Stochastic resonance in parabolic-bistable potential system with an additive colour noise

2003 ◽  
Vol 12 (4) ◽  
pp. 377-380 ◽  
Author(s):  
Liang Gui-Yun
Keyword(s):  
Stochastic Resonance ◽  
Potential System ◽  
Colour Noise ◽  
Bistable Potential

Stochastic resonance in an underdamped triple-well potential system

2019 ◽  
Vol 346 ◽  
pp. 352-362 ◽  
Author(s):  
Pengfei Xu ◽  
Yanfei Jin ◽  
Yanxia Zhang
Keyword(s):  
Stochastic Resonance ◽  
Potential System

SIGNAL-TO-NOISE RATIO IN STOCHASTIC RESONANCE

1996 ◽  
Vol 10 (22) ◽  
pp. 1085-1094 ◽  
Author(s):  
A.K. CHATTAH ◽  
C.B. BRIOZZO ◽  
O. OSENDA ◽  
M.O. CÁCERES
Keyword(s):  
Stochastic Resonance ◽  
Brownian Particle ◽  
Theoretical Calculations ◽  
Signal To Noise Ratio ◽  
Planck Equation ◽  
Signal To Noise ◽  
Desktop Computer ◽  
Bistable Potential ◽  
Noise Ratio ◽  
Path Integral Method

We solve the Fokker-Planck equation for an overdamped Brownian particle in a periodically forced bistable potential by means of a path integral method, obtaining the propagators in the steepest-descent (small-noise) approximation. We compute the long-times asymptotic probability distribution, the asymptotic correlation functions, and the time-averaged spectral density, which allows us the immediate calculation of the signal to noise ratio, a directly measurable quantity useful to characterize the phenomenon of stochastic resonance. Our numerical algorithm is fast and runs on a desktop computer, and the results agree with experiments and with former theoretical calculations of the amplification factor; in addition it allows us to calculate the experimentally more accessible signal to noise ratio.

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