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以二维Duffing振子的随机共振为研究对象，提出Duffing振子的广义调参随机共振. 以Kramers逃逸速率为基础，建立了Duffing振子随机共振的判别函数，阐述了Duffing振子在不同噪声强度及信号频率输入条件下的广义调参随机共振规律，并给出了Duffing振子广义调参随机共振的一般方法.
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关键词:
- Duffing振子 /
- 随机共振 /
- Kramers逃逸速率 /
- 广义参数调节
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.-
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 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 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 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 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 61 080501]
[19] Leng Y G 2011 Acta Phys. Sin. 61 020503 (in Chinese) [冷永刚 2011 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 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 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 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 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 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 61 080501]
[19] Leng Y G 2011 Acta Phys. Sin. 61 020503 (in Chinese) [冷永刚 2011 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 46 2305]
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