The correlation between stochastic resonance and theaverage phase-synchronization time of a bistable system driven bycolour-correlated noises

This paper investigates the correlation between stochastic resonance (SR) and the average phase-synchronization time which is between the input signal and the output signal in a bistable system driven by colour-correlated noises. The results show that the output signal-to-noise ratio can reach a maximum with the increase of the average phase-synchronization time, which may be helpful for understanding the principle of SR from the point of synchronization; however, SR and the maximum of the average phase-synchronization time appear at different optimal noise level, moreover, the effects on them of additive and multiplicative noise are different.     

Corrigendum: Stochastic resonance in a parallel array of linear elements

In this paper,we point out the errors occurring in the paper(Dong X J 2009 Chin.Phys.B 18 70) and present a correct conclusion.     

双稳系统中随机共振与相同步时间的相关性

研究了双稳系统的随机共振(SR)与输入输出之间的相同步相关性. 首先得到系统的输出信噪比(SNR)与输入输出之间的平均相同步时间的表达式,然后讨论了随机共振与输入输出之间的平均相同步时间之间的关系. 结果表明:(1)系统出现了随机共振现象,且平均相同步时间对噪声是敏感的;由于加性与乘性噪声的相互影响,随加性噪声强度的增加,输出信噪比及平均相同步时间曲线上首先出现抑制现象,然后出现峰值,并且, 减小乘性与加性噪声强度比率,可提高输出信噪比和增长平均相同步时间. (2)系统的随机共振与平均相同步时间达到最大值不同步出现,但平均相同步时间对输出信噪比是敏感的. 该结论为信号传输中利用随机共振原则改变系统工作环境提供了依据.      

含关联噪声与时滞项的非对称双稳系统的随机共振

研究了基于关联噪声的带时滞项的非对称双稳系统的随机共振，在小时滞量及绝热近似理论下得到了信噪比的精确解析表达式，表明由于时滞量的存在系统出现了随机共振.讨论了系统的时滞量、噪声相关系数及系统的非对称性对系统的信噪比的影响.     

双稳态系统中随机共振和相干共振的相关性

研究了加性噪声和乘性噪声共同驱动的双稳态系统中的随机共振和相干共振现象. 针对加性噪声和乘性噪声之间不存在关联性和存在关联性两种情形, 引入一种适当的能同时表征随机共振和相干共振的指标, 应用一阶欧拉方法, 通过数值模拟对系统的随机共振和相干共振现象进行研究. 结果表明在弱噪声驱动下, 随着加性噪声强度的增加, 当系统出现相干共振时, 如果给系统外加一个弱周期驱动力, 几乎在同一时刻, 系统也出现了随机共振现象; 但随着乘性噪声强度的增加, 仅当加性噪声和乘性噪声之间相关时, 此结论成立. 并且系统参数对相干共振和随机共振的影响是一致的. 关键词： 双稳态系统 随机共振 相干共振     

基于周期混合信号和时滞项的非对称双稳系统的随机共振

研究了具有周期混合信号的带时滞项和non-Gaussian噪声项的非对称双稳系统的随机共振.首先应用统一色噪声理论近似了non-Gaussian噪声项,然后用小时滞近似理论简化了时滞项,进而根据两态理论得到了系统的输出信噪比的表达式.并讨论了系统的非对称性r,时滞量τ和噪声相关时间τ_0对信噪比的影响,发现信噪比曲线上出现了随机多振现象,这种现象与不考虑时滞影响时系统中的随机共振现象是不同的.且数值模拟表明,系统的非对称性r,时滞量τ和周期混合信号的影响使得信噪比曲线上出现了多个峰值.     

Stochastic resonance in a parallel array of linear elements

This paper studies stochastic resonance (SR) phenomenon in a parallel array of linear elements with noise. Employing the signal-to-noise ratio (SNR) theory, it obtains the output SNR, and investigates the effects on the output SNR of the system with signal-independent noise and signal-dependent noise respectively. Numerical results show: the curve of the output SNR is monotone with signal-independent noise; whereas SR appears with signal-dependent noise. Moreover, the output SNR enhances rapidly with the increase of N which is the number of elements in this parallel array linear system. This result may provide smart array of simple linear sensors which are capable of acting as noise-aided amplifiers.