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Observation of stochastic resonance near a subcritical bifurcation

Abstract

A hysteretic Subcritical period-doubling bifurcation is observed in the nonlinear strain dynamics of a magnetostrictive oscillator. The dynamic strain response of the magnetostrictive oscillator was observed with a high-resolution fiber optic interferometer. The effects of low-frequency modulation and band-limited stochastic fluctuations on such a bifurcation are investigated. Power spectral density measurements show that for an optimal value of externally injected noise the signal-to-noise ratio of a low-frequency modulation signal is enhanced by greater than 14 dB, thus indicating the first experimental observation of stochastic resonance near a bistable period-doubling bifurcation.

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Vohra, S.T., Bucholtz, F. Observation of stochastic resonance near a subcritical bifurcation. J Stat Phys 70, 413–421 (1993). https://doi.org/10.1007/BF01053977

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Key words

  • Stochastic resonance
  • Subcritical bifurcation