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Entropic vibrational resonance and entropic stochastic resonance for a confined system with Sine-Wiener bounded noise and constant force

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Abstract

The entropic vibrational resonance (EVR) and entropic stochastic resonance (ESR) for a confined system, driven by Sine-Wiener (SW) bounded noise, by one high-frequency and one low-frequency periodic force, as well as by a constant force along the \(x\)-direction, are studied. By virtue of the statistical characteristics of the SW noise, the Fokker–Planck equation and marginal probability density for the constrained system are derived. Based on two-state theory, the transition rates out of the stable states and signal-to-noise ratio (SNR) for the system driven by the low-frequency periodic force are obtained. Analysis results show that EVR occurs when the SNR changes with the amplitude and frequency of the high-frequency periodic force. The effect of the amplitude and that of the frequency of the high-frequency signal on the SNR is different. ESR takes place when the SNR varies with the strength and correlation time of the SW bounded noise. ESR is also observed when the SNR changes with increasing the constant force.

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Data Availability Statement

This manuscript has no associated data, or the data will not be deposited. [Authors’ comment: All the results presented in the paper can be reproduced with the information provided in the manuscript].

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Authors and Affiliations

  1. School of Information Engineering, Southwest University of Science and Technology, Mianyang, 621010, China

    Feng Guo & Qiang-Ming Cai

  2. Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang, 621900, China

    Qinlin Zhu

  3. College of Mechanical and Electronical Engineering, Mianyang Teachers’ College, Mianyang, 621000, China

    Yu-Rong Zhou

Authors
  1. Feng Guo
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  2. Qinlin Zhu
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  3. Yu-Rong Zhou
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  4. Qiang-Ming Cai
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Correspondence to Feng Guo or Qinlin Zhu.

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Guo, F., Zhu, Q., Zhou, YR. et al. Entropic vibrational resonance and entropic stochastic resonance for a confined system with Sine-Wiener bounded noise and constant force. Eur. Phys. J. Plus 139, 85 (2024). https://doi.org/10.1140/epjp/s13360-023-04622-w

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