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Vibrational Resonance in an Overdamped System with a Sextic Double-Well Potential |
WANG Can-Jun**
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Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721007
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Cite this article: |
WANG Can-Jun 2011 Chin. Phys. Lett. 28 090504 |
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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.
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Keywords:
05.45.-a
05.90.+m
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Received: 17 February 2011
Published: 30 August 2011
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PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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05.90.+m
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(Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)
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