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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
B. McNamara, K. Wiesenfeld, and R. Roy,Phys. Rev. Lett. 60:2626 (1988).
B. McNamara and K. Wiesenfeld,Phys. Rev. A 39:4854 (1989).
T. Zhou and F. Moss,Phys. Rev. A 41:4255 (1990).
P. Jung and P. Hanggi,Phys. Rev. A 41:2977 (1990).
C. Presilla, F. Marchesoni, and L. Gammaitoni,Phys. Rev. A 40:2105 (1989).
L. Gammaitoni, M. Martinelli, L. Pardi, and S. Santucci,Phys. Rev. Lett. 67:1799 (1991).
K. Wiesenfeld and N. F. Pedersen,Phys. Rev. A 36:1440 (1987).
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.
S. T. Vohra, F. Bucholtz, D. M. Dagenais, and K. P. Koo,J. Appl. Phys. 69:57736 (1991).
S. T. Vohra, F. Bucholtz, K. P. Koo, and D. M. Dagenais,Phys. Rev. Lett. 66:212 (1991);Phys. Rev. Lett. 66:2843 (1991).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Issue Date:
DOI: https://doi.org/10.1007/BF01053977