Stochastic resonance: Tutorial and update

F Moss, D Pierson, D O'GORMAN - International Journal of …, 1994 - World Scientific
Stochastic resonance is by now a well studied phenomenon whereby certain nonlinear
systems, subject to weak input signals, have the property that the presentation of stochastic …

Adaptive stochastic resonance

S Mitaim, B Kosko - Proceedings of the IEEE, 1998 - ieeexplore.ieee.org
This paper shows how adaptive systems can learn to add an optimal amount of noise to
some nonlinear feedback systems. This" stochastic resonance"(SR) effect occurs in a wide …

Study of frequency-shifted and re-scaling stochastic resonance and its application to fault diagnosis

J Tan, X Chen, J Wang, H Chen, H Cao, Y Zi… - Mechanical systems and …, 2009 - Elsevier
When detecting a weak and high-frequency signal submerged in strong noise, the existing
large parameter stochastic resonance (LPSR) models need either a high sampling …

Theory of stochastic resonance in signal transmission by static nonlinear systems

F Chapeau-Blondeau, X Godivier - Physical Review E, 1997 - APS
A deterministic periodic signal plus a stationary random noise is applied to a static
nonlinearity taking the form of a monovariable arbitrary function on real numbers. The …

Analogue studies of nonlinear systems

DG Luchinsky, PVE McClintock… - Reports on Progress in …, 1998 - iopscience.iop.org
The design of analogue electronic experiments to investigate phenomena in nonlinear
dynamics, especially stochastic phenomena, is described in practical terms. The advantages …

A novel mechanical fault signal feature extraction method based on unsaturated piecewise tri-stable stochastic resonance

S Zhao, P Shi, D Han - Measurement, 2021 - Elsevier
Stochastic resonance (SR) is widely studied in signal feature extraction. The standard tri-
stable SR (STSR) method possesses superior performance than the classical bistable SR …

Mean switching frequency locking in stochastic bistable systems driven by a periodic force

B Shulgin, A Neiman, V Anishchenko - Physical review letters, 1995 - APS
The nonlinear response of noisy bistable systems driven by a strong amplitude-periodic
force is investigated by physical experiment. The new phenomenon of locking of the mean …

An improved multiscale noise tuning of stochastic resonance for identifying multiple transient faults in rolling element bearings

J Wang, Q He, F Kong - Journal of Sound and Vibration, 2014 - Elsevier
Stochastic resonance (SR), a noise-assisted tool, has been proved to be very powerful in
weak signal detection. The multiscale noise tuning SR (MSTSR), which breaks the restriction …

Novel bearing fault diagnosis algorithm based on the method of moments for stochastic resonant systems

Y Fu, Y Kang, R Liu - IEEE Transactions on Instrumentation and …, 2020 - ieeexplore.ieee.org
The principle of stochastic resonance (SR) in the noisy Duffing oscillator model has shown
benefit for designing novel mechanical fault diagnosis algorithms, where noise is utilized …

[HTML][HTML] Stochastic resonance of multi-stable dynamical systems: A review

JIN Yanfei, XU Pengfei, LI Yongge, MA Jinzhong… - 力学进展, 2023 - lxjz.cstam.org.cn
The nonlinear stochastic dynamical system has been an important subject in areas of
mechanics, mathematics, engineering and so on, and finds various applications in different …