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The stochastic resonance (SR) of two-dimensional Duffing oscillator is studied in this paper. We propose the generalized parameter-adjustment SR of Duffing oscillator. On the basis of Kramers rate, we build a discrimination function of the SR of Duffing oscillator, and we expound the generalized parameter-adjustment SR laws of Duffing oscillator under different noise intensity and signal frequency conditions. The general method of generating the generalized parameter-adjustment SR of Duffing oscillator is also given in this paper.
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Keywords:
- Duffing oscillator /
- stochastic resonance /
- Kramers rate /
- generalized parameter-adjustment
[1] Benzi R, Sutera A, Vulpiana 1981 Physica A 14 453
[2] Bensi R, Parisi G, Srutera A 1982 Tellus 34 11
[3] Nicolis C 1982 Tellus 1 1
[4] Fauve S, Heslot F 1983 Phys. Lett. 97A 5
[5] McNamara B, Wiesenfeld K, Roy R 1988 Phys. Rev. Lett. 60 2626
[6] Gammaitoni L, Hänggi P, Jung P, Marchesoni F 1998 Rew. Mod. Phys. 70 223
[7] Leng Y G, Wang T Y, Guo Y, Xu Y G, Fan S B 2007 Mech. Syst. Signal PR 21 138
[8] Xu B H, Zeng L Z, Li J L 2007 J. Sound. Vib. 303 255
[9] Steeve Zozor, Pierre-Olivier Amblard 2002 Signal Process 82 353
[10] Gammaitoni L, Marchesoni F, Menichella-Saetta E, Santucci S 1989 Phys. Rev. Lett. 62 349
[11] Gammaitoni L, Menichella-Saetta E, Santucci S, Marchesoni F, Presilla C 1989 Phys. Rev. A 40 2114
[12] Jung P, Hänggi P 1990 Phys. Rev. A 41 2977
[13] Kang Y M, Xu J X, Xie Y 2003 Acta Phys. Sin. 52 802 (in Chinese) [康艳梅, 徐健学, 谢勇 2003 物理学报 52 802]
[14] Wang F Z, Chen W S, Qin G R, Guo D Y, Liu J L 2003 Chin. Phys. Lett. 20 27
[15] Leng Y G, Lai Z H, Fan S B, Gao Y J 2012 Acta Phys. Sin. 61 230502 (in Chinese) [冷永刚, 赖志慧, 范胜波，高毓璣 2012 物理学报 61 230502]
[16] Lai Z H, Leng Y G, Fan S B 2013 Acta Phys. Sin. 62 070503 (in Chinese) [赖志慧, 冷永刚, 范胜波 2013 物理学报 62 070503]
[17] Leng Y G, Wang T Y, Guo Y, Wu Z Y 2007 Acta Phys. Sin. 56 30 (in Chinese) [冷永刚, 王太勇, 郭焱, 吴振勇 2007 物理学报 56 30]
[18] Yang D X, Hu Z, Yang Y M 2012 Acta Phys. Sin. 61 080501 (in Chinese) [杨定新, 胡政, 杨拥民 2012 物理学报 61 080501]
[19] Leng Y G 2011 Acta Phys. Sin. 61 020503 (in Chinese) [冷永刚 2011 物理学报 61 020503]
[20] Alfonsi L, Gammaitoni L, Santucci S, Bulsara A R 2000 Phys. Rev. E 62 299
[21] Wu X J, Guo W M, Cai W S, Shao X G, Pan Z X 2003 Talanta 61 863
[22] Hu G 1994 Stochastic Forces and Nonlinear System (Shanghai: Shanghai Science & Technology Education Press) p222 (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) 第222页]
[23] Wang J F, Liu F, Wang J Y, Chen G, Wang W 1997 Acta Phys. Sin. 46 2305 (in Chinese) [王嘉赋, 刘锋, 王均义, 陈光, 王炜 1997 物理学报 46 2305]
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[1] Benzi R, Sutera A, Vulpiana 1981 Physica A 14 453
[2] Bensi R, Parisi G, Srutera A 1982 Tellus 34 11
[3] Nicolis C 1982 Tellus 1 1
[4] Fauve S, Heslot F 1983 Phys. Lett. 97A 5
[5] McNamara B, Wiesenfeld K, Roy R 1988 Phys. Rev. Lett. 60 2626
[6] Gammaitoni L, Hänggi P, Jung P, Marchesoni F 1998 Rew. Mod. Phys. 70 223
[7] Leng Y G, Wang T Y, Guo Y, Xu Y G, Fan S B 2007 Mech. Syst. Signal PR 21 138
[8] Xu B H, Zeng L Z, Li J L 2007 J. Sound. Vib. 303 255
[9] Steeve Zozor, Pierre-Olivier Amblard 2002 Signal Process 82 353
[10] Gammaitoni L, Marchesoni F, Menichella-Saetta E, Santucci S 1989 Phys. Rev. Lett. 62 349
[11] Gammaitoni L, Menichella-Saetta E, Santucci S, Marchesoni F, Presilla C 1989 Phys. Rev. A 40 2114
[12] Jung P, Hänggi P 1990 Phys. Rev. A 41 2977
[13] Kang Y M, Xu J X, Xie Y 2003 Acta Phys. Sin. 52 802 (in Chinese) [康艳梅, 徐健学, 谢勇 2003 物理学报 52 802]
[14] Wang F Z, Chen W S, Qin G R, Guo D Y, Liu J L 2003 Chin. Phys. Lett. 20 27
[15] Leng Y G, Lai Z H, Fan S B, Gao Y J 2012 Acta Phys. Sin. 61 230502 (in Chinese) [冷永刚, 赖志慧, 范胜波，高毓璣 2012 物理学报 61 230502]
[16] Lai Z H, Leng Y G, Fan S B 2013 Acta Phys. Sin. 62 070503 (in Chinese) [赖志慧, 冷永刚, 范胜波 2013 物理学报 62 070503]
[17] Leng Y G, Wang T Y, Guo Y, Wu Z Y 2007 Acta Phys. Sin. 56 30 (in Chinese) [冷永刚, 王太勇, 郭焱, 吴振勇 2007 物理学报 56 30]
[18] Yang D X, Hu Z, Yang Y M 2012 Acta Phys. Sin. 61 080501 (in Chinese) [杨定新, 胡政, 杨拥民 2012 物理学报 61 080501]
[19] Leng Y G 2011 Acta Phys. Sin. 61 020503 (in Chinese) [冷永刚 2011 物理学报 61 020503]
[20] Alfonsi L, Gammaitoni L, Santucci S, Bulsara A R 2000 Phys. Rev. E 62 299
[21] Wu X J, Guo W M, Cai W S, Shao X G, Pan Z X 2003 Talanta 61 863
[22] Hu G 1994 Stochastic Forces and Nonlinear System (Shanghai: Shanghai Science & Technology Education Press) p222 (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) 第222页]
[23] Wang J F, Liu F, Wang J Y, Chen G, Wang W 1997 Acta Phys. Sin. 46 2305 (in Chinese) [王嘉赋, 刘锋, 王均义, 陈光, 王炜 1997 物理学报 46 2305]
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