摘要The phenomenon of vibrational resonance (VR) in an overdamped system with a sextic double-well potential under the excitation of two different periodic signals is investigated. The approximate analytical expression of the resonance amplitude Q at the low−frequency ω is obtained. The VR is observed, and the values of B (the amplitude of the high−frequency signal) and Ω (the frequency of the high−frequency signal) at which VR occurs are determined. Moreover, the relationship between B and Ω is revealed. The theoretical predictions are found to be in good agreement with the numerical results.
Abstract：The phenomenon of vibrational resonance (VR) in an overdamped system with a sextic double-well potential under the excitation of two different periodic signals is investigated. The approximate analytical expression of the resonance amplitude Q at the low−frequency ω is obtained. The VR is observed, and the values of B (the amplitude of the high−frequency signal) and Ω (the frequency of the high−frequency signal) at which VR occurs are determined. Moreover, the relationship between B and Ω is revealed. The theoretical predictions are found to be in good agreement with the numerical results.
(Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)
引用本文:
WANG Can-Jun**
. Vibrational Resonance in an Overdamped System with a Sextic Double-Well Potential[J]. 中国物理快报, 2011, 28(9): 90504-090504.
WANG Can-Jun**
. Vibrational Resonance in an Overdamped System with a Sextic Double-Well Potential. Chin. Phys. Lett., 2011, 28(9): 90504-090504.
[1] Landa P and McClintock P J. Phys. A 2000 33 L433
[2] Gitterman M J. Phys. A 2001 34 L355
[3] Blekhman I I and Landa P S 2004 Int. J. Non-Linear Mech. 39 421
[4] Yao C G and Zhan M 2010 Phys. Rev. E 81 061129
[5] Jeyakumari S, Chinnathambi V, Rajasekar S and Sanjuan M A F 2009 Phys. Rev. E 80 046608
[6] Jeyakumari S, Chinnathambi V, Rajasekar S and Sanjuan M A F 2009 Chaos 19 043128
[7] Lin M and Huang Y M 2007 Acta Phys. Sin. 56 6173 (in Chinese)
[8] Yang J H and Liu X B 2010 J. Phys. A: Math. Theor. 43 122001
[9] Yang J H and Liu X B 2010 Phys. Scr. 82 025006
[10] Baltanas J P, Lopez L, Blechman I I, Landa P S, Zaikin A, Kurths J and Sanjuan M A F 2003 Phys. Rev. E 67 066119
[11] Chizhevsky V N, Smeu E and Giacomelli G 2003 Phys. Rev. Lett. 91 220602
[12] Zaikin A A, Lopez L, Baltanas J P, Kurths J and Sanjuan M A F 2002 Phys. Rev. E 66 011106
[13] Casado-Pascual J and Baltanas J P 2004 Phys. Rev. E 69 046108
[14] Su D, Chiu M and Chen C 1996 Precis. Eng. 18 161
[15] Maksimov A 1997 Ultrasonics 35 79
[16] Victor J and Conte M 2000 Visual Neurosci. 17 959
[17] Gherm V et al 1997 J. Atmos. Sol. Terr. Phys. 59 1831
[18] Deng B, Wang J and Wei X L 2009 Chaos 19 013117
[19] Deng B, Wang J and Wei X L, Tsang K M and Chan W L 2010 Chaos 20 013113
[20] Shi J C, Huang C S, Dong T and Zhang X Z 2010 Phys. Biol. 7 036006
[21] Blechman I I 2000 Vibrational Mechanics (Singapore: New World Scientic)
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