Correlation function of an optical bistable system with cross-correlated additive white noise and multiplicative colored noise

2009 ◽  
Vol 7 (9) ◽  
pp. 838-840 ◽  
Author(s):  
王兵 Bing Wang ◽  
严少平 Shaoping Yan
Keyword(s):  
Correlation Function ◽  
White Noise ◽  
Colored Noise ◽  
Bistable System ◽  
Additive White Noise

Stochastic resonance and MFPT in an asymmetric bistable system driven by correlated multiplicative colored noise and additive white noise

2017 ◽  
Vol 31 (14) ◽  
pp. 1750113 ◽  
Author(s):  
Pei-Ming Shi ◽  
Qun Li ◽  
Dong-Ying Han
Keyword(s):  
White Noise ◽  
Stochastic Resonance ◽  
Colored Noise ◽  
First Passage Time ◽  
Passage Time ◽  
State Theory ◽  
Bistable System ◽  
Periodic Signal ◽  
Additive White Noise ◽  
Correlation Strength

This paper investigates a new asymmetric bistable model driven by correlated multiplicative colored noise and additive white noise. The mean first-passage time (MFPT) and the signal-to-noise ratio (SNR) as the indexes of evaluating the model are researched. Based on the two-state theory and the adiabatic approximation theory, the expressions of MFPT and SNR have been obtained for the asymmetric bistable system driven by a periodic signal, correlated multiplicative colored noise and additive noise. Simulation results show that it is easier to generate stochastic resonance (SR) to adjust the intensity of correlation strength [Formula: see text]. Meanwhile, the decrease of asymmetric coefficient [Formula: see text] and the increase of noise intensity are beneficial to realize the transition between the two steady states in the system. At the same time, the twice SR phenomena can be observed by adjusting additive white noise and correlation strength. The influence of asymmetry of potential function on the MFPTs in two different directions is different.

Effect of White Noise and Dichotomous Noise in a Bistable System

2011 ◽  
Vol 295-297 ◽  
pp. 2143-2146 ◽  
Author(s):  
Feng Guo ◽  
Xiao Feng Cheng ◽  
Xiao Dong Yuan ◽  
Shao Bo He
Keyword(s):  
White Noise ◽  
Adiabatic Approximation ◽  
Additive Noise ◽  
Signal To Noise Ratio ◽  
Bistable System ◽  
Signal To Noise ◽  
Dichotomous Noise ◽  
System Parameters ◽  
Additive White Noise ◽  
Asymmetric Dichotomous Noise

The stochastic resonance in a bistable system subject to asymmetric dichotomous noise and multiplicative and additive white noise is investigated. By using the properties of the dichotomous noise, under the adiabatic approximation condition, the expression of the signal-to-noise ratio (SNR) is obtained. It is found that the SNR is a non-monotonic function of the asymmetry of the dichotomous noise, and it varies non-monotonously with the intensities of the multiplicative and additive noise as well as with the system parameters. Moreover, the SNR depends on the correlation rate of the dichotomous noise.

FLUCTUATION-INDUCED SYMMETRY BREAKING IN A BISTABLE SYSTEM: A GENERIC MECHANISM OF SELECTION BETWEEN COMPETING OPTIONS

2004 ◽  
Vol 14 (07) ◽  
pp. 2399-2405 ◽  
Author(s):  
S. C. NICOLIS
Keyword(s):  
Symmetry Breaking ◽  
White Noise ◽  
Evolution Equations ◽  
System Modeling ◽  
Internal Variability ◽  
The State ◽  
Bistable System ◽  
System A ◽  
Additive White Noise

A two-variable bistable system modeling the selection between competing options is considered in the presence of additive white noise, representing environmental or internal variability. It is shown that when the strengths of the noises acting on the evolution equations of the two variables are different a symmetry-breaking process takes place, whereby the state in which the excess variable is perturbed by the strongest noise becomes predominant.

STOCHASTIC RESONANCE ENHANCED BY WHITE NOISE IN A STOCHASTIC BISTABLE SYSTEM

2011 ◽  
Vol 25 (28) ◽  
pp. 3797-3804 ◽  
Author(s):  
GUO FENG ◽  
YU-RONG ZHOU ◽  
SHAO-FU LI
Keyword(s):  
White Noise ◽  
Stochastic Resonance ◽  
Additive Noise ◽  
Signal To Noise Ratio ◽  
Bistable System ◽  
Static Force ◽  
Noise Strength ◽  
Signal To Noise ◽  
System Parameters ◽  
Additive White Noise

The stochastic resonance (SR) for a stochastic bistable system driven by a static force and a periodic square-wave signal as well as by additive white noise is considered from the view of signal-to-noise ratio (SNR). It is found that the SNR appears SR behavior when it is plotted as a function of the additive noise strength or as a function of the system parameters. Moreover, the influence of the static force is opposite to that of the amplitude of the stochastic potential.

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