Stochastic resonance in a fractional order linear oscillator with random characteristic frequency and time-delayed kernel function

ZHU Fucheng1, GUO Feng2

Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (7) : 75-80.

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PDF(1072 KB)
Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (7) : 75-80.

Stochastic resonance in a fractional order linear oscillator with random characteristic frequency and time-delayed kernel function

  • ZHU Fucheng1, GUO Feng2
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Abstract

Stochastic resonance (SR) phenomena in a fractional order linear oscillator with time-delayed kernel function and random characteristic frequency were investigated. Base on the linear system theory, using Laplace transformation, the analytical expression for the system output amplitude (SOA) of a fractional order oscillator was derived. It was shown that SOA is a periodic function of delayed-time of the kernel function; SR phenomena appear in relation curves of SOA versus noise correlation rate, SOA versus noise amplitude, and SOA versus fractional dimension, respectively. The non-monotonous dependence of SOA on system parameters and noise steady-state probability was analyzed.

Key words

stochastic resonance (SR) / fractional order linear oscillator / time-delayed kernel function / random characteristic frequency

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ZHU Fucheng1, GUO Feng2. Stochastic resonance in a fractional order linear oscillator with random characteristic frequency and time-delayed kernel function[J]. Journal of Vibration and Shock, 2021, 40(7): 75-80

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