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Stochastic multiresonance for a fractional linear oscillator with time-delayed kernel and quadratic noise

Author

Listed:
  • Guo, Feng
  • Wang, Xue-Yuan
  • Zhu, Cheng-Yin
  • Cheng, Xiao-Feng
  • Zhang, Zheng-Yu
  • Huang, Xu-Hui

Abstract

The stochastic resonance for a fractional oscillator with time-delayed kernel and quadratic trichotomous noise is investigated. Applying linear system theory and Laplace transform, the system output amplitude (SPA) for the fractional oscillator is obtained. It is found that the SPA is a periodical function of the kernel delayed-time. Stochastic multiplicative phenomenon appears on the SPA versus the driving frequency, versus the noise amplitude, and versus the fractional exponent. The non-monotonous dependence of the SPA on the system parameters is also discussed.

Suggested Citation

  • Guo, Feng & Wang, Xue-Yuan & Zhu, Cheng-Yin & Cheng, Xiao-Feng & Zhang, Zheng-Yu & Huang, Xu-Hui, 2017. "Stochastic multiresonance for a fractional linear oscillator with time-delayed kernel and quadratic noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 487(C), pages 205-214.
    • Handle: RePEc:eee:phsmap:v:487:y:2017:i:c:p:205-214
    DOI: 10.1016/j.physa.2017.06.025
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    References listed on IDEAS

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    1. Jin, Yanfei & Hu, Haiyan, 2007. "Coherence and stochastic resonance in a delayed bistable system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(2), pages 423-429.
    2. Guo, Feng & Zhu, Cheng-Yin & Cheng, Xiao-Feng & Li, Heng, 2016. "Stochastic resonance in a fractional harmonic oscillator subject to random mass and signal-modulated noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 459(C), pages 86-91.
    3. Jin, Yanfei, 2012. "Noise-induced dynamics in a delayed bistable system with correlated noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(5), pages 1928-1933.
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    Cited by:

    1. Guo, Feng & Wang, Xue-yuan & Qin, Ming-wei & Luo, Xiang-dong & Wang, Jian-wei, 2021. "Resonance phenomenon for a nonlinear system with fractional derivative subject to multiplicative and additive noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).

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