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Stochastic resonance in a harmonic oscillator subject to random mass and periodically modulated noise

Author

Listed:
  • Wang-Hao Dai

    (College of Mathematics, Sichuan University)

  • Rui-Bin Ren

    (College of Mathematics, Sichuan University)

  • Mao-Kang Luo

    (College of Mathematics, Sichuan University)

  • Ke Deng

    (College of Mathematics, Sichuan University)

Abstract

In many practical systems, the periodic driven force and noise are introduced multiplicatively. However, the corresponding researches only focus on the first order moment of the system and its stochastic resonance phenomena. This paper investigates a harmonic oscillator subject to random mass and periodically modulated noise. Using Shapiro-Loginov formula and the Laplace transformation technique, the analytic expressions of the first-order and second-order moment are obtained. According to the analytic expressions, we find that although the first-order moment is always zero but second-order moment is periodic which is different from other harmonic oscillators investigated. Furthermore, we find the amplitude and average of second-order moment have a non-monotonic behavior on the frequency of the input signal, noise parameters and other system parameters. Finally, the numerical simulations are presented to verify the analytical results.

Suggested Citation

  • Wang-Hao Dai & Rui-Bin Ren & Mao-Kang Luo & Ke Deng, 2018. "Stochastic resonance in a harmonic oscillator subject to random mass and periodically modulated noise," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(2), pages 1-12, February.
    • Handle: RePEc:spr:eurphb:v:91:y:2018:i:2:d:10.1140_epjb_e2017-80165-9
    DOI: 10.1140/epjb/e2017-80165-9
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    Cited by:

    1. Fang, Yuwen & Luo, Yuhui & Zeng, Chunhua, 2022. "Dichotomous noise-induced negative mass and mobility of inertial Brownian particle," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    2. He, Lifang & Wu, Xia & Zhang, Gang, 2020. "Stochastic resonance in coupled fractional-order linear harmonic oscillators with damping fluctuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).

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    Keywords

    Statistical and Nonlinear Physics;

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