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For clarifying the response of a bistable system to a high-frequency signal, the mechanism of high-frequency resonance with parameter-adjusted bistable system is investigated. It was shown that the method of twice sampling frequency transformation does not change the bistable system structure to realize resonance at the low frequency corresponding to the high frequency, and that the method of tuning bistable system parameters can directly realize resonance at the high frequency through adjusting the system parameters to change the system structure. The reason for the realization of high-frequency stochastic resonance of tuning system parameters is that adjusting the two parameters of the bistable system simultaneously leads to no limiting value for Kramers rate, and hence the limitation of stochastic resonance frequency within small frequency range is broken through.
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Keywords:
- bistable system /
- high frequency resonance /
- twice sampling frequency transformation /
- tuning of system parameters
[1] Benzi R, Sutera A, Vulpiana A 1981 Phys. A 14 L453
[2] Benzi R, Parisi G, Sutera A, Vulpiana A 1982 Tellus 34 11
[3] Jung P 1995 Phys. Lett. A 220 219
[4] Xu B H, Duan F B, Bao R H, Li J L 2002 Chaos, Solitons Fract. 13 633
[5] Mason J, Lindner J F, Neff J, Ditto W L, Bulsara A R, Spano M L 2000 Pyhs. Lett. A 277 13
[6] Li J L 2009 Chin. Phys. B 18 5196
[7] Lin M, Huang YM, Fang L M 2008 Acta Phys. Sin. 57 2041 (in Chinese) [林 敏、黄咏梅、方利民 2008 57 2041]
[8] Leng Y G, Wang T Y, Qin X D 2004 Acta Phys. Sin. 53 717 (in Chinese) [冷永刚、王太勇、秦续达 2004 53 717]
[9] Leng Y G, Leng Y S, Wang T Y, Guo Y 2006 Journal of Sound and Vibration 292 788
[10] Leng Y G, Wang T Y, Guo Y 2007 Acta Phys. Sin. 56 30 (in Chinese) [冷永刚、王太勇、郭 焱 2007 56 30]
[11] Leng Y G 2009 Acta Phys. Sin. 58 5184 (in Chinese) [冷永刚 2009 58 5184]
[12] Kaufman I Kh, Luchinsky D G, McClintock P V E, Soskin S M, Stein N D 1996 Phys. Lett. A 220 219
[13] Iacyel Gomes, Claudio R Mirasso, Raul Toral, Calvo O 2003 Phys. A 327 115
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[1] Benzi R, Sutera A, Vulpiana A 1981 Phys. A 14 L453
[2] Benzi R, Parisi G, Sutera A, Vulpiana A 1982 Tellus 34 11
[3] Jung P 1995 Phys. Lett. A 220 219
[4] Xu B H, Duan F B, Bao R H, Li J L 2002 Chaos, Solitons Fract. 13 633
[5] Mason J, Lindner J F, Neff J, Ditto W L, Bulsara A R, Spano M L 2000 Pyhs. Lett. A 277 13
[6] Li J L 2009 Chin. Phys. B 18 5196
[7] Lin M, Huang YM, Fang L M 2008 Acta Phys. Sin. 57 2041 (in Chinese) [林 敏、黄咏梅、方利民 2008 57 2041]
[8] Leng Y G, Wang T Y, Qin X D 2004 Acta Phys. Sin. 53 717 (in Chinese) [冷永刚、王太勇、秦续达 2004 53 717]
[9] Leng Y G, Leng Y S, Wang T Y, Guo Y 2006 Journal of Sound and Vibration 292 788
[10] Leng Y G, Wang T Y, Guo Y 2007 Acta Phys. Sin. 56 30 (in Chinese) [冷永刚、王太勇、郭 焱 2007 56 30]
[11] Leng Y G 2009 Acta Phys. Sin. 58 5184 (in Chinese) [冷永刚 2009 58 5184]
[12] Kaufman I Kh, Luchinsky D G, McClintock P V E, Soskin S M, Stein N D 1996 Phys. Lett. A 220 219
[13] Iacyel Gomes, Claudio R Mirasso, Raul Toral, Calvo O 2003 Phys. A 327 115
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