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Observation of stochastic resonance near a subcritical bifurcation


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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  1. 1.

    B. McNamara, K. Wiesenfeld, and R. Roy,Phys. Rev. Lett. 60:2626 (1988).

  2. 2.

    B. McNamara and K. Wiesenfeld,Phys. Rev. A 39:4854 (1989).

  3. 3.

    T. Zhou and F. Moss,Phys. Rev. A 41:4255 (1990).

  4. 4.

    P. Jung and P. Hanggi,Phys. Rev. A 41:2977 (1990).

  5. 5.

    C. Presilla, F. Marchesoni, and L. Gammaitoni,Phys. Rev. A 40:2105 (1989).

  6. 6.

    L. Gammaitoni, M. Martinelli, L. Pardi, and S. Santucci,Phys. Rev. Lett. 67:1799 (1991).

  7. 7.

    K. Wiesenfeld and N. F. Pedersen,Phys. Rev. A 36:1440 (1987).

  8. 8.

    F. Bucholtz, Fiber optic magnetic field sensors, inFiber Optic Sensors: An Introduction for Engineers and Scientists, E. Udd, ed. (Wiley, New York, 1991), Chapter 12.

  9. 9.

    S. T. Vohra, F. Bucholtz, D. M. Dagenais, and K. P. Koo,J. Appl. Phys. 69:57736 (1991).

  10. 10.

    S. T. Vohra, F. Bucholtz, K. P. Koo, and D. M. Dagenais,Phys. Rev. Lett. 66:212 (1991);Phys. Rev. Lett. 66:2843 (1991).

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Vohra, S.T., Bucholtz, F. Observation of stochastic resonance near a subcritical bifurcation. J Stat Phys 70, 413–421 (1993).

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Key words

  • Stochastic resonance
  • Subcritical bifurcation