Stochastic Resonance

Rajasekar, S.; Sanjuán, Miguel A. F.

doi:10.1007/978-3-319-24886-8_2

Springer Series in Synergetics

2015

DOI: 10.1007/978-3-319-24886-8_2

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Stochastic Resonance

S. Rajasekar¹,

Miguel A. F. Sanjuán²

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Cited by 2 publications

References 137 publications

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Coherence resonance and stochastic bifurcation behaviors of simplified standing-wave thermoacoustic systems

Zhao

Shi

2019

The Journal of the Acoustical Society of America

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In this work, noise-induced motions (i.e., external fluctuations) in two modelled standing-wave thermoacoustic systems are studied when these systems are close to the deterministic stability boundary. These systems include (1) open-open (i.e., Rijke-type) and ( 2) closed-open boundary conditions. It is found from the smooth transitions of the stationary probability density function that the thermoacoustic system is destabilized via stochastic P bifurcation, as the external noise intensity is continuously increased. In addition, the increased noise intensity can shift the hysteresis region, which makes the system more prone to quasi-periodic oscillations, but also reduces the hysteresis area. The noise-induced coherence motions are observed numerically in the open-open system, which is denoted by the occurrence of a bell-shaped signal to noise ratio (SNR). The SNR is shown to be applicable as a precursor. It becomes larger and the optimal noise intensity is decreased as the modelled thermoacoustic system approaches the critical bifurcation point. In addition, coherence resonance is observed in the closed-open system. To validate the findings, experimental studies are conducted on an open-open Rijke tube. Good qualitative agreements are obtained. The present study shed lights on the stochastic and coherence behaviors of the standing-wave thermoacoustic systems with different boundary conditions. V

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Coherence resonance and stochastic bifurcation behaviors of simplified standing-wave thermoacoustic systems

Zhao

Shi

2019

The Journal of the Acoustical Society of America

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Application of Improved Phase Lock Method in Weak Signal Extraction

Lou

Hao

Zhang

et al. 2022

Mathematical Problems in Engineering

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The existing method of the weak signal under the background of strong noise (signal amplitude relative to the noise amplitude is much smaller) analysis is not very ideal. This study proposes an improved phase lock method to analyze the weak periodic signal under Gaussian white noise. Experimental results show that this method can better analyze weak signal-related information than the stochastic resonance method in a certain range of signal-to-noise ratio, and the amount of calculation is small, and the correlation theory is simple and adapted to the rapid detection of the signal; in order to further reduce the amount of calculation, the introduction of a high-order accumulation of the signal presence detection, experiments verify that the high-order accumulation can detect whether there is a weak signal in the Gaussian noise. The combination of high-order cumulant and improved phase lock method has a good effect on the analysis of weak periodic signals under strong noise backgrounds.

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Stochastic Resonance

Cited by 2 publications

References 137 publications

Coherence resonance and stochastic bifurcation behaviors of simplified standing-wave thermoacoustic systems

Coherence resonance and stochastic bifurcation behaviors of simplified standing-wave thermoacoustic systems

Application of Improved Phase Lock Method in Weak Signal Extraction

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