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We report a stochastic resonance with the signal-to-noise ratio gain in a monostable system, by the fourth-order Runge-Kutta method, and on some occasions the signal-to-noise ratio gain exceeds 1. Tuning the parameters in the monostable stochastic resonance system can change the signal-to-noise ratio gain. This research result is the latest development of the monostable stochastic resonance, and has potential applications in the signal detection, processing and communications.
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Keywords:
- monostable stochastic resonance /
- signal-to-noise ratio gain /
- numerical analysis /
- nonlinearity
[1] Stocks N G,Stein N D,McClintock P V E 1993 J. Phys. A: Math. Gen. 26 L385
[2] Vilar J M G,Rubí J M 1996 Phys. Rev. Lett. 77 2863
[3] Lindner J F,Breen B J,Wills M E,Bulsara A R,Ditto W L 2001 Phys. Rev. E 63 051107
[4] Grigorenko A N,Nikitin S I,Roschepkin G V 1997 Phys. Rev. E 56 R4907
[5] Vilar J M G,Rubí J M 1997 Phys. Rev. Lett. 78 2882
[6] Pérez-Madrid A,Rubí J M 1995 Phys. Rev. E 51 4159
[7] Raikher Y L,Stepanov V I 1995 Phys. Rev. B 52 3493
[8] Guo F,Zhou Y R,Jiang S Q,Gu T X 2006 J. Phys. A: Math. Gen. 39 13861
[9] Guo F,Luo X D,Li S F,Zhou Y R 2010 Chin. Phys. B 19 080504
[10] Agudov N V,Krichigin A V 2008 Radiophysics and Quantum Electronics 51 812
[11] Agudov N V,Krichigin A V,Valenti D,Spagnolo B 2010 Phys. Rev. E 81 051123
[12] Kang Y M,Xu J X,Xie Y 2003 Acta Phys. Sin. 52 2712 ( in Chinese) [康艳梅、徐健学、谢 勇 2003 52 2712]
[13] Evstigneev M,Reimann P,Pankov V,Prince R H 2004 Europhys. Lett. 65 7
[14] Gammaitoni L,Hanggi P,Jung P,Marchesoni F 1998 Rev. Mod. Phys. 70 223
[15] Jung P,Hanggi P 1991 Phys. Rev. A 44 8032
[16] Evstigneev M,Pankov V,Prince R H 2001 J. Phys. A: Math. Gen. 34 2595
[17] Mitaim S,Kosko B 1998 Proceedings of the IEEE 86 2152
[18] Wang Y G,Wu L N 2009 Acta Electronica Sinica 37 2273 ( in Chinese) [王友国、吴乐南 2009 电子学报 37 2273]
[19] Gingl Z,Vajtai R,Kiss L B 2000 Chaos, Solitons & Fractals 11 1929
[20] Fauve S,Heslot F 1983 Phys. Lett. A 97 5
[21] Bulsara AR,Gammaitoni L 1996 Phys. Tod. 49 39
[22] Xu B,Duan F,Bao R,Li J 2002 Chaos, Solitons & Fractals 13 633
[23] Leng Y G 2009 Acta Phys. Sin. 58 5196 ( in Chinese) [冷永刚 2009 58 5196]
[24] Li J L,Xu B H 2006 Chin. Phys. 15 2867
[25] Leng Y G, Wang T Y,Qin X D,Li R X,Guo Y 2004 Acta Phys. Sin. 53 717 ( in Chinese) [冷永刚、王太勇、秦旭达、李瑞欣、郭 焱 2004 53 717]
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[1] Stocks N G,Stein N D,McClintock P V E 1993 J. Phys. A: Math. Gen. 26 L385
[2] Vilar J M G,Rubí J M 1996 Phys. Rev. Lett. 77 2863
[3] Lindner J F,Breen B J,Wills M E,Bulsara A R,Ditto W L 2001 Phys. Rev. E 63 051107
[4] Grigorenko A N,Nikitin S I,Roschepkin G V 1997 Phys. Rev. E 56 R4907
[5] Vilar J M G,Rubí J M 1997 Phys. Rev. Lett. 78 2882
[6] Pérez-Madrid A,Rubí J M 1995 Phys. Rev. E 51 4159
[7] Raikher Y L,Stepanov V I 1995 Phys. Rev. B 52 3493
[8] Guo F,Zhou Y R,Jiang S Q,Gu T X 2006 J. Phys. A: Math. Gen. 39 13861
[9] Guo F,Luo X D,Li S F,Zhou Y R 2010 Chin. Phys. B 19 080504
[10] Agudov N V,Krichigin A V 2008 Radiophysics and Quantum Electronics 51 812
[11] Agudov N V,Krichigin A V,Valenti D,Spagnolo B 2010 Phys. Rev. E 81 051123
[12] Kang Y M,Xu J X,Xie Y 2003 Acta Phys. Sin. 52 2712 ( in Chinese) [康艳梅、徐健学、谢 勇 2003 52 2712]
[13] Evstigneev M,Reimann P,Pankov V,Prince R H 2004 Europhys. Lett. 65 7
[14] Gammaitoni L,Hanggi P,Jung P,Marchesoni F 1998 Rev. Mod. Phys. 70 223
[15] Jung P,Hanggi P 1991 Phys. Rev. A 44 8032
[16] Evstigneev M,Pankov V,Prince R H 2001 J. Phys. A: Math. Gen. 34 2595
[17] Mitaim S,Kosko B 1998 Proceedings of the IEEE 86 2152
[18] Wang Y G,Wu L N 2009 Acta Electronica Sinica 37 2273 ( in Chinese) [王友国、吴乐南 2009 电子学报 37 2273]
[19] Gingl Z,Vajtai R,Kiss L B 2000 Chaos, Solitons & Fractals 11 1929
[20] Fauve S,Heslot F 1983 Phys. Lett. A 97 5
[21] Bulsara AR,Gammaitoni L 1996 Phys. Tod. 49 39
[22] Xu B,Duan F,Bao R,Li J 2002 Chaos, Solitons & Fractals 13 633
[23] Leng Y G 2009 Acta Phys. Sin. 58 5196 ( in Chinese) [冷永刚 2009 58 5196]
[24] Li J L,Xu B H 2006 Chin. Phys. 15 2867
[25] Leng Y G, Wang T Y,Qin X D,Li R X,Guo Y 2004 Acta Phys. Sin. 53 717 ( in Chinese) [冷永刚、王太勇、秦旭达、李瑞欣、郭 焱 2004 53 717]
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