Relationships with phenomena in nonlinear optics are discussed.

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