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Research and application of stochastic resonance in quad-stable potential system |
| Li-Fang He(贺利芳), Qiu-Ling Liu(刘秋玲)†, and Tian-Qi Zhang(张天骐) |
| School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications(CQUPT), Chongqing 400065, China |
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Abstract To solve the problem of low weak signal enhancement performance in the quad-stable system, a new quad-stable potential stochastic resonance (QSR) is proposed. Firstly, under the condition of adiabatic approximation theory, the stationary probability distribution (SPD), the mean first passage time (MFPT), the work (W), and the power spectrum amplification factor (SAF) are derived, and the impacts of system parameters on them are also extensively analyzed. Secondly, numerical simulations are performed to compare QSR with the classical Tri-stable stochastic resonance (CTSR) by using the genetic algorithm (GA) and the fourth-order Runge-Kutta algorithm. It shows that the signal-to-noise ratio (SNR) and mean signal-to-noise increase (MSNRI) of QSR are higher than CTSR, which indicates that QSR has superior noise immunity than CTSR. Finally, the two systems are applied in the detection of real bearing faults. The experimental results show that QSR is superior to CTSR, which provides a better theoretical significance and reference value for practical engineering application.
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Received: 19 October 2021
Revised: 16 November 2021
Accepted manuscript online: 11 December 2021
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PACS:
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05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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05.45.-a
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(Nonlinear dynamics and chaos)
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05.40.Fb
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(Random walks and Levy flights)
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02.60.Cb
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(Numerical simulation; solution of equations)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61771085) and the Research Project of Chongqing Educational Commission (Grant Nos. KJ1600407 and KJQN201900601). |
Corresponding Authors:
Qiu-Ling Liu
E-mail: 1216881140@qq.com
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Cite this article:
Li-Fang He(贺利芳), Qiu-Ling Liu(刘秋玲), and Tian-Qi Zhang(张天骐) Research and application of stochastic resonance in quad-stable potential system 2022 Chin. Phys. B 31 070503
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