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In this paper, mean first-passage time (MFPT) and stochastic resonance (SR) are investigated in an asymmetric bistable system driven by multiplicative non-Gaussian noise and additive Gaussian white noise. Using the path integral approach and two-state theory, the expression of MFPT and the signal-to-noise ratio (SNR) are derived. The results show that the influences of the asymmetric coefficient on the MFPTs in two opposite directions are entirely different. SNR is a non-monotonic function of the additive noise intensity and asymmetric coefficient, therefore, an SR is found in this system. Whereas SNR is a monotonic function of the multiplicative noise intensity and no SR appears. This demonstrates that the effect of the multiplicative noise intensity on SNR is different from that of the additive noise intensity in the system.
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Keywords:
- non-Gaussian noise /
- asymmetric bistable system /
- mean first-passage time /
- stochastic resonance
[1] Benzi R, Sutera A, Vulpiani A 1981 J. Phys. A 14 L453
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[30] Jin Y F, Xu W, Ma S J, Li W 2005 Acta Phys. Sin. 54 3480 (in Chinese) [靳艳飞、徐 伟、马少娟、李 伟 2005 54 3480]
[31] [32] [33] Jin Y F, Xu W, Xu M 2005 Chaos Solitons Fract. 26 1183
[34] Zhang N M, Xu W, Wang C Q 2007 Acta Phys. Sin. 56 5083 (in Chinese) [张娜敏、徐 伟、王朝庆 2007 56 5083]
[35] [36] [37] Zhou B C, Xu W 2008 Acta Phys. Sin. 57 2035 (in Chinese) [周丙常、徐 伟 2008 57 2035]
[38] [39] Bezrukov S M, Vodyanoy I 1997 Nature 385 319
[40] [41] Goychuk I, Hnggi P 2000 Phys. Rev. E 61 4272
[42] [43] Fuentes M A, Toral R, Wio H S 2001 Physica A 295 114
[44] [45] Fuentes M A, Wio H S, Toral R 2002 Physica A 303 91
[46] [47] Wu D, Zhu S Q 2007 Phys. Lett. A 363 202
[48] [49] Goswami G, Majee P, Ghosh P K, Bag B C 2007 Physica A 374 549
[50] Jin Y F 2010 Dynamical Systems: Discontinuity, Stochasticity and Time-Delay (New York: Springer) pp223-231
[51] -
[1] Benzi R, Sutera A, Vulpiani A 1981 J. Phys. A 14 L453
[2] [3] Hu G 1994 Stochastic Forces and Nonlinear Systems (Shanghai: Shanghai Scientific and Technological Education Publishing House) (in Chinese) [胡 岗 1994 随机力与非线性系统 (上海:上海科技教育出版社)]
[4] Fauve S, Heslot F 1983 Phys. Lett. A 97 5
[5] [6] McNamara B, Wiesenfeld K, Roy R 1988 Phys. Rev. Lett. 60 2626
[7] [8] Cao L, Liu L, Zhang L 2010 Acta Phys. Sin. 59 1494 (in Chinese) [曹 力、刘 莉、张 立 2010 59 1494]
[9] [10] Du L C, Mei D C 2009 Chin. Phys. B 18 946
[11] [12] [13] Xu J X, Zhang G J 2005 Acta Phys. Sin. 54 557 (in Chinese) [徐健学、张广军 2005 54 557]
[14] [15] Luo X Q, Zhu S Q 2002 Acta Phys. Sin. 51 977 (in Chinese) [罗晓琴、朱士群 2002 51 977]
[16] [17] Xie C W, Mei D C 2003 Chin. Phys. 12 1208
[18] [19] Wang J, Cao L, Wu D J 2003 Phys. Lett. A 308 23
[20] Bulsara A R, Inchiosa M E, Gammaitoni L 1996 Phys. Rev. Lett. 77 2162
[21] [22] [23] Inchiosa M E, Bulsara A R, Gammaitoni L 1997 Phys. Rev. E 55 4049
[24] [25] Gammaitoni L, Bulsara A R 2002 Phys. Rev. Lett. 88 230601
[26] [27] Li J H 2002 Phys. Rev. E 66 031104
[28] [29] Dong X J 2007 Acta Phys. Sin. 56 5618 (in Chinese) [董小娟 2007 56 5618]
[30] Jin Y F, Xu W, Ma S J, Li W 2005 Acta Phys. Sin. 54 3480 (in Chinese) [靳艳飞、徐 伟、马少娟、李 伟 2005 54 3480]
[31] [32] [33] Jin Y F, Xu W, Xu M 2005 Chaos Solitons Fract. 26 1183
[34] Zhang N M, Xu W, Wang C Q 2007 Acta Phys. Sin. 56 5083 (in Chinese) [张娜敏、徐 伟、王朝庆 2007 56 5083]
[35] [36] [37] Zhou B C, Xu W 2008 Acta Phys. Sin. 57 2035 (in Chinese) [周丙常、徐 伟 2008 57 2035]
[38] [39] Bezrukov S M, Vodyanoy I 1997 Nature 385 319
[40] [41] Goychuk I, Hnggi P 2000 Phys. Rev. E 61 4272
[42] [43] Fuentes M A, Toral R, Wio H S 2001 Physica A 295 114
[44] [45] Fuentes M A, Wio H S, Toral R 2002 Physica A 303 91
[46] [47] Wu D, Zhu S Q 2007 Phys. Lett. A 363 202
[48] [49] Goswami G, Majee P, Ghosh P K, Bag B C 2007 Physica A 374 549
[50] Jin Y F 2010 Dynamical Systems: Discontinuity, Stochasticity and Time-Delay (New York: Springer) pp223-231
[51]
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