• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
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Volume 56 Issue 2
Apr.  2021
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Article Contents
ZHU Jianqu, JIN Weidong, GUO Feng. Stochastic Resonance of Fractional-Order System with Multiplicative Noise and Random Delay[J]. Journal of Southwest Jiaotong University, 2021, 56(2): 363-370. doi: 10.3969/j.issn.0258-2724.20191181
Citation: ZHU Jianqu, JIN Weidong, GUO Feng. Stochastic Resonance of Fractional-Order System with Multiplicative Noise and Random Delay[J]. Journal of Southwest Jiaotong University, 2021, 56(2): 363-370. doi: 10.3969/j.issn.0258-2724.20191181

Stochastic Resonance of Fractional-Order System with Multiplicative Noise and Random Delay

doi: 10.3969/j.issn.0258-2724.20191181
  • Received Date: 06 Dec 2019
  • Rev Recd Date: 27 Apr 2020
  • Available Online: 06 Aug 2020
  • Publish Date: 15 Apr 2021
  • Time delay is a common characteristic of a dynamic system, which has been widely used in the science field. Fractional calculus has the characteristics of time memory and long-range spatial correlation, which can better describe the physical process with memory and path dependence, but rare literature have studied the phenomenon of stochastic resonance (SR) in a time-delayed fractional system. Therefore, the SR behavior for a fractional-order system with multiplicative noise and random delay is investigated. Based on linear system theory, Laplace transform and small delay approximation approach are used to derive the expression of the output amplitude gain (OAG) for the fractional-order system. It is found that the OAG is a non-monotonous function of the delay-time. The SR behavior appears on the relationship curves between the OAG and the strength and correlate rate of the multiplicative noise, between the OAG and the correlate rate of delay noise, and between the OAG and the fractional exponent and the driving frequency of the system. For relatively small multiplicative noise strength, and for the relatively small or relatively large correlation rate of multiplicative noise, the OAG decreases with the increase of the damping coefficient; while for the relatively large multiplicative noise strength, and for the medium correlation rate of multiplicative noise, the OAG increases with the damping coefficient.

     

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