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

High Frequency Stochastic Resonance in Periodically Driven Systems

chao-dyn 2008-02-03 v1 Chaotic Dynamics

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

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

Keywords

stochastic resonance nanomechanical resonators noise

Cite

@article{arxiv.chao-dyn/9308001,
  title  = {High Frequency Stochastic Resonance in Periodically Driven Systems},
  author = {M. I. Dykman and D. G. Luchinsky and R. Mannella and P. V. E. McClintock and S. M. Soskin and N. D. Stein and N. G. Stocks},
  journal= {arXiv preprint arXiv:chao-dyn/9308001},
  year   = {2008}
}

Comments

10 pages, no special macro. Figures on request

High Frequency Stochastic Resonance in Periodically Driven Systems

Abstract

Keywords

Cite

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