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Impact of depth and location of the wells on vibrational resonance in a triple-well system

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Abstract

The effect of depth and location of a triple-well potential on vibrational resonance is investigated in a quintic oscillator driven by a low-frequency force and a high-frequency force. The values of low-frequency \(\omega \) and amplitude g of the high-frequency force at which vibrational resonance occurs are derived both numerically and theoretically. It is found that: as \(\omega \) varies, at most one resonance takes place and the response amplitude at resonance depends on the depth and the location of the potential wells. When g is altered, the depth and location of wells can control the number of resonances, resulting in two, three and four resonances. The system parameters can be adjusted by controlling the depth and position of the wells to achieve optimum vibrational resonance. Furthermore, the changes induced by these two quantities in the tristable system are found to be richer than those induced in bistable systems.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 11202120) and the Fundamental Research Funds for the Central Universities (Grant Nos GK201502007 and GK201701001).

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Authors and Affiliations

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an , 710119, China

    Zhijuan Chen & Lijuan Ning

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  1. Zhijuan Chen
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  2. Lijuan Ning
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Correspondence to Lijuan Ning.

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Chen, Z., Ning, L. Impact of depth and location of the wells on vibrational resonance in a triple-well system. Pramana - J Phys 90, 49 (2018). https://doi.org/10.1007/s12043-018-1539-8

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  • DOI: https://doi.org/10.1007/s12043-018-1539-8

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