scholarly journals Analysis of inverse stochastic resonance and the long-term firing of Hodgkin–Huxley neurons with Gaussian white noise

2012 ◽  
Vol 391 (22) ◽  
pp. 5311-5325 ◽  
Author(s):  
Henry C. Tuckwell ◽  
Jürgen Jost
Keyword(s):  
White Noise ◽  
Stochastic Resonance ◽  
Gaussian White Noise

STOCHASTIC RESONANCE IN SATURATION NONLINEARITIES BASED ON SIGNAL DETECTION

2008 ◽  
Vol 08 (02) ◽  
pp. L229-L235 ◽  
Author(s):  
LEI ZHANG ◽  
JUN HE ◽  
AIGUO SONG
Keyword(s):  
Signal Detection ◽  
White Noise ◽  
Stochastic Resonance ◽  
Gaussian White Noise ◽  
Detection Performance ◽  
Sinusoidal Signal ◽  
Signal Noise ◽  
Noise Ratio

Recently, it was reported that some saturation nonlinearities could effectively act as noise-aided signal-noise-ratio amplifiers. In the letter we consider the signal detection performance of saturation nonlinearities driven by a sinusoidal signal buried in Gaussian white noise. It is showed that the signal detection statistics still undergo a nonmonotonic evolution as noise is raised. We also particularly show that an improvement of the SNR in terms of the first harmonic does not imply the possibility to improve the signal detection performance through stochastic resonance. The study might also complement other reports about stochastic resonance in saturation nonlinearities.

Research on Virtual-Switch Characteristics of Noise-Enhanced Stochastic Resonance Using Leaky Integrate-and-Fire Model

2010 ◽  
Vol 439-440 ◽  
pp. 1324-1327
Author(s):  
Guo Hua Hui
Keyword(s):  
White Noise ◽  
Stochastic Resonance ◽  
Noise Intensity ◽  
Neuron Model ◽  
Gaussian White Noise ◽  
Spike Trains ◽  
Neural Data ◽  
Fire Model ◽  
Integrate And Fire ◽  
Lif Neuron

Virtual-switch characteristics of noise-induced stochastic resonance using leaky integrate-and-fire (LIF) model was focused in this article. For LIF neuron model, Gaussian white noise was added to the simulating system. The condition of spike-starting was studied through the system. With the increase of noise intensity, the stimulated spikes became more and more intensive. With proper white noise intensity, the amount of excitatory spikes was enough to generate spike trains. We expected to design a virtual-switch utilizing this mechanism for neural data processing field.

Probabilistic analysis and ghost-stochastic resonance of a hybrid energy harvester under Gaussian White noise

Meccanica ◽  
2020 ◽  
Vol 55 (9) ◽  
pp. 1679-1691
Author(s):  
G. J. Fezeu ◽  
I. S. Mokem Fokou ◽  
C. Nono Dueyou Buckjohn ◽  
M. Siewe Siewe ◽  
C. Tchawoua
Keyword(s):  
White Noise ◽  
Stochastic Resonance ◽  
Probabilistic Analysis ◽  
Energy Harvester ◽  
Gaussian White Noise ◽  
Hybrid Energy ◽  
Hybrid Energy Harvester

DIGITAL INFORMATION RECEIVER BASED ON STOCHASTIC RESONANCE

2003 ◽  
Vol 13 (01) ◽  
pp. 233-236 ◽  
Author(s):  
S. MORFU ◽  
J. M. BILBAULT ◽  
J. C. COMTE
Keyword(s):  
White Noise ◽  
Stochastic Resonance ◽  
Gaussian White Noise ◽  
Complete Data ◽  
Digital Data ◽  
Digital Information ◽  
Real Experiment ◽  
Data Restoration

An electronic receiver based on stochastic resonance is presented to rescue subthreshold modulated digital data. In real experiment, it is shown that a complete data restoration is achieved for both uniform and Gaussian white noise.

scholarly journals Stochastic P-bifurcation in a bistable Van der Pol oscillator with fractional time-delay feedback under Gaussian white noise excitation

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Yajie Li ◽  
Zhiqiang Wu ◽  
Guoqi Zhang ◽  
Feng Wang ◽  
Yuancen Wang
Keyword(s):  
Time Delay ◽  
White Noise ◽  
Gaussian White Noise ◽  
Singularity Theory ◽  
Van Der Pol Oscillator ◽  
Order System ◽  
Damping Force ◽  
Van Der Pol ◽  
Restoring Force ◽  
White Noise Excitation

Abstract The stochastic P-bifurcation behavior of a bistable Van der Pol system with fractional time-delay feedback under Gaussian white noise excitation is studied. Firstly, based on the minimal mean square error principle, the fractional derivative term is found to be equivalent to the linear combination of damping force and restoring force, and the original system is further simplified to an equivalent integer order system. Secondly, the stationary Probability Density Function (PDF) of system amplitude is obtained by stochastic averaging, and the critical parametric conditions for stochastic P-bifurcation of system amplitude are determined according to the singularity theory. Finally, the types of stationary PDF curves of system amplitude are qualitatively analyzed by choosing the corresponding parameters in each area divided by the transition set curves. The consistency between the analytical solutions and Monte Carlo simulation results verifies the theoretical analysis in this paper.

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