ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Anishchenko V. S., Postnov D. E., Khovanov I. A., Shulgin B. V. Stochastic resonance in a bistable electronic circuits. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 5, pp. 16-25.

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
PDF icon 1995no5p016.pdf
(downloads: 0)
Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.373

Stochastic resonance in a bistable electronic circuits

Autors: 
Anishchenko Vadim Semenovich, Saratov State University
Postnov Dmitrij Engelevich, Saratov State University
Khovanov Igor Aleksandrovich, Saratov State University
Shulgin Boris V., University of Warwick
Abstract: 

The phenomenon of stochastic, resonance in a bistable radiotechnical system isstudied by means of numerical stimulation and full-scale experiments. The amplification factor and signal-to-noise ratio are analyzed depending on external noise intensity and periodic signal parameters. The results of experiments are compared in detail with theoretical computation. It has been shown that simple proposed electronic circuit of bistable over damped oscillator can serve as a basic dynamical model for exploration of stochastic resonance phenomenon.

Key words: 
-
Acknowledgments: 
The work was partially financed by the International Science Foundation (grant NRO 000) and the State Committee for Higher Education of Russia (grant No. 93-8.2-10).
Reference: 
  1. Benzi R, Sutera S, Vulpiani V. The mechanism of stochastic resonance. J. Phys. А. 1981;14(11):L453-L457. DOI: 10.1088/0305-4470/14/11/006.
  2. Moss F. Stochastic Resonance: From the ice ages to the monkey ear. In: Weiss GH, editor. Contemprorary Problems in Statistical Physics. Philadelphia: SIAM; 1994. P. 205-253.
  3. Dykman MI, Luchinsky DG, Mannella R, McClintock VE, Stein ND, Stocks NG. High frequency stochastic resonance in periodically driven systems. JETP Lett. 1993;58(2):150-156.
  4. Caroll T, Pecora L. Stochastic resonance as a crisis in a period-doubled circuit. Phys. Rev. Е. 1993;47(6):3941-3949. DOI: 10.1103/PhysRevE.47.3941.
  5. Anishchenko VS, Safonova MA, Chua LO. Stochastic resonance in Chua’s circuit. Int. J. Bif. Chaos. 1992;2(2):397-401. DOI: 10.1142/S0218127492000379.
  6. Anishchenko VS, Neiman AB, Safonova MA. Stochastic resonance in chaotic systems. J. Stat. Phys. 1993;70(1/2):183-196. DOI: 10.1007/BF01053962.
  7. Nicolis G, Nicolis C, McKernan D. Stochastic resonance in chaotic dynamics. J. Stat. Phys. 1993;70(1/2):125-139. DOI: 10.1007/BF01053958.
  8. Proccedings of the NATO advanced research workshop on stochastic resonance. J. Stat. Phys. Special issue. 1992;70(1/2).
  9. Fluctation in physics and biology: stochastic resonance. Il Nuovo Cimento D. Special issue.
  10. Jung Р. Perodically driven stochastic systems. Phys. Rep. 1994;234(4-5):175-295. DOI: 10.1016/0370-1573(93)90022-6.
  11. Gardiner К. Handbook of Stochastic Methods. Berlin: Springer; 1985. 442 p.
  12. Risken H. The Fokker-Planck equation. Berlin: Springer; 1996. 472 p.
  13. Gammaitoni L, Menichella- Saetta E, Marchesoni Е. Extraction of periodic signals from a noise background. Phys. Lett. A. 1989;142(2-3):59-62. DOI: 10.1016/0375-9601(89)90159-x.
  14. Jung P, Hanggi P. Amplification of small signals via stochastic resonance. Phys. Rev. A. 1991;44(12):8032-8042. DOI: 10.1103/physreva.44.8032.
  15. Anishchenko VS, Safonova MA, Chua LO. Stochastic resonance in Chua’s circuit driven by amplitude or frequency modulated signals. Int. J. Вif. Chaos. 1994;4(2):441-446. DOI: 10.1142/S0218127494000290.
  16. Anishchenko VS, Neiman АB, Safonova MA, Khovanov IА. Stochastic resonance under multi-frequency exposure. J. Commun. Tech. Electron. 1994;39(8/9):1380-1392.
  17. Anishchenko VS, Postnov DE, Khovanov IА, Shulgin VV. Use of stochastic resonance to increase the signal-to-noise ratio in radio engineering systems. J. Commun. Tech. Electron. 1994;39(12):2004-2014.
  18. Neiman AB, Shimansky-Geier LR. Stochastic resonance in bistable systmes driven by harmonic noise. Phys. Rev. Lett. 1994;72(19):2988-2991. DOI: 10.1103/PhysRevLett.72.2988.
  19. McNamara B, Wiesenfeld К. Theory of stochasic resonance. Phys. Rev. A. 1989;39(9):4854-4869. DOI: 10.1103/PhysRevA.39.4854.
  20. Dykman MI, Haken H, Gang Нu, Luchinsky DG, Mannella R, McClintock PVE, Ning CZ, Stein ND, Stocks NG. Linear response theory in stochastic resonance. Phys. Lett. A 1993;180(4-5):332-336. DOI: 10.1016/0375-9601(93)91186-9.
  21. Press W, Flannery B, Teukolsky S, Vetterling W. Numerical Recipies in C. Cambridge: Cambridge University Press; 1992. 1020 p.
  22. Nikitin NN, Razevig VD. Digital simulation of stochastic differential equations and error estimates. USSR Comp. Math. Math. Phys. 1978;18(1):102-113. DOI: 10.1016/0041-5553(78)90011-3.
  23. Zhou T, Moss Е. Analog simulation of stochastic resonance. Phys. Rev. А. 1990;41(8):4255-4264. DOI: 10.1103/physreva.41.4255.
Received: 
13.08.1995
Accepted: 
20.06.1996
Published: 
21.10.1996
  • 207 reads