Noise sensitivity of phase-synchronization time in stochastic resonance: Theory and experiment

2007 ◽  
Vol 75 (4) ◽  
Author(s):  
Kwangho Park ◽  
Ying-Cheng Lai ◽  
Satish Krishnamoorthy
2003 ◽  
Vol 03 (02) ◽  
pp. L195-L204 ◽  
Author(s):  
JAN A. FREUND ◽  
SYLVAIN BARBAY ◽  
STEFANO LEPRI ◽  
ALESSANDRO ZAVATTA ◽  
GIOVANNI GIACOMELLI

The beneficial role fluctuations can play in the process of phase synchronization is analyzed in terms of a model with binary input and output signals. Special attention is paid to the relation between noise-induced phase synchronization and the well-known phenomenon of stochastic resonance. Analytic predictions are compared with experimental data from a vertical cavity surface emitting laser. Various measures for aperiodic stochastic resonance, frequency entrainment and stochastic phase synchronization reveal a satisfactory agreement between theory and experiment.


2005 ◽  
Vol 17 (47) ◽  
pp. S3795-S3809 ◽  
Author(s):  
Mykhaylo Evstigneev ◽  
Peter Reimann ◽  
Carmen Schmitt ◽  
Clemens Bechinger

2021 ◽  
Vol 11 (23) ◽  
pp. 11480
Author(s):  
Hongjiang Cui ◽  
Ying Guan ◽  
Wu Deng

Aiming at the problems of poor decomposition quality and the extraction effect of a weak signal with strong noise by empirical mode decomposition (EMD), a novel fault diagnosis method based on cascaded adaptive second-order tristable stochastic resonance (CASTSR) and EMD is proposed in this paper. In the proposed method, low-frequency interference components are filtered by using high-pass filtering, and the restriction conditions of stochastic resonance theory are solved by using an ordinary variable-scale method. Then, a chaotic ant colony optimization algorithm with a global optimization ability is employed to adaptively adjust the parameters of the second-order tristable stochastic resonance system to obtain the optimal stochastic resonance, and noise reduction pretreatment technology based on CASTSR is developed to enhance the weak signal characteristics of low frequency. Next, the EMD is employed to decompose the denoising signal and extract the characteristic frequency from the intrinsic mode function (IMF), so as to realize the fault diagnosis of rolling bearings. Finally, the numerical simulation signal and actual bearing fault data are selected to prove the validity of the proposed method. The experiment results indicate that the proposed fault diagnosis method can enhance the decomposition quality of the EMD, effectively extract features of weak signals, and improve the accuracy of fault diagnosis. Therefore, the proposed fault diagnosis method is an effective fault diagnosis method for rotating machinery.


2005 ◽  
Vol 15 (2) ◽  
pp. 026115 ◽  
Author(s):  
Jesús Casado-Pascual ◽  
José Gómez-Ordóñez ◽  
Manuel Morillo

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