Stochastic Resonance Enhanced by Colored Multiplicative and Additive Noises in a Time-Delayed Bistable System

2012 ◽  
Vol 538-541 ◽  
pp. 2598-2601
Author(s):  
Feng Bao Li ◽  
Xiao Yan Lei ◽  
Fu Cheng Zhu
Keyword(s):  
Stochastic Resonance ◽  
Colored Noise ◽  
Signal To Noise Ratio ◽  
Bistable System ◽  
Constant Force ◽  
Signal To Noise ◽  
Dichotomous Noise ◽  
Square Wave ◽  
Wave Signal ◽  
Asymmetric Dichotomous Noise

The phenomenon of stochastic resonance (SR) in a time-delayed bistable system with square-wave signal, a constant force, with asymmetric dichotomous noise and multiplicative and additive colored noise is investigated. It is found that, the SR behavior can be observed on the signal-to-noise ratio (SNR) curves as a function of the intensity and asymmetry of the dichotomous noise, as a function of the amplitude of the square-wave, the constant force, as well as of the strength of the colored noises.

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.

Effect of Time-Delay in a Time-Delayed Mono-Stable System Subject to White Noise and Dichotomous Noise

2012 ◽  
Vol 538-541 ◽  
pp. 2567-2570
Author(s):  
Fu Cheng Zhu ◽  
Feng Bao Li
Keyword(s):  
System Parameter ◽  
Additive Noise ◽  
Signal To Noise Ratio ◽  
Stable System ◽  
Static Force ◽  
Signal To Noise ◽  
Dichotomous Noise ◽  
Square Wave ◽  
Wave Signal ◽  
Delayed Time

The stochastic resonance (SR) for a time-delayed mono-stable system, driven by periodic square-wave signal, a dichotomous noise and a static force as well as multiplicative and additive noise is considered. It is found that the output signal-to-noise ratio (SNR) increases monotonically with the increase of the delayed time. The SNR varies non-monotonically with the intensities of the dichotomous noise and multiplicative and additive noise as well as the system parameter and the amplitude of the input square-wave signal.

Role of Time Delay and Noise Color in Bistable System with Dichotomous Noise

2011 ◽  
Vol 295-297 ◽  
pp. 2147-2150
Author(s):  
Xiao Feng Cheng ◽  
Feng Guo ◽  
Xiao Dong Yuan ◽  
Shao Bo He
Keyword(s):  
Time Delay ◽  
Colored Noise ◽  
Signal To Noise Ratio ◽  
Bistable System ◽  
Limit Condition ◽  
Dichotomous Noise ◽  
Small Delay ◽  
Delayed Time ◽  
Asymmetric Dichotomous Noise

The effect of time delay and noise color in a time-delayed bistable system subject to asymmetric dichotomous noise and colored noise as well as to square-wave signal is studied. Applying small delay-time approximation, under the adiabatic limit condition, we obtain the expression of the signal-to-noise ratio (SNR) of the system. By virtue of the SNR expression, we find that, the SNR varies non-monotonously with the delayed-time and the correlation of the colored noise. Moreover, the SNR exhibits SR behavior as a function of the strength of the colored noise

scholarly journals Stochastic Resonance in Bistable Systems: The Effect of Simultaneous Additive and Multiplicative Correlated Noises

1998 ◽  
Vol 12 (28) ◽  
pp. 1195-1202 ◽  
Author(s):  
Claudio J. Tessone ◽  
Horacio S. Wio
Keyword(s):  
Stochastic Resonance ◽  
Noise Intensity ◽  
Additive Noise ◽  
Signal To Noise Ratio ◽  
Bistable System ◽  
Signal To Noise ◽  
Multiplicative Noises ◽  
Bistable Systems ◽  
Resonance Response ◽  
Correlated Noises

We analyze the effect of the simultaneous presence of correlated additive and multiplicative noises on the stochastic resonance response of a modulated bistable system. We find that when the correlation parameter is also modulated, the system's response, measured through the output signal-to-noise ratio, becomes largely independent of the additive noise intensity.

Stochastic resonance in a stochastic bistable system with additive noises and square–wave signal

2010 ◽  
Vol 19 (8) ◽  
pp. 080502 ◽  
Author(s):  
Guo Feng ◽  
Luo Xiang-Dong ◽  
Li Shao-Fu ◽  
Zhou Yu-Rong
Keyword(s):  
Stochastic Resonance ◽  
Bistable System ◽  
Square Wave ◽  
Wave Signal

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.

Stochastic resonance in a monostable system driven by square–wave signal and dichotomous noise

2010 ◽  
Vol 19 (8) ◽  
pp. 080504 ◽  
Author(s):  
Guo Feng ◽  
Luo Xiang-Dong ◽  
Li Shao-Fu ◽  
Zhou Yu-Rong
Keyword(s):  
Stochastic Resonance ◽  
Dichotomous Noise ◽  
Square Wave ◽  
Wave Signal
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