The signal-to-noise ratio in bistable stochastic resonators

  • A.K. Imanbayeva IETP, Al-Farabi Kazakh National University, Kazakhstan, Almaty
  • Zh.B. Tokmyrzaeva IETP, Al-Farabi Kazakh National University, Kazakhstan, Almaty

Abstract

The most important parameter in any information transmission system is the signal-to-noise ratio (Signаl-to-Noise Rаtio or SNR). The signal level in this respect should be above the noise level. Recent studies have shown that in nonlinear dynamic systems, the effect of noise can lead to an increase in the signal-to-noise ratio. This phenomenon is called stochastic resonance. Stochastic resonance, whose study has grown to be a significant branch of noise research, is a rather general phenomenon wherein increasing the amount of input noise can optimise signal transfer in a system. To be more exact, we speak of stochastic resonance when the measure reflecting the quality of the transfer shows a maximum at non-zero input noise amplitude. In this paper we present the results of a numerical analysis of the stochastic resonance for a dynamical nonlinear system using the Duffing oscillator as an example. A numerical study was conducted in the MatLab.

References

1. G. Nicolis, and C. Nicolis, Entropy, 18(5), 172-185, (2016).

2. J.H. Yang, M.A.F. Sanjuán, H.G. Liu, G. Litak, X. Li, Communications in Nonlinear Science and Numerical Simulation, 41, 104-117, (2016).

3. M.D. McDonnell, Iannella N., M.-S. To, H.C. Tuckwell, J. Jost, B.S. Gutkin & L.M. Ward, Network: Computation in Neural Systems, 26(2), 35-71, (2015).

4. R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A: Mathematical and General, 14(11), L453–L457, (1981).

5. K. Wiesenfeld, B. McNamara and R. Roy, Phys.Rev. Lett., 60, 2626–2629, (1988).

6. Y.G. Leng, Z.H. Lai, S.B. Fan, Y.J. Gao, Acta Phys. Sin., 61, 230502, (2012).

7. Zh.B. Tokmyrzayeva, A.K. Imanbayeva, R.N. Syzdykova, Proc. of the 10th conf. “Chaos and structures in nonlinear systems. Theory and experiment”, Almaty, June 16-18, 2017, 328-332, (2017). (in Russ.).

8. L. Gammaitoni, P. Ha¨nggi, P. Jung, F. Marchesoni, Reviews of Modern Physics, 70(1), 223-287, (1988).
Published
2017-10-10
How to Cite
IMANBAYEVA, A.K.; TOKMYRZAEVA, Zh.B.. The signal-to-noise ratio in bistable stochastic resonators. Recent Contributions to Physics (Rec.Contr.Phys.), [S.l.], v. 61, n. 2, p. 100-107, oct. 2017. ISSN 2663-2276. Available at: <https://bph.kaznu.kz/index.php/zhuzhu/article/view/869>. Date accessed: 27 oct. 2020.
Section
Nonlinear Physics. Radiophysics

Most read articles by the same author(s)

Obs.: This plugin requires at least one statistics/report plugin to be enabled. If your statistics plugins provide more than one metric then please also select a main metric on the admin's site settings page and/or on the journal manager's settings pages.