The phenomenon of stochastic resonance （SR） in an asymmetric mono-stable system subject to two external periodic forces and multiplicative and additive noise is investigated. It is shown that the signal-to-noise rat...The phenomenon of stochastic resonance （SR） in an asymmetric mono-stable system subject to two external periodic forces and multiplicative and additive noise is investigated. It is shown that the signal-to-noise ratio （SNR） for the fundamental and higher harmonics is a non-monotonic function of the intensities of the multiplicative and additive noise, as well as of the system parameter. Moreover, the SNR for the fundamental harmonic decreases with the increase of the system asymmetry, while the SNR for the higher harmonics behaves non-monotonically as the system asymmetry varies.展开更多
The vibrational resonance and stochastic resonance phenomena in the FitzHugh–Nagumo(FHN)neural model,driven by a high-frequency(HF)signal and a low-frequency(LF)signal and by coupled multiplicative and additive noise...The vibrational resonance and stochastic resonance phenomena in the FitzHugh–Nagumo(FHN)neural model,driven by a high-frequency(HF)signal and a low-frequency(LF)signal and by coupled multiplicative and additive noises,is investigated.For the case that the frequency of the HF signal is much higher than that of the LF signal,under the adiabatic approximation condition,the expression of the signal-to-noise ratio(SNR)with respect to the LF signal is obtained.It is shown that the SNR is a non-monotonous function of the amplitude and frequency of the HF signal.In addition,the SNR varies non-monotonically with the increasing intensities of the multiplicative and additive noise as well as with the increasing system parameters of the FHN model.The influence of the coupling strength between the multiplicative and additive noises on the SNR is discussed.展开更多
基金supported by the Doctor Foundation of SWUST of China under Grant No.08ZX7108
文摘The phenomenon of stochastic resonance （SR） in an asymmetric mono-stable system subject to two external periodic forces and multiplicative and additive noise is investigated. It is shown that the signal-to-noise ratio （SNR） for the fundamental and higher harmonics is a non-monotonic function of the intensities of the multiplicative and additive noise, as well as of the system parameter. Moreover, the SNR for the fundamental harmonic decreases with the increase of the system asymmetry, while the SNR for the higher harmonics behaves non-monotonically as the system asymmetry varies.
文摘The vibrational resonance and stochastic resonance phenomena in the FitzHugh–Nagumo(FHN)neural model,driven by a high-frequency(HF)signal and a low-frequency(LF)signal and by coupled multiplicative and additive noises,is investigated.For the case that the frequency of the HF signal is much higher than that of the LF signal,under the adiabatic approximation condition,the expression of the signal-to-noise ratio(SNR)with respect to the LF signal is obtained.It is shown that the SNR is a non-monotonous function of the amplitude and frequency of the HF signal.In addition,the SNR varies non-monotonically with the increasing intensities of the multiplicative and additive noise as well as with the increasing system parameters of the FHN model.The influence of the coupling strength between the multiplicative and additive noises on the SNR is discussed.
