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

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arXiv · chao-dyn/9308001

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

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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 $\vert Ω- 2 ω_F \vert$ is also observed, in accordance with theoretical predictions. Relationships with phenomena in nonlinear optics are discussed.

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M. I. Dykman, D. G. Luchinsky, R. Mannella, P. V. E. McClintock, S. M. Soskin, N. D. Stein, N. G. Stocks. 1993-08-09. High Frequency Stochastic Resonance in Periodically Driven Systems. https://arxiv.org/abs/chao-dyn/9308001

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