Abstract
A model of an overdamped Kramers oscillator perturbed by strong multiplicative Gaussian noise and a weak periodic signal is studied theoretically and experimentally. It is shown that under certain conditions such a system demonstrates on-off intermittency and sensitivity to very weak periodic signals, making possible many-fold (experimentally, by two orders of magnitude) amplification of the signal amplitude.
Similar content being viewed by others
References
W. Horsthemke and R. Lefever,Noise-Induced Phase Transitions, Springer, New York, 1984.
H. L. Yang and E. J. Ding, Phys. Rev. E54, 1361 (1996).
S. L. Ginzburg and M. A. Pustovoit, submitted to Phys. Rev. Lett.
A. S. Pikovsky, Phys. Lett. A165, 33 (1992).
A. S. Pikovsky and P. Grassberger, J. Phys. A24, 4567 (1991).
N. Platt, E. A. Spiegel, and C. Tresser, Phys. Rev. Lett.70, 279 (1993).
J. F. Heagy, N. Platt, and S. M. Hammel, Phys. Rev. E,49, 1140 (1994).
N. Platt, S. M. Hammel, and J. F. Heagy, Phys. Rev. Lett.72, 3498 (1994).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by M. E. Alferieff
Rights and permissions
About this article
Cite this article
Gerashchenko, O.V., Ginzburg, S.L. & Pustovoît, M.A. Multiplicative-noise-induced amplification of weak signals in a system with on—off intermittency. JETP Lett. 67, 997 (1998). https://doi.org/10.1134/1.567779
Received:
Revised:
DOI: https://doi.org/10.1134/1.567779