Stochastic resonance in an asymmetric bistable system driven by coloured correlated multiplicative and additive noise

The asymmetric bistable system with time delays in the feedback force and random force under multiplicative and additive Gaussian noise is studied. Using the small time delay approximation approach and time-delayed Fokker–Planck equations (FPE), the signal-to-noise ratio (SNR) of the proposed stochastic system is obtained. The stochastic resonance (SR) phenomena influenced by parameters — including system parameters [Formula: see text], [Formula: see text], asymmetry parameter [Formula: see text], time delay [Formula: see text], strength [Formula: see text] of the time-delayed feedback, noise intensities [Formula: see text] and [Formula: see text] of multiplicative and additive noise, and correlation strength [Formula: see text] between two noises, are also analyzed by numerical simulations. Results demonstrate that the SR performance of the asymmetric bistable system is superior to one symmetric bistable system. Besides, both time delay and strength of time-delayed feedback could enhance the SR to some extent. Then, the asymmetric time-delayed bistable SR (ATDBSR) method is used to the bearing fault diagnosis. The engineering applications of the ATDBSR method are realized and the value of the method is verified by effective experimental results.

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Stochastic Resonance in Unsaturated Piecewise Nonlinear Bistable System Under Multiplicative and Additive Noise for Bearing Fault Diagnosis

IEEE Access ◽

10.1109/access.2019.2914138 ◽

2019 ◽

Vol 7 ◽

pp. 58435-58448 ◽

Cited By ~ 8

Author(s):

Gang Zhang ◽

Dayun Hu ◽

Tianqi Zhang

Keyword(s):

Fault Diagnosis ◽

Stochastic Resonance ◽

Additive Noise ◽

Bistable System ◽

Bearing Fault ◽

Bearing Fault Diagnosis

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STOCHASTIC RESONANCE IN A TIME-DELAYED BISTABLE SYSTEM WITH COLORED COUPLING BETWEEN NOISE TERMS

International Journal of Modern Physics B ◽

10.1142/s0217979212501494 ◽

2012 ◽

Vol 26 (30) ◽

pp. 1250149 ◽

Cited By ~ 2

Author(s):

XIAOQIN LUO ◽

DAN WU ◽

SHIQUN ZHU

Keyword(s):

Time Delay ◽

Stochastic Resonance ◽

Coupling Strength ◽

Multiplicative Noise ◽

Additive Noise ◽

Bistable System ◽

Initial Condition

The phenomenon of stochastic resonance (SR) in a time-delayed bistable system with colored coupling between multiplicative and additive noise terms is investigated. The SR can be induced by the multiplicative noise, the time delay and the coupling strength between noise terms. Meanwhile, the SR is affected by the initial condition of the system.

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Stochastic Resonance in Bistable Systems: The Effect of Simultaneous Additive and Multiplicative Correlated Noises

Modern Physics Letters B ◽

10.1142/s0217984998001414 ◽

1998 ◽

Vol 12 (28) ◽

pp. 1195-1202 ◽

Cited By ~ 15

Author(s):

Claudio J. Tessone ◽

Horacio S. Wio

Keyword(s):

Stochastic Resonance ◽

Noise Intensity ◽

Additive Noise ◽

Signal To Noise Ratio ◽

Bistable System ◽

Signal To Noise ◽

Multiplicative Noises ◽

Bistable Systems ◽

Resonance Response ◽

Correlated Noises

We analyze the effect of the simultaneous presence of correlated additive and multiplicative noises on the stochastic resonance response of a modulated bistable system. We find that when the correlation parameter is also modulated, the system's response, measured through the output signal-to-noise ratio, becomes largely independent of the additive noise intensity.

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