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Phenomenon of stochastic resonance for an underdamped monostable system with multiplicative and additive noise

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Abstract

The stochastic resonance (SR) phenomenon for an underdamped monostable system with multiplicative and additive noise is investigated. The expression for the stationary probability density is obtained under the condition of the detailed balance and weak noise. The signal-to-noise ratio (SNR) for the monostable system is derived based on two-state theory. The result shows that the SR phenomenon can be observed when the SNR varies with the intensities of the multiplicative and additive white noise, as well as varies with the amplitude of the additive dichotomous noise. One resonance peak can be found when the SNR changes with the damping coefficient and with other system parameters.

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Funding

Funding was provided by the National Natural Science Foundation of China (No. 61771411).

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Authors and Affiliations

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

    Feng Guo, Sunli Wang & Xueyuan Wang

  2. Institute of Nuclear Physics and Chemistry, China Academy of Engineering Physics, Mianyang, 621900, China

    Chengyin Zhu

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  1. Feng Guo
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  2. Chengyin Zhu
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  3. Sunli Wang
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  4. Xueyuan Wang
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Correspondence to Feng Guo or Xueyuan Wang.

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Guo, F., Zhu, C., Wang, S. et al. Phenomenon of stochastic resonance for an underdamped monostable system with multiplicative and additive noise. Indian J Phys 96, 515–523 (2022). https://doi.org/10.1007/s12648-021-02010-7

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  • DOI: https://doi.org/10.1007/s12648-021-02010-7

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