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Suprathreshold stochastic resonance can be used to explain some biologic phenomena. In this paper, the suprathreshold stochastic resonance of a non-linear multilevel threshold neuronal network system is studied. The expression of the mutual information is derived, and the effects of the noise intensity and the system parameter on mutual information are discussed. The numerical computation results show that in the process of information transmission the selection of the threshold is very important according to the different effects of additive noise and multiplicative noise on system. Moreover, we also find that the more the number of devices, the more apparent the phenomenon of suprathreshold stochastic resonance is.
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Keywords:
- suprathreshold stochastic resonance /
- multilevel threshold system /
- mutual information /
- noises
[1] Fauve S, Heslot F 1983 Phys. Lett. A 97 5
[2] McNamara B, Wiesenfeld K, Roy R 1988 Phys. Rev. Lett. 60 2626
[3] Dykman M I, Mannella R, McClintock P V E, Stocks N G 1990 Phys. Rev. Lett. 65 2606
[4] Hu G, Nicolis G, Nicolis C 1990 Phys. Rev. A 42 2030
[5] Zhou T, Moss F, Jung P 1990 Phys. Rev. A 42 3161
[6] Li J H, Huang Z C, Wang C Y 1998 Acta. Phys. Sin. 47 0382 (in Chinese) [李静辉, 黄祖洽, 王存玉 1998 物理学报 47 0382]
[7] Xu W, Jin Y F, Li W, Ma S J 2005 Chin. Phys. 14 1077
[8] Jia Y, Yu S N, Li J R 2000 Phys. Rev. E 62 1869
[9] Chen L M, Cao L, Wu D J 2007 Chin. Phys. 16 123
[10] Luo X, Zhu S Q 2004 Chin. Phys. 13 1201
[11] Hu G, Gong D C, Wen X D, Yang C Y, Qing G R, Li R 1992 Phys. Rev. A 46 3250
[12] Collins J J, Chow C C, Imhoff T T 1995 Phys. Rev. E 52 R3321
[13] Stocks N G 2000 Phys. Rev. Lett. 84 2310
[14] Stocks N G 2001 Phys. Lett. A 279 308
[15] Stocks N G 2001 Phys. Rev. E 63 041114
[16] Stocks N G 2001 Phys. Rev. E 64 030902
[17] Nikitin A, Stocks N G, Morse R P 2007 Phys. Rev. E 75 021121
[18] Das A, Stocks N G, Hines E L 2009 Commun. Nonlinear Sci. Numer Simulat. 14 223
[19] McDonnell M D, Stocks N G, Pearce C E M, Abbott D 2006 Phys. Lett. A 352 183
[20] Lindner B, Schimansky-Geier L 2001 Phys. Rev. Lett. 86 2934
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[1] Fauve S, Heslot F 1983 Phys. Lett. A 97 5
[2] McNamara B, Wiesenfeld K, Roy R 1988 Phys. Rev. Lett. 60 2626
[3] Dykman M I, Mannella R, McClintock P V E, Stocks N G 1990 Phys. Rev. Lett. 65 2606
[4] Hu G, Nicolis G, Nicolis C 1990 Phys. Rev. A 42 2030
[5] Zhou T, Moss F, Jung P 1990 Phys. Rev. A 42 3161
[6] Li J H, Huang Z C, Wang C Y 1998 Acta. Phys. Sin. 47 0382 (in Chinese) [李静辉, 黄祖洽, 王存玉 1998 物理学报 47 0382]
[7] Xu W, Jin Y F, Li W, Ma S J 2005 Chin. Phys. 14 1077
[8] Jia Y, Yu S N, Li J R 2000 Phys. Rev. E 62 1869
[9] Chen L M, Cao L, Wu D J 2007 Chin. Phys. 16 123
[10] Luo X, Zhu S Q 2004 Chin. Phys. 13 1201
[11] Hu G, Gong D C, Wen X D, Yang C Y, Qing G R, Li R 1992 Phys. Rev. A 46 3250
[12] Collins J J, Chow C C, Imhoff T T 1995 Phys. Rev. E 52 R3321
[13] Stocks N G 2000 Phys. Rev. Lett. 84 2310
[14] Stocks N G 2001 Phys. Lett. A 279 308
[15] Stocks N G 2001 Phys. Rev. E 63 041114
[16] Stocks N G 2001 Phys. Rev. E 64 030902
[17] Nikitin A, Stocks N G, Morse R P 2007 Phys. Rev. E 75 021121
[18] Das A, Stocks N G, Hines E L 2009 Commun. Nonlinear Sci. Numer Simulat. 14 223
[19] McDonnell M D, Stocks N G, Pearce C E M, Abbott D 2006 Phys. Lett. A 352 183
[20] Lindner B, Schimansky-Geier L 2001 Phys. Rev. Lett. 86 2934
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