Applications of stochastic resonance to machinery fault detection: A review and tutorial

Z Qiao, Y Lei, N Li - Mechanical Systems and Signal Processing, 2019 - Elsevier
Fault detection is a key tool to ensure the safety and reliability of machinery. In machinery
fault detection, signal processing methods are extensively applied to extract fault …

Stochastic resonance

L Gammaitoni, P Hänggi, P Jung, F Marchesoni - Reviews of modern physics, 1998 - APS
Over the last two decades, stochastic resonance has continuously attracted considerable
attention. The term is given to a phenomenon that is manifest in nonlinear systems whereby …

Amplification of small signals via stochastic resonance

P Jung, P Hänggi - Physical review A, 1991 - APS
Stochastic resonance is a cooperative effect of noise and periodic driving in bistable
systems. It can be used for the detection and amplification of weak signals embedded within …

Periodically driven stochastic systems

P Jung - Physics Reports, 1993 - Elsevier
Activation processes in classical metastable systems in the presence of periodic driving
have recently become subject of growing research activity, stimulated by exciting new …

Stochastic Resonance as a Bona Fide Resonance

L Gammaitoni, F Marchesoni, S Santucci - Physical Review Letters, 1995 - APS
Stochastic resonance in a bistable potential is fully characterized as a synchronization effect
of the hopping mechanism induced by the external periodic bias. Most notably …

Stochastic theory of nonequilibrium steady states and its applications. Part I

XJ Zhang, H Qian, M Qian - Physics Reports, 2012 - Elsevier
The concepts of equilibrium and nonequilibrium steady states are introduced in the present
review as mathematical concepts associated with stationary Markov processes. For both …

Stochastic resonance in a single neuron model: Theory and analog simulation

A Bulsara, EW Jacobs, T Zhou, F Moss… - Journal of Theoretical …, 1991 - Elsevier
Here, we consider a noisy, bistable, single neuron model in the presence of periodic
external modulation. The modulation induces a correlated switching between states driven …

Periodically forced Fokker-Planck equation and stochastic resonance

H Gang, G Nicolis, C Nicolis - Physical Review A, 1990 - APS
The time-dependent solution of the periodically forced Fokker-Planck equation is
determined, following an iteration procedure. The mixing property of the system is verified …

Escape-time distributions of a periodically modulated bistable system with noise

T Zhou, F Moss, P Jung - Physical Review A, 1990 - APS
In this paper a periodically driven, bistable system with additive noise is considered in the
overdamped limit. Here we have adopted the probability density of residence times as the …

Stochastic resonance in perspective

MI Dykman, DG Luchinsky, R Mannella… - Il Nuovo Cimento …, 1995 - Springer
We outline the historical development of stochastic resonance (SR), a phenomenon in which
the signal and/or the signal-to-noise ratio in a nonlinear system increase with increasing …