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较之于线性噪声, 非线性噪声更广泛地存在于实际系统中, 但其研究远不能满足实际情况的需要. 针对作为非线性阻尼涨落噪声基本构成成分的二次阻尼涨落噪声, 本文考虑了周期信号与之共同作用下的线性谐振子, 关注这类具有基本意义的阻尼涨落噪声的非线性对系统共振行为的影响. 利用Shapiro-Loginov公式和Laplace变换推导了系统稳态响应振幅的解析表达式, 并分析了稳态响应振幅的共振行为, 且以数值仿真验证了理论分析的有效性. 研究发现: 系统稳态响应振幅关于非线性阻尼涨落噪声系数具有非单调依赖关系, 特别是非线性阻尼涨落噪声比线性阻尼涨落噪声更有助于增强系统对外部周期信号的响应程度; 而且, 非线性阻尼涨落噪声比线性阻尼涨落噪声使得稳态响应振幅关于噪声强度具有更为丰富的共振行为; 同时, 二次阻尼涨落噪声使得稳态响应振幅关于系统频率出现真正的共振现象; 而在这些现象和性质中, 非线性噪声项的非线性性质对共振行为起着关键的作用. 显然, 以二次阻尼涨落作为基本形式引入的非线性阻尼涨落噪声, 可以有助于提高微弱周期信号检测的灵敏度和实现对周期信号的频率估计. 相似文献
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用理论和模拟相结合的方法研究了Pt(110)面上CO催化氧化体系中由化学反应随机性所导致的内涨落和参量扰动带来的外涨落对其速率振荡过程的影响,重点考察了内涨落和外涨落的相互作用.在体系的确定性Hopf分岔点附近区域,噪声可以诱导产生随机振荡,其信噪比随噪声强度的变化会出现极大值,即发生了相干共振.运用随机范式理论,研究发现体系的相干共振行为依赖于一\有效噪声",其强度是内涨落和外涨落的加权和.研究结果表明,在内外噪声强度的参数平面内,随机振荡的信噪比呈现屋脊形,太大的内涨落或外涨落条件下相干共振都不能发生.数值模拟的结果和理论分析符合得很好. 相似文献
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以往的研究大多考虑线性谐振子模型受频率涨落噪声的影响, 而当布朗粒子处于具有吸附能力的复杂环境时, 粒子质量也存在随机涨落. 因此, 本文研究具有质量及频率涨落两项噪声的二阶欠阻尼线性谐振子模型的随机共振现象. 利用Shapiro-Loginov公式和Laplace变换, 推导了系统响应一阶稳态矩及稳态响应振幅的解析表达式. 并根据稳态响应振幅的解析表达式, 建立了稳态响应振幅关于质量涨落噪声及频率涨落噪声各自的噪声强度能够诱导随机共振现象产生的充分必要条件. 仿真实验表明, 当系统参数满足本文所给出的充分必要条件要求时, 系统稳态响应振幅关于噪声强度的变化曲线具有明显的共振峰, 即此选定参数组合能够诱导系统产生随机共振现象. 相似文献
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采用周期矩形脉冲信号直接调制色噪声作用下的单模激光增益模型,运用线性近似的方法计算得到了模型输出光强的自关联函数和关联时间(Tc),并讨论了光强关联时间随噪声强度和调制脉冲信号的变化关系.研究结果发现:噪声关联程度λ<0时,光强关联时间Tc随噪声强度Q、D及脉冲信号的振幅A的变化曲线均出现了随机共振现象,系统的涨落达到最小,而在λ≥0时,Tc单调变化;在-1<λ<1范围内,Tc随噪声关联时间τ和信号的脉冲宽度θ的变化曲线也均出现了随机共振现象,且随λ的减小,共振现象越明显;Tc随信号周期T的变化却出现了抑制现象,λ越小,抑制作用越强. 相似文献
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采用线性化近似,计算了由具有色关联的受偏置信号调制的色泵噪声和色量子噪声驱动 的单模激光增益模型的光强相对涨落,发现相对涨落随噪声强度的变化曲线中存在极小值,分析了偏置信号的强度、周期信号频率、噪声间的互关联强度和互关联时间对曲线的影响; 对单模激光增益模型在偏置信号调制和直接信号调制两种方式下的输出光强相对涨落进行了比较,发现光强涨落与偏置信号的强度密切相关.
关键词:
偏置信号调制
光强相对涨落
线性化近似 相似文献
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基于衍射原理和模耦合理论,提出了一种由亚波长介质光栅/金属-电介质-金属(metal-dielectric-metal,MDM)波导/周期性光子晶体组成的复合微纳结构.结合反射角谱深入分析了表面等离子激元的传输特性以及在固定波长下不同入射角时刻形成的双重Fano共振的产生机理.研究表明,双重Fano共振是由在亚波长介质光栅/MDM波导结合的上层结构中产生的独立可调的双离散态分别与在周期性光子晶体中形成的连续态相互耦合形成的.接着定量讨论了结构参数对双重Fano特性的影响,探究了双重Fano共振的演变规律.结果表明,改变结构参数可实现双Fano共振曲线和谐振角度之间的调谐,且在最优条件下,共振A区FR a和FR b的品质因数(figure of merit,FOM)可高达460.0和4.00×10~4,共振B区FR a和FR b的FOM值可高达269.2和2.22×10~4.该结构可为基于Fano共振的折射率传感器设计提供有效的理论参考. 相似文献
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研究了由交叉相关高斯白噪声驱动的过阻尼谐振子的随机共振,其中加法噪声被周期信号所调制,运用平稳关联函数的傅里叶变换,导出了过阻尼谐振子随机模型信噪比的精确表达式.结果揭示:在过阻尼谐振子的随机模型中存在二类随机共振.一类随机共振表现为信噪比随乘法噪声强度Q变化的曲线存在共振峰,另一类随机共振表现为信噪比随振子频率ω变化的曲线存在共振峰.大幅度改变信号频率Ω值的大小,信噪比随乘法噪声强度Q变化的曲线有单峰,一峰一谷和单调变化三种不同的形式. 相似文献
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The doping limit or the filling fraction limit (FFL) of various impurities for the intrinsic voids in the lattice of is studied by the density functional method. The FFL is shown to be determined not only by the interaction between the impurity and host atoms but also by the formation of secondary phases between the impurity atoms and one of the host atoms. The predicted FFLs for Ca, Sr, Ba, La, Ce, and Yb in are in excellent agreement with reported experimental data. A correlation between the FFL of an impurity atom and its valence state and electronegativity is discovered. 相似文献
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We introduce a method for non-invasively mapping fiber orientation in materials and biological tissues using intermolecular multiple-quantum coherences. The nuclear magnetic dipole field of water molecules is configured by a CRAZED sequence to encode spatial distributions of material heterogeneities. At any given point r in space, we obtain the spherical coordinates of fiber orientation (theta,phi) with respect to the external field by comparing three signals ||G(X)||, ||(Y)||, and ||G(Z)|| (modulus), acquired with linear gradients applied along the X, Y, and Z axes, respectively. For homogeneous isotropic materials, a subtraction ||G(Z)|| - ||G(X)|| - ||G(Y)|| gives zero. With anisotropic materials, we find an empirical relationship relating ||G(Z)|| - ||G(X)|| - ||G(Y)||/(||G(X)|| + ||G(Y)|| + ||G(Z)||) to the polar angle theta, while ||G(X|| - ||G(Y)||/(||G(X)|| + ||G(Y)|| + ||G(Z)||) is related to the azimuthal angle phi. Experiments in structured media confirm the structural sensitivity. This technique can probe length scales not accessible by conventional MRI and diffusion tensor imaging. 相似文献
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M. W. Evans 《Journal of Molecular Liquids》1989,40(4):277-283
It Is shown that ensemble averages in molecular liquids may be investigated using group theoretical methods. These my he applied both in the laboratory frame (X,Y,Z) and the frame of the principal molecular moments of inertia (x,y,z). Using these methods the effect of an external electric field () and external magnetic field (
) may be considered in terms of second order quantities such as the single molecule cross correlation function
(t)
T(o) where
is the molecular centre of mass linear velocity and the angular velocity of the same molecule. Group theory, applied in this way, confirms the recent discovery by computer simulation of non-vanishing elements of
(t)
T(o) in frame (X,Y,Z) in the presence of an electric field. Group theory predicts, however, that these elements vanish in the presence of a magnetic field, even though this produces alignment and birefringence through the Langevin function. This leads to a straightforward experimental method for the direct observation of the non-vanishing elements of
(t)
T(o). 相似文献
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利用群理论详细分析了磷酸二氢钾(KDP)晶体的拉曼振动模式,得出了其拉曼振动模的归类。并采用拉曼光谱仪测量了Z切退火KDP晶体X(ZZ)珡X,Z(XY)珚Z和Y(XY)X三种散射配置和未退火KDP晶体Z(XY)珚Z配置下的拉曼光谱。根据拉曼选择定则得出X(ZZ)珡X,Z(XY)珚Z和Y(XY)X散射配置下的拉曼峰分别对应A1,B2(LO),B2(TO)对称类振动模,但在Z(XY)珚Z配置下的拉曼光谱中除了B2模,还观察到了A1模,而在Y(XY)X配置下的拉曼光谱中只有B2模,且退火和未退火晶体Z(XY)珚Z配置下的拉曼光谱无明显差别,此结果表明KDP晶体的对称性降低,在背向散射时A1模也具有角度特性,但与晶体的内应力无关,这是由KDP晶体内部结构决定的。 相似文献
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G.Pakhlova 《中国物理C(英文版)》2010,34(9)
We review the recent experimental results on hadron spectroscopy from B-factories focusing on the exotic charmonium-like states. Among them we discuss the X(3872), Y(3940), Z(4430)+, Z(4050)+, Z(4250)+ and Y(4140) states found in B-meson decays, the X(3940) and X(4160) states produced in double charmonium production, the Y(4260), Y(4325), Y(4660) and X(4630) states produced with initial-state radiation in e+e-annihilation and the X(3915), Y(4350) states observed in two-photon collisions. 相似文献
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Yan Liu 《Physics letters. A》2009,373(41):3741-3742
In a previous work [Z.D. Wang, Y.R. Liu, L. Yu, X.H. Liu, Phys. Lett. A 356 (2006) 346] an exponential stability analysis for a class of Markovian jumping neural networks (MJNNs) was presented. In this Letter we employ the same technique to extend the results for MJNNs with time-varying delays and mode estimation, appropriate for active fault-tolerant control systems. 相似文献
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掺镜钒酸钇晶体是一种很有应用前景的晶体材料,由于它适合于半导体激光器泵浦的全固态激光器的要求而受到人们的普遍关注。拉曼光谱是研究材料的声子能谱分布的方法。本文根据群论对称性分类,计算了掺镜钒酸钇晶体的拉曼和红外活性振动模。选择不同几何配置的拉曼光谱,获得了不同的晶格振动模并计算了不同晶格振动模的散射效率。实验证明最强的振动模来自钒氧四面体的振动。 相似文献
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Hyperfine Interactions - Mössbauer studies of multiple substitutions in YBCO with general formula (Y1?Z Ca Z )Ba2(Cu1?X?Y Fe Y M X )3O7?δ are reported. XRD has... 相似文献
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Y. N. Ovchinnikov A. A. Varlamov 《The European Physical Journal B - Condensed Matter and Complex Systems》2006,49(4):421-424
The effect of topological excitations in the form of small size (r ≪ξ(T))
vortex rings on thermodynamics of a bulk superconductor is considered. These
specific short wavelength fluctuations of the order parameter are analogous to
small vortex-antivortex pairs in superconducting film which were recently
studied in Y.N. Ovchinnikov, A.A. Varlamov, Phys. Rev. Lett. 94, 107007 (2004). The corresponding contribution to the free energy
below Tc is calculated. It is shown that fluctuations of this type give
the main temperature dependent contribution to the heat capacity of the
superconductor in the sufficiently large interval of temperatures below the
transition point. Important, that the sign of this contribution is opposite to
that one appearing due to the usual long wavelength fluctuation, leading to
smearing of the BCS jump of heat capacity. 相似文献