Stochastic Resonance in a Bacterium Growth System Subjected to Colored Noises

We present the logistic growth model to study the stochastic resonance(SR)in a bacterium growth systemunder the simultaneous action of two external multiplicative cross-correlation noises and periodic external forcing.Theexpression of the signal-to-noise ratio(SNR)for a bacterium growth system is derived by using the theory of SNR inthe adiabatic limit.Based on SNR,we discuss the effects of self-correlation time τ_1 and τ_2,cross-correlation time τ_3and cross-correlation strength λ on the SNR.It is found that the self-correlation time τ_1 and τ_2,and cross-correlationstrength λ enhance the SR of the bacterium growth system,while cross-correlation time τ_3 weakens the SR of thebacterium growth system.

Stochastic Resonance of Instantaneous-State in Linear Regime of Single-Mode Lasers Driven by Colored Noises

根据有输入信号的单个模式的激光的激光紧张的一个线性方程，我们在单个模式的激光的 theinstantaneous 状态计算概括 signal-to-noise 比率(GSNR ) ，它被二有颜色的噪音驾驶并且在一个电子 exponential 函数形式相关。我们检测随机的回声(SR ) 也在任何时间发生在即时状态上。当拿不同信号频率时，而且，我们在三种不同形式讨论 GSNR 趋势到稳定的状态。

Influences of noise correlation and time delay on stochastic resonance induced by multiplicative signal in a cancer growth system

This paper investigates the stochastic resonance （SR） phenomenon induced by the multiplicative periodic signal in a cancer growth system with the cross-correlated noises and time delay. To describe the periodic change of the birth rate due to the periodic treatment, a multiplicative periodic signal is added to the system. Under the condition of small delay time, the analytical expression of the signal-to-noise ratio RSNR is derived in the adiabatic limit. By numerical calculation, the effects of the cross-correlation strength λ and the delay time τ on RSNR are respectively discussed. The existence of a peak in the curves of RSNR as a function of the noise intensities indicates the occurrence of the SR phenomenon. It is found that λ and τ play opposite role on the SR phenomenon, i.e., the SR is suppressed by increasing λ whereas it is enhanced with the increase of τ, which is different from the case where the periodic signal is additive.

Asymmetric stochastic resonance under non-Gaussian colored noise and time-delayed feedback

Based on adiabatic approximation theory,in this paper we study the asymmetric stochastic resonance system with time-delayed feedback driven by non-Gaussian colored noise.The analytical expressions of the mean first-passage time(MFPT)and output signal-to-noise ratio(SNR)are derived by using a path integral approach,unified colored-noise approximation(UCNA),and small delay approximation.The effects of time-delayed feedback and non-Gaussian colored noise on the output SNR are analyzed.Moreover,three types of asymmetric potential function characteristics are thoroughly discussed.And they are well-depth asymmetry(DASR),well-width asymmetry(WASR),and synchronous action of welldepth and well-width asymmetry(DWASR),respectively.The conclusion of this paper is that the time-delayed feedback can suppress SR,however,the non-Gaussian noise deviation parameter has the opposite effect.Moreover,the correlation time plays a significant role in improving SNR,and the SNR of asymmetric stochastic resonance is higher than that of symmetric stochastic resonance.Our experiments demonstrate that the appropriate parameters can make the asymmetric stochastic resonance perform better to detect weak signals than the symmetric stochastic resonance,in which no matter whether these signals have low frequency or high frequency,accompanied by strong or weak noise.

Stochastic Resonance in a Single-Mode Laser Driven by Quadratic Colored Pump Noise:Effects of Biased Amplitude Modulation Signal

A single-mode laser noise model driven by quadratic colored pump noise and biased amplitude modulationsignal is proposed.The analytic expression of signal-to-noise ratio is calculated by using a new linearized procedure.Itis found that there are three different typies of stochastic resonance in the model:the conventional form of stochasticresonance,the stochastic resonance in the broad sense,and the bona fide SR.

Effect of Asymmetric Potential and Gaussian Colored Noise on Stochastic Resonance

The phenomenon of stochastic resonance (SR) in a bistable nonlinear system is studied when the system is driven by the asymmetric potential and additive Gaussian colored noise. Using the unified colored noise approximation method, the additive Gaussian colored noise can be simplified to additive Gaussian white noise. The signal-to-noise ratio (SNR) is calculated according to the generalized two-state theory (shown in [H.S. Wio and S. Bouzat, Brazilian J.Phys. 29 (1999) 136]). We find that the SNR increases with the proximity of a to zero. In addition, the correlation time τ between the additive Gaussian colored noise is also an ingredient to improve SR. The shorter the correlation time τ between the Gaussian additive colored noise is, the higher of the peak value of SNR.

Stochastic resonance in surface catalytic oxidation of carbon monoxide induced by colored noise

The dynamical behavior of surface catalytic oxidation reaction of Pt(110)/CO+O2 modulated by colored noise, under the condition of specific temperature, has been investigated when the partial pressure of CO gas is near the supercritical Hopf bifurcation point. By computer simulation the oscillation and stochastic resonance induced by colored noise are observed. The influences of the intensity and correlation time of colored noise on stochastic resonance are discussed. The range of sensitivity of the system to the environmental fluctuation is analyzed.

Effects of Colored Noise on Periodic Orbits in a One-Dimensional Map

噪音能导致反的加倍时期的转变和混乱。在逻辑地图的不同周期的序列，周期的轨道上的有颜色的噪音的效果被调查。这被发现轨道的动态行为，由指数地相关的有颜色的噪音导致了，在他们的动态行为上的噪音紧张的转变，和效果的合并是不同的与噪音的关联时间的效果不同。显著地，也就是，噪音能导致新周期的轨道二条新轨道出现在时期--在分叉参数值=的四个序列 3.5 ，在时期的四条新轨道--在=的八个序列 3.55 ，并且在时期的三条新轨道--在=的六个序列 3.846 分别地。而且，新轨道的动态行为清楚地显示出 resonancelike 反应到有颜色的噪音。

高斯势分段双稳随机共振在不同噪声下的轴承故障诊断

为解决经典双稳随机共振(classical bistable stochastic resonance, CBSR)在强噪声下输出信噪比(signal-to-noise ratio, SNR)较低问题,将非饱和分段双稳随机共振(unsaturated piecewise bistable stochastic resonance, UPBSR)与高斯势(gaussian potential, GP)随机共振结合得到一种高斯势分段双稳随机共振(Gaussian potential piecewise bistable stochastic resonance, GPPBSR)。首先,将GPPBSR与CBSR、UPBSR的势函数分析对比;其次,以SNR和平均信噪比增益(mean signal-to-noise ratio increase, MSNRI)为衡量指标,分别在高斯白噪声和色噪声背景下通过遗传算法参数寻优得到SNR和MSNRI随系统参数的变化规律,其结果表明在两种噪声背景下,GPPBSR系统的SNR和MSNRI均优于UPBSR,抗噪性能更好;最后,为验证在不同场景下GPPBSR系统轴承故障诊断的实用性,将UPBSR和GPPBSR系统应用于6205-2RS JEM SKF和HRB 6205-2Z两种型号的轴承故障诊断中。仿真结果表明,GPPBSR系统在两种噪声背景下的故障信号诊断均是可行的,且比CBSR和UPBSR的性能更优越。

色噪声作用下线性系统的随机共振

研究了当系统的固有频率和激励信号受色噪声作用时,过阻尼二阶线性中的随机共振现象。通过线性系统理论和相关删去法方法,得到了系统平均输出幅度增益的精确表达式。系统平均输出幅度增益是色噪声的强度和相关率以及激励信号的频率的非单调函数,适当的噪声参数和系统参数可以使噪声情况下的输出幅度增益大于无噪声时的输出幅度增益;通过改变噪声参数和系统参数可以提高系统的输出幅度增益。该方法适用于色噪声环境中线性系统的微弱信号检测。

色噪声环境下系统记忆性对分数阶布朗马达合作输运特性的影响

本文引入分数阶微积运算,建立色噪声环境下分数阶布朗马达在闪烁棘齿势中的合作输运模型,通过数值模拟讨论分析了系统记忆性对合作定向输运性质的影响.本文的研究表明,系统记忆性可通过分数阶阶数和色噪声关联时间描述,且分数阶对输运特性的影响远大于色噪声;改变系统阶数不仅可影响粒子链定向输运速度的大小,还可改变其运动方向,使系统出现与整数阶方向相反的定向流,且出现振荡与广义随机共振现象;色噪声关联时间改变输运速度的大小,但不改变定向流的方向.

色噪声作用下二阶线性系统中随机共振现象的研究

在色噪声同时作用于阻尼系数和激励信号时,研究了欠阻尼二阶线性系统中的随机共振现象。实际计算和仿真表明:该系统的平均输出幅度增益呈现非单调变化,不仅在一定条件下大于无噪声时的增益,而且适当的系统参数和噪声参数能够提高幅度增益,这对噪声环境中线性系统的理论研究以及微弱信号检测都具有一定的理论意义。

时延反馈EVG系统随机共振特性研究及轴承故障诊断

随机共振是应用在微弱信号检测中的一种重要的技术,以微弱周期信号和加性高斯白噪声驱动的时延反馈生态植被生长(EVG)系统为模型,对其展开了详细的随机共振现象分析,并将其应用到微弱信号检测和轴承故障诊断中。首先,利用福柯普朗克方程推算出等效势函数以进一步得到系统信噪比的表达式,然后通过曲线图具体分析不同的系统参数对势函数和信噪比的影响。研究结果表明,通过调节系统参数、信号幅值、噪声强度均可诱导时延反馈EVG系统产生随机共振现象。最后,通过调节参数利用时延反馈EVG系统随机共振方法成功检测到微弱信号目标频率f=0. 01 Hz幅值为2 978,且在轴承内、外圈故障特征频率处检测出明显的峰值。

色噪声性质对一氧化氮还原反应体系随机共振的影响

研究了一定温度条件下和NO气体偏压pNO处在超临界Hopf分岔点附近时,Pt(100)/NO+CO表面催化还原反应体系被色噪声调制后的动力学行为.通过计算机模拟,观察到了色噪声诱导的反应振荡和随机共振现象.探讨了色噪声强度和相关时间对随机共振行为的影响,得到一些新的结果.

调幅波调制噪声的单模激光随机共振

将噪声和调幅波以相乘的形式引入到单模激光系统,用调幅波调制色抽运噪声,采用线性化近似方法计算了由色抽运噪声和色量子噪声驱动下的光强相关函数,通过对相关函数的傅里叶变换,得到光强的功率谱及信噪比.结果表明:信噪比随着抽运噪声自关联时间τ1和载波信号频率ω的变化均出现了广义随机共振;当抽运噪声自关联时间1τ大于某一值时,信噪比R是正值,R随1τ的增大出现一个极大值,即出现随机共振现象;信号和噪声引入形式不同,随机共振的形式也不同.

色噪声与乘性信号驱动下昆虫爆发系统的稳定性和随机共振

研究的是一类受色噪声和乘性周期信号驱动的昆虫爆发系统的稳定性和随机共振现象.首先对于一类由色交叉关联噪声驱动的昆虫爆发种群系统,通过应用FPK方程,获取了系统的稳态概率分布函数的近似表达式,重点讨论了噪声强度及自相关时间对此类昆虫爆发系统稳定性的影响;然后通过加入弱乘性周期信号,根据快速下降法和两态理论给出了信噪比公式,研究了噪声及其关联时间对于昆虫系统信噪比的影响.进而分析它们对系统种群数的稳定性和延续存活时间的一些实际作用.

色噪声下多稳态随机共振的微弱信号检测方法

将与实际更为接近的色噪声和多稳态随机共振系统相结合,采用信噪比增益作为测度指标,对多稳态随机共振特性进行了深入的研究。采用自适应的方法探究了色噪声下多稳态随机共振的系统参数a,b,c以及噪声放大系数D对信噪比增益和系统输出的影响。进一步研究了多稳态随机共振对不同信号的检测性能。将多稳态系统应用于轴承故障诊断。实验结果表明:多稳态系统对微弱信号模型具有良好的检测效果,单频信号信噪比为–20 dB情况下有12 dB的提高。

生物钟体系中色噪音诱导的日夜节律振荡和内信号随机共振

利用脉孢菌生物钟体系,研究了色噪音对其进行诱导所产生的日夜节律振荡信号及其内信号随机共振的行为.结果表明,色噪音的相关时间对该体系内信号随机共振的强弱起较大的影响作用.当无外信号存在时,色噪音的相关时间对体系内信号随机共振强度起抑制的作用,且随相关时间的增大,抑制作用增强.当外信号加到体系中时,由于相关时间和外信号的协同作用,相关时间不仅对其内信号随机共振强度起抑制的作用,而且还影响内信号随机共振峰的数目,即随相关时间的增大,可使单峰随机共振变为随机双共振.存在最佳的外信号频率使体系的内信号随机共振强度得到最大的增强,而其他频率的外信号却起抑制作用.色内噪音和色外噪音相比,前者对该体系进行诱导所得的内信号随机共振强度比后者的更强,而且体系对前者更敏感.另外,存在极限的噪音强度使白噪音和色噪音对该体系内信号随机共振的影响差异得以消失.所得结果可为治疗生物钟紊乱综合症提供理论依据,同时可更好地理解其他节奏机理,如心脏搏动节奏、呼吸节奏以及荷尔蒙水平的波动节奏等.

随机共振技术检测强色噪声中弱信号的研究

通过对双稳态系统随机共振模型的数值模拟,研究了利用随机共振技术检测被色噪声淹没的微弱周期信号.这种方法对于确定频率的零检验实验,譬如光子静止质量检验实验等具有一定的参考实用价值.

延迟和色噪声对方波信号驱动双稳系统的影响

研究了时间延迟和色噪声对受恒定力、双值噪声以及方波信号驱动的双稳系统的影响.在绝热极限条件下,利用小延时近似,得到了系统输出信噪比(SNR)的表达式.结果表明,SNR随延时时间和噪声的相关时间而非线性地变化.另外,SNR与双值噪声、色噪声的强度,与恒定力和方波信号幅度等的关系曲线呈现随机共振现象.讨论了系统参数对SNR的影响.