Stochastic resonance across bifurcations in an asymmetric system

2019 ◽  
Vol 525 ◽  
pp. 1296-1312 ◽  
Author(s):  
Haohao Bi ◽  
Youming Lei ◽  
Yanyan Han
Keyword(s):  
Stochastic Resonance ◽  
Asymmetric System

scholarly journals Performance Investigation of Stochastic Resonance in Three Types of Asymmetric Bistable System Driven by Trichotomous Noise

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Si-Hai Zhao ◽  
Jiang-Ye Xu ◽  
Yu-Xiao Liu ◽  
Ze-Xing Zhao ◽  
Zhong-Shun Qin
Keyword(s):  
Stochastic Resonance ◽  
Potential Function ◽  
Signal To Noise Ratio ◽  
Bistable System ◽  
Potential Wells ◽  
Asymmetric System ◽  
Trichotomous Noise ◽  
Periodic Signals ◽  
Detection Effect ◽  
Better Than

This paper proposes a new system whose potential function is with three types of asymmetric potential wells, driven by trichotomous noise. Firstly, the three types of asymmetric bistable system are described in detail, and the changes of asymmetric bistable system potential function under different asymmetric factors are analyzed. Secondly, the effect of potential function parameters, asymmetric factor α , noise intensity D, and the probability of particle transition q is discussed, using numerical simulation. The detection effects of traditional symmetric SR and three types of asymmetric SR are observed and compared under the driving of trichotomous noise and periodic signals. The mean of signal-to-noise ratio gain is the indicator of the system's effectiveness on enhancing weak signal. The results indicate that it can make the detection effect of the asymmetric system better than that of the traditional bistable system by adjusting the parameters of the asymmetric stochastic resonance system and trichotomous noise.

scholarly journals Research and application of weak fault diagnosis method based on asymmetric potential stochastic resonance

2019 ◽  
Vol 52 (5-6) ◽  
pp. 625-633 ◽  
Author(s):  
Zhixing Li ◽  
Boqiang Shi ◽  
Xueping Ren ◽  
Wenyan Zhu
Keyword(s):  
Fault Diagnosis ◽  
Stochastic Resonance ◽  
Signal To Noise Ratio ◽  
Resonance Method ◽  
Bearing Failure ◽  
Asymmetric System ◽  
Symmetric Potential ◽  
Frequency Detection ◽  
Detection Technology ◽  
Potential Structure

Because fault characteristics are often difficult to extract from a strong noise background, it is essential for mechanical fault diagnosis to extract a weak characteristic signal with a very small signal-to-noise ratio from a noisy interference. Therefore, this paper proposes a new method for diagnosing weak faults in asymmetric potential stochastic resonance. Compared with the existing methods, the asymmetric potential stochastic resonance method not only has characteristics common to the symmetric potential stochastic resonance, but can also change the inclination of the barrier and slope of the wall to obtain a better model structure. The proposed method solves the local adjustment problem of the existing method from the perspective of potential structure and optimizes the asymmetric system shape to better target frequency detection during much interference from noise. After simulation, a bearing failure test, and rolling mill gearbox bearing failure experiments, we concluded that the asymmetric potential stochastic resonance detection technology can effectively identify faults. Compared with the symmetric potential stochastic resonance method, the proposed method has better recognition.

Stochastic resonance in the peripheral auditory system

2014 ◽  
Vol 2 ◽  
pp. 417-420
Author(s):  
Florian Gomez ◽  
Stefan Martignoli ◽  
Ruedi Stoop
Keyword(s):  
Stochastic Resonance ◽  
Auditory System ◽  
Peripheral Auditory System

Information Aggregation via Stochastic Resonance in Moments

2014 ◽  
Vol 1 ◽  
pp. 13-16
Author(s):  
Akihisa Ichiki ◽  
Yukihiro Tadokoro
Keyword(s):  
Stochastic Resonance ◽  
Information Aggregation

Hybrid Vibration Energy Harvester based on Stochastic Resonance

2018 ◽  
Vol 138 (5) ◽  
pp. 185-190
Author(s):  
Meng Su ◽  
Dai Kobayashi ◽  
Nobuyuki Takama ◽  
Beomjoon Kim
Keyword(s):  
Stochastic Resonance ◽  
Energy Harvester ◽  
Vibration Energy ◽  
Vibration Energy Harvester

Brexit and the English Question

2017 ◽  
Author(s):  
Stephen Tierney
Keyword(s):  
Intergovernmental Relations ◽  
Constitutional Reform ◽  
Coherent System ◽  
Inadequate Response ◽  
Asymmetric System ◽  
Recent Introduction ◽  
The Uk

The chapter examines Brexit and the English question, arguing that Brexit should be understood as a result of the ongoing demotic process in England. As Tierney explains, the UK is an asymmetric system. England alone constitutes population-wise almost four-fifths of the UK. This has influenced devolution: while since the 1990s power has transferred outwards towards the devolved nations, England herself has never received equivalent constitutional autonomy, or recognition, within the UK. Proposals for regional devolution within England, transferring powers to nationwide cities, have also failed. the recent introduction within the House of Common of the principle ‘English Votes for English Laws’—allowing only MPs elected in English constituencies to vote on laws concerning England alone, thus overcoming the well-known West Lothian question—is also an inadequate response to ever-increasing nationalistic views. To address this situation post-Brexit, Tierney concludes that constitutional reform is necessary, entrenching a coherent system of intergovernmental relations.

Noise-assisted signal transmission via stochastic resonance in a diode nonlinearity

1997 ◽  
Vol 33 (20) ◽  
pp. 1666 ◽  
Author(s):  
X. Godivier ◽  
J. Rojas-Varela ◽  
F. Chapeau-Blondeau
Keyword(s):  
Stochastic Resonance ◽  
Signal Transmission
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