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High Frequency Stochastic Resonance in Periodically Driven Systems

1993/08/09 by M. I. Dykman, Dykman, M. I., D. G. Luchinsky +10
Computer Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Force Microscopy Techniques and Applications #Neural Networks Stability and Synchronization #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.chao-dyn/9308001

openalex publication_date 1993/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 \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 ωF \vert is also observed, in accordance with theoretical predictions. Relationships with phenomena in nonlinear optics are discussed.

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