scholarly journals Mechanism for the coexistence phenomenon of random phase suppressing chaos and stochastic resonance in Duffing system

2015 ◽  
Vol 64 (10) ◽  
pp. 100501
Author(s):  
Li Shuang ◽  
Li Qian ◽  
Li Jiao-Rui
Keyword(s):  
Stochastic Resonance ◽  
Random Phase ◽  
Duffing System

scholarly journals Research on the Cooperative Detection of Stochastic Resonance and Chaos for Weak SNR Signals in Measurement While Drilling

Sensors ◽  
2021 ◽  
Vol 21 (9) ◽  
pp. 3011
Author(s):  
Yi Yang ◽  
Fei Li ◽  
Nan Zhang ◽  
Aiqing Huo
Keyword(s):  
Stochastic Resonance ◽  
Scale Transformation ◽  
Attitude Measurement ◽  
Limit Condition ◽  
Duffing System ◽  
Detection Model ◽  
Frequency Detection ◽  
Measurement Signal ◽  
Measurement While Drilling ◽  
Well Trajectory

In the process of drilling, severe downhole vibration causes attitude measurement sensors to be erroneous; the errors will accumulate gradually during the inclination calculation. As a result, the ultimate well path could deviate away from the planned trajectory. In order to solve this problem, this paper utilized the stochastic resonance (SR) and chaos phase transition (CPT) produced by the second-order Duffing system to identify the frequency and estimate the parameters of the signal during measurement while drilling. Firstly, the idea of a variable-scale is introduced in order to reconstruct the frequency of the attitude measurement signal, and an SR frequency detection model based on a scale transformation Duffing system is established in order to meet the frequency limit condition of the SR. Then, an attitude measurement signal with a known frequency value is input into the Duffing chaos system, and the scale transformation is used again to make the frequency value meet the parameter requirement of chaos detection. Finally, two Duffing oscillators with different initial phases of their driving signal are combined in order to estimate the amplitude and phase parameters of the measurement signal by using their CPT characteristics. The results of the laboratory test and the field-drilling data demonstrated that the proposed algorithm has good immunity to the interference noise in the attitude measurement sensor, improving the solution accuracy of the inclination in a severe noise environment and thus ensuring the dynamic stability of the well trajectory.

scholarly journals Stochastic resonance of cascaded bistable duffing system

2013 ◽  
Vol 62 (7) ◽  
pp. 070503
Author(s):  
Lai Zhi-Hui ◽  
Leng Yong-Gang ◽  
Fan Sheng-Bo
Keyword(s):  
Stochastic Resonance ◽  
Duffing System

Experimental Analysis of Stochastic Resonance in a Duffing System

2002 ◽  
Vol 20 (1) ◽  
pp. 28-30 ◽  
Author(s):  
Wang Fu-Zhong ◽  
Chen Wei-Shi ◽  
Qin Guang-Rong ◽  
Guo De-Yong ◽  
Liu Jun-Ling
Keyword(s):  
Stochastic Resonance ◽  
Experimental Analysis ◽  
Duffing System

The Application Research of Detecting Weak Random Binary Code Based on Stochastic Resonance

2011 ◽  
Vol 65 ◽  
pp. 13-16
Author(s):  
Dan Hui Wu
Keyword(s):  
Stochastic Resonance ◽  
Binary Code ◽  
Detection Methods ◽  
Small Signal ◽  
Application Research ◽  
Signal To Noise ◽  
Détection Signal ◽  
Resonance Technique ◽  
Duffing System ◽  
Detection Signal

The phenomenon of stochastic resonance based on two-dimensional bistable Duffing system under the conditions of small signal is analyzed in this paper; the detection methods of faint random binary code based on stochastic resonance technique of Duffing system is presented, Using this method, under the conditions of no knowing detection signal any priori knowledge, the detection signal waveform can be estimated, what’s more, the ratio of signal to noise of detecting weak random binary code can be achieved -25dB below, and the computer simulation verifies the method effectiveness. As a result, the research in the paper provides the a feasible and efficient method of weak random binary code detection under the conditions of Strong noise background

Étude de la formation de couches organiques auto assemblées à l'aide de la spectroscopie d'impédance électrochimique "odd random phase multisine"

2007 ◽  
Vol 95 ◽  
pp. 411-415
Author(s):  
T. Hauffman ◽  
J.-B. Jorcin ◽  
Y. V. Ingelgem ◽  
T. Breugelmans ◽  
E. Tourwe ◽  
...  
Keyword(s):  
Random Phase
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