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本文研究非线模型中内、外噪音的统一描述.通过对噪音的实现求平均,得到广义福克-普朗克方程(GFPE).发现从某一阶矩开始,出现内、外噪音的耦合效应.文中还对Verhulst模型进行了具体的讨论. 相似文献
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The phenomenon of stochastic resonance (SR) is found in a single-mode laser system driven by the colored pump noise with signal modulation and the quantum noise with cross-correlation between the real and imaginary parts. When the net gain a0 changes, it is found that, 1) the shape of the curve of the signal-tonoise ratio (SNR) versus the pump noise self-correlation time T exhibits a changing process of multiform SR, from single-peak SR to simultaneous existence of resonances and suppressions; 2) the curve of SNR versus signal frequency Ω experiences a complicated changing process from the monotonous descending to the simultaneous appearances of a maximum and a minimum, and finally to monotonous descending; 3)the curve of SNR versus cross-correlation coefficient between the real and imaginary parts of the quantum noise λq appears an acute single-peak SR. Therefore, the net gain a0 greatly influences the characteristic of SR of laser system. 相似文献
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讨论了在关联噪声驱动下双稳系统的瞬变性质 ,计算了该系统的平均第一通过时间 (MFPT) .数值计算表明 :在正关联的条件下 (λ>0 ) ,MFPT随噪声关联τ增大而减少 ;在负关联的条件下 (λ <0 ) ,MFPT随τ增大而增大 .同时还发现 ,在完全正关联的条件下 (λ=1 ) ,若加性噪声强度等于乘性噪声强度 (α =D) ,则MFPT趋于无穷大 ;若α/D≈ 0 .87,则平均第一通过时间等于零 . 相似文献
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研究了由O-U加性噪声驱动的平方双稳热系统,首先将系统的郎之万方程扩大维数,然后作变量代换,最后进行拟合成平方双稳势,从而精确计算出系统的定态几率分布及二阶矩,揭示了噪声强度对定态几率分布的影响,指出定态几率分布对关联时间τ不敏感,研究还发现二阶矩随噪声强度的变化曲线存在一个极小值。 相似文献
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根据线性化的单模激光输出光强方程,运用计算光强的相关函数,得到光强的功率谱及信噪比的方法,计算了在δ函数形式关联的两白噪声驱动下单模激光线性模型瞬态的功率谱及信噪比,发现了瞬态的随机共振,研究了信噪比随时间的演化及到达定态的时间,分析了参数对随机共振的影响。 相似文献
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通过提高推导过程中精度的办法得到了更完善的统一展开理论(UET),且用更完善的UET具体计算了单模染普激光色损失模型的光强定太几率分布,得到了与实验结果是更好的理论结果。 相似文献
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The quantum well (QW) semiconductor lasers have become main optical sources for optical fibre communication systems because of their higher modulation speed, broader modulation bandwidth and better temperature characteristics. In order to improve the quality of direct-modulation by means of the stochastic resonance (SR) mechanism in QW semiconductor lasers, we investigate the behaviour of the SR in dlrect-modulated QW semiconductor laser systems. Considering the cross-correlated carrier noise and photon noise, we calculate the power spectrum of the photon density and the signal-to-noise ratio (SNR) of the direct-modulated laser system by using the linear approximation method. The results indicate that the SR always appears in the dependence of the SNR on the bias current density, and is strongly affected by the cross-correlation coefficient of the carrier and photon noises, the frequency of modulation signal, and the photon lifetime in the laser cavity. 相似文献
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