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Using success probability as a measure of logical stochastic resonance, we mainly studied the phenomenon of logical stochastic resonance (LSR) in a one-dimensional bistable system induced by non-Gaussian noise in this paper. And we explained the cause of this phenomenon via the method of the mean first-passage time. Results show that the resonance peak of the success probability can be achieved only when in an appropriate range of noise intensity or correlation time. Through an optimization of system parameters, we have improved the reliability of realizing logic operation in the system.
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Keywords:
- Logical stochastic resonance /
- one-dimensional bistable system /
- non-Gaussian /
- mean first-passage time
[1] Benzi R, Sutera A, Vulpiani A 1981 J. Phys. A: Math. Gen. 14 L453
[2] Gan C B, Matjaz P, Wang Q Y 2010 Chin. Phys. B 19 040508
[3] Fauve S, Heslot F 1983 Phys. Lett. A 97 5
[4] Marino F, Giudici M, Barland S, Balle S Phys. Rev. Lett. 88 040601
[5] Manjarrez E, Diez M O, Méndez I, Flores A 2002 Neuroscience Letters 324 213
[6] Sonya B, Moss F 2004 Mathematical Biosciences 188 81
[7] Yee-Joon K, Marcia G, Satoru S 2006 Vision Research 46 392
[8] Qin G R, Gong D C, Hu G 2005 Chin. Phys. Sin. 41 360 (in Chinese) [秦光戎, 龚德纯, 胡岗 2005 41 360]
[9] McNamara B, Wiesenfeld K 1989 Phys. Rev. A 39 4854
[10] Vemuri G, Roy R 1989 Phys. Rev. A 39 4668
[11] Murali K, Sinha S, Ditto W L, Bulsara A R 2009 Phys. Rev. Lett. 102 104101
[12] Guerra D N, Bulsara A R, Ditto W L 2010 Nano. Letters 10 1168
[13] Zamora-Munt J, Masoller C 2010 Optics Express 18 418
[14] Dari A, Kia B, Bulsara A R, Ditto W L 2011 Chaos 21 047521
[15] Han X P, Liu J, Tong Q Y 2004 Acta Biophysica Sinica 20 409 (in Chinese) [韩晓鹏, 刘军, 童勤业 2004 生物 20 409]
[16] Xu Y, Li J J, Feng J, Zhang H Q, Xu W, Duan J Q 2013 Eur. Phys. J. B 86 198
[17] Zhang J J, Jin Y F 2012 Chin. Phys. Sin. 61 130502 (in Chinese) [张静静, 靳艳飞 2012 61 130502]
[18] Horacio S W, Raul T 2008 Physics D 193 161
[19] Fuentes M A, Horacio S W, Raul T 2002 Physica A 303 91
[20] Jung P, Hanggi P 1987 Phys. Rev. A 35 4464
[21] Wang C Q, Xu W, Zhang N M, Li H Q 2008 Chin. Phys. Sin. 57 0749 (in Chinese) [王朝庆, 徐伟, 张娜敏, 李海泉 2008 57 0749]
[22] Zhao Y, Xu W, Zou S C 2009 Chin. Phys. Sin. 58 1396(in Chinese) [赵燕, 徐伟, 邹少存 2009 58 1396]
[23] Zhang L, Song A G 2011 Chinese Journal of Scientific Insrument 32 2394 (in Chinese) [张雷, 宋爱国 2011 仪器仪表学报 32 2394]
[24] Singh K P, Sinha S 2011 Phys. Rev. E 83 046219
[25] Xu Y, Jin X Q, Zhang H Q, Yang T T 2013 J. Stat. Phys. 152 753
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[1] Benzi R, Sutera A, Vulpiani A 1981 J. Phys. A: Math. Gen. 14 L453
[2] Gan C B, Matjaz P, Wang Q Y 2010 Chin. Phys. B 19 040508
[3] Fauve S, Heslot F 1983 Phys. Lett. A 97 5
[4] Marino F, Giudici M, Barland S, Balle S Phys. Rev. Lett. 88 040601
[5] Manjarrez E, Diez M O, Méndez I, Flores A 2002 Neuroscience Letters 324 213
[6] Sonya B, Moss F 2004 Mathematical Biosciences 188 81
[7] Yee-Joon K, Marcia G, Satoru S 2006 Vision Research 46 392
[8] Qin G R, Gong D C, Hu G 2005 Chin. Phys. Sin. 41 360 (in Chinese) [秦光戎, 龚德纯, 胡岗 2005 41 360]
[9] McNamara B, Wiesenfeld K 1989 Phys. Rev. A 39 4854
[10] Vemuri G, Roy R 1989 Phys. Rev. A 39 4668
[11] Murali K, Sinha S, Ditto W L, Bulsara A R 2009 Phys. Rev. Lett. 102 104101
[12] Guerra D N, Bulsara A R, Ditto W L 2010 Nano. Letters 10 1168
[13] Zamora-Munt J, Masoller C 2010 Optics Express 18 418
[14] Dari A, Kia B, Bulsara A R, Ditto W L 2011 Chaos 21 047521
[15] Han X P, Liu J, Tong Q Y 2004 Acta Biophysica Sinica 20 409 (in Chinese) [韩晓鹏, 刘军, 童勤业 2004 生物 20 409]
[16] Xu Y, Li J J, Feng J, Zhang H Q, Xu W, Duan J Q 2013 Eur. Phys. J. B 86 198
[17] Zhang J J, Jin Y F 2012 Chin. Phys. Sin. 61 130502 (in Chinese) [张静静, 靳艳飞 2012 61 130502]
[18] Horacio S W, Raul T 2008 Physics D 193 161
[19] Fuentes M A, Horacio S W, Raul T 2002 Physica A 303 91
[20] Jung P, Hanggi P 1987 Phys. Rev. A 35 4464
[21] Wang C Q, Xu W, Zhang N M, Li H Q 2008 Chin. Phys. Sin. 57 0749 (in Chinese) [王朝庆, 徐伟, 张娜敏, 李海泉 2008 57 0749]
[22] Zhao Y, Xu W, Zou S C 2009 Chin. Phys. Sin. 58 1396(in Chinese) [赵燕, 徐伟, 邹少存 2009 58 1396]
[23] Zhang L, Song A G 2011 Chinese Journal of Scientific Insrument 32 2394 (in Chinese) [张雷, 宋爱国 2011 仪器仪表学报 32 2394]
[24] Singh K P, Sinha S 2011 Phys. Rev. E 83 046219
[25] Xu Y, Jin X Q, Zhang H Q, Yang T T 2013 J. Stat. Phys. 152 753
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