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Anishchenko V. S., Khovanov I. A., Shulgin B. V. Stochastic resonance in Chua’s circuit when different types of attractors of the system interact. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 3, pp. 91-99.

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.373

Stochastic resonance in Chua’s circuit when different types of attractors of the system interact

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

Stochastic resonance in Chua’s circuit is investigated by numerical simulations and physical experiments for different regimes of its own dynamics. The main characteristics of stochastic resonance for different regimes under adiabatic approximation are compared from the points of view of the using of stochastic resonance for the amplification of the signal in radioengineering.

Key words: 
-
Acknowledgments: 
This work was partially funded by the International Science Foundation (grant NRO 000) and the State Committee for Higher Education of Russia (grant 93-8.2-10).
Reference: 
  1. Benzi R, Sutera A, Vulpiani A. The Mechanism of Stochastic Resonance. J. Phys. A: Math. Gen. 1981;14: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 G, editor. Some Problems in Statistical Physics. Philadelphia: SIAM; 1992.
  3. J.Stat. Phys.: special issue. Рrос. NATO Advanced Research Workshop on Stochastic Resonance. 1992;70(1/2).
  4. McNamara B, Wiesenfeld K. Theory of stochastic resonance. Phys. Rev. А. 1989;39(9):4854-4869. DOI: 10.1103/PhysRevA.39.4854.
  5. 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.
  6. Jung Р. Periodically Driven Stochastic Systems. Phys. Rep. 1994;234(4-5):175-295. DOI: 10.1016/0370-1573(93)90022-6.
  7. Dykman M, Haken H, Hu Gang, Luchinskii 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.
  8. Gardiner K. Handbook of Stochastic methods. Berlin: Springer, 1985. 442 p.
  9. Risken H. The Fokker - Planck Equation. Methods of Solution and Applications. Berlin: Springer; 1996. 472 p. DOI: 10.1007/978-3-642-61544-3.
  10. 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.
  11. Anishchenko VS, Neiman AB, Safonova MA. Stochastic Resonance in Chaotic Systems. J. Stat. Phys. 1993;70(1/2):183-196. DOI: 10.1007/BF01053962.
  12. Nicolis G, Nicolis C, McKernan D. Stochastic Resonance in Chaotic Dynamics. J. Stat. Phys. 1993;70(1/2):125-139. DOI: 10.1007/BF01053958.
  13. Dykman M, Luchinsky D, McClintock P, Stein N, Stocks N. High frequency stochastic resonance in periodically driven systems. JETP Lett. 1993;58(2):150-156.
  14. Anishchenko VS, Postnov DE, Khovanov NA, Shulgin VV. Use of stochastic resonance to increase the signal-to-noise ratio in radio engineering systems. J. Comm. Tech. Electron. 1994;39(12):2004-2014. (in Russian).
  15. Zhou T, Moss F. Analog simulation of stochastic resonance.  Phys. Rev. A. 1990;41(8):4255-4264. DOI: 10.1103/physreva.41.4255.
  16. Kramers H. Brownian motion in field of force and the diffusion model of chemical reactions. Physica. 1940;7(4):284-304. DOI: 10.1016/S0031-8914(40)90098-2.
  17. Gammaitoni L, Menichella- Saetta E, Santucci S, Marchesoni F. Extraction of periodic signals from a noise background. Phys. Lett. A. 1989;142:59-62. DOI: 10.1016/0375-9601(89)90159-X.
  18. Anishchenko VS, Neiman AV, Safonova MA, Khovanov IА. Stochastic resonance under multi-frequency exposure. J. Comm. Tech. Electron. 1994;39(8/9):1380-1392.
  19. Chua L, Komuro M, Matsumoto Т. The double scroll family. IEEE Trans. Circuits Syst. 1986;33(11):1072-1118. DOI: 10.1109/TCS.1986.1085869.
  20. Anishchenko VS, Postnov DE, Khovanov IА, Shulgin BV. Stochastic resonance in a bistable electrical circuit. Izvestiya VUZ. Applied Nonlinear Dynamics. 1995;3(4-5):.
  21. Press W, Flannery B, Teukolsky S, Vetterling W. Numerical Recipies in С. Cambridge, 1988,
  22. Anishchenko V.S., Neiman A.B., Chua L. Chaos-chaos intermittency and 1/f noise in Chua’s circuit. Int. J. Bif. Chaos. 1994;4(1):99-107. DOI: 10.1142/S0218127494000083.
  23. Dykman МI, Luchinsky DG, Mannella R, McClintock Р, Stein М, Stocks N.  Stochastic resonance in perspective. Il Nuovo Cimento D. 1995;17:661-683. DOI: 10.1007/BF02451825.
Received: 
18.01.1995
Accepted: 
31.03.1995
Published: 
05.04.1996
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