Simple electronic circuit model for doubly stochastic resonance

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 63, Issue 2 I, 2001, Pages 0201031-0201034

  Zaikin, A A ^a,b   Murali, K ^a   Kurths, J ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

^b ANNA UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; COUPLED CIRCUITS; NUMERICAL METHODS; RANDOM PROCESSES; RESISTORS; SIGNAL TO NOISE RATIO; SPURIOUS SIGNAL NOISE;

STOCHASTIC RESONANCE;

ELECTRON RESONANCE;

EID: 10644239460     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.020103     Document Type: Article

References (36)

1. W. Horsthemke and R. Lefever, Noise-Induced Transitions (Springer, Berlin, 1984).
2. J. Smythe, F. Moss, and P. McClintock, Phys. Rev. Lett. 51, 1062 (1983).
3. J. García-Ojalvo and J. M. Sancho, Noise in Spatially Extended Systems (Springer, New York, 1999).
4. P. Landa, A. Zaikin, V. Ushakov, and J. Kurths, Phys. Rev. E 61, 4809 (2000).
5. P. Landa and P. McClintock, Phys. Rep. 323, 4 (2000).
6. F. Marchesoni, Phys. Lett. A 237, 126 (1998).
7. J.M.R. Parrondo, C. Van den Broeck, J. Buceta, and F.J. de la Rubia, Physica A 224, 153 (1996).
8. R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, L453 (1981).
9. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
10. B. McNamara, K. Wiesenfeld, and R. Roy, Phys. Rev. Lett. 60, 2626 (1988).
11. J. Douglass, L. Wilkens, and L. Pantazelou, Nature (London) 365, 337 (1993).
12. N. Stocks, N. Stei, and P. McClintock, J. Phys. A 26, 385 (1993).
13. K. Wiesenfeld et al., Phys. Rev. Lett. 72, 2125 (1994).
14. Z. Gingl, L. Kiss, and F. Moss, Europhys. Lett. 29, 191 (1995).
15. H. Gang, T. Ditzinger, C. Ning, and H. Haken, Phys. Rev. Lett. 71, 807 (1993).
16. A. Pikovksy and J. Kurths, Phys. Rev. Lett. 78, 775 (1997).
17. S. Bezrukov and I. Vodyanoy, in Unsolved Problems of Noise and Fluctuations, edited by D. Abbott and L. Kiss, AIP Conf. Proc. No. 511 (AIP, New York, 1999).
18. A. Fuliński, Phys. Rev. E 52, 4523 (1995).
19. A. Zaikin, J. Kurths, and L. Schimansky-Geier, Phys. Rev. Lett. 85, 227 (2000).
20. C. Van den Broeck, J.M.R. Parrondo, and R. Toral, Phys. Rev. Lett. 73, 3395 (1994).
21. F. Moss (private communication).
22. S. Kai, T. Kai, and M. Takata, J. Phys. Soc. Jpn. 47, 1379 (1979).
23. J. Micheau, W. Horsthemke, and R. Lefever, J. Chem. Phys. 81, 2450 (1984).
24. C. Meyer, G. Ahlers, and D. Cannell, Phys. Rev. A 44, 2514 (1991).
25. D. Griswold and J. Tough, Phys. Rev. A 36, 1360 (1987).
26. N. Inaba, T. Saito, and S. Mori, Trans. IEICE E70-A, 744 (1987).
27. L. Chua, C. Desoer, and E. Kuh, Linear and Nonlinear Circuits (McGraw-Hill Book Co., New York, 1987).
28. Y. Nishio and S. Mori, IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E76-A, 467 (1993).
29. C. Van den Broeck, J.M.R. Parrondo, R. Toral, and R. Kawai, Phys. Rev. E 55, 4084 (1997).
30. A. Zaikin and L. Schimansky-Geier, Phys. Rev. E 58, 4355 (1998).
31. B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989).
32. H. Kramers, Physica (Amsterdam) 7, 284 (1940).
33. L. Schimansky-Geier and U. Siewert, in Stochastic Dynamics, edited by L. Schimansky-Geier and T. Pöschel (Springer, Heidelberg, 1997), p. 245.
34. P. Kloeden and E. Platen, Numerical Solution of Stochastic Differential Equations (Springer-Verlag, Berlin, 1992).
35. A. Witt, A. Neiman, and J. Kurths, Phys. Rev. E 55, 5050 (1997).
36. R. Müller, K. Lippert, A. Kiihnel, and U. Behn, Phys. Rev. E 56, 2658 (1997).