带加法白噪声的随机Boussinesq方程组的解的渐近行为

考虑速度和温度同时在加法白噪声扰动下的随机Boussinesq方程组的解的渐近特征.可以接轨道得到该随机方程组的唯一解,并可以验证该解生成随机动力系统,进而证明了该随机动力系统存在随机吸引子.     

Static Theory for Planar Ferromagnets and Antiferromagnets

Here we generalize the “BBH”-asymptotic analysis to a simplified mathematical model for the planar ferromagnets and antiferromagnets. To develop such a static theory is a necessary step for a rigorous mathematical justification of dynamical laws for the magnetic vortices formally derived in [1] and [2]. Received March 15, 2001, Accepted May 16, 2001     

全连续弱内向映象的不动点指数及多重不动点定理

本文通过研究与全连续弱内向映象相应的Banach空间中凸闭集上常微分方程解的性质，定义了有界凸闭集上局部Lip.全连续弱内向映象的不动点指数并利用它给出了一个弱内向映象的三解定理．     

基于拉曼光谱法的降糖类药物的判别方法比较

采用了四种聚类方法对降糖类药物拉曼光谱进行了快速、无损判别。采集九种降糖类药品共48个样品的拉曼光谱,经截波、基线校正、平滑、矢量归一化等预处理后,分别采用K-均值、系统聚类法、自组织图(SOM)及PCA-SOM四种不同聚类方法做聚类判别。结果表明,自组织图与K-均值、系统聚类法相比,聚类结果较好,并且SOM结合PCA后的PCA-SOM结果最优。为降糖类药品的快速判别从聚类的角度提供了一种新的方法。     

掺氢与激励电路对钡蒸气激光输出特性的影响

对用Blumlein电路放电激励的钡蒸气激光在掺氢和不掺氢时的输出特性进行了实验研究.结果表明，用掺氢1.5%的氖气作缓冲气体能使激光功率增加近2倍.在此基础上，进一步比较了相互作用电路与Blumlein电路时钡蒸气激光的输出特性，发现相互作用电路能显著提高钡蒸气激光的输出功率和效率，获得了3W最大功率和0.4%效率的1.5μm波长激光输出.测量并分析了各工作参量与激光功率之间的关系，定性解释了掺氢与相互作用电路的作用机理 . 关键词： Blumlein电路 相互作用电路 掺氢 钡蒸气激光     

Collisional effects in the tokamap

Plasmas confined in tokamaks with non-symmetric perturbations are surrounded by a chaotic layer of magnetic field lines that guide charged particles to the tokamak wall. We use an analytical two-dimensional symplectic mapping to study the resulting fractal patterns of field line escape. However, particles may experience several collisions before escaping toward the tokamaks wall. We add a random collisional term to the field line mapping to investigate how the particle collisions modify their escape patterns.     

Neural spike renormalization. Part I — Universal number 1

For a class of circuit models for neurons, it has been shown that the transmembrane electrical potentials in spike bursts have an inverse correlation with the intra-cellular energy conversion: the fewer spikes per burst the more energetic each spike is. Here we demonstrate that as the per-spike energy goes down to zero, a universal constant to the bifurcation of spike-bursts emerges in a similar way as Feigenbaum's constant does to the period-doubling bifurcation to chaos generation, and the new universal constant is the first natural number 1.     

In vitro bioassays for the study of endocrine-disrupting food additives and contaminants

Endocrine-disrupting chemicals (EDCs) are capable of interfering with normal hormone homeostasis by acting on several targets and through a wide variety of mechanisms. Unwanted exposure to EDCs can lead to a wide spectrum of adverse health effects, especially when exposure is during critical windows of development. Feed and food are considered to be among the main routes of inadvertent exposure to EDCs, so there is an important need for efficient detection of EDCs in these matrices.We describe in vitro bioassays that can complement current analytical chemistry in order to detect unwanted EDCs and describe their action, emphasizing assays that can measure effects on nuclear receptor signaling or hormone production. We outline both validated and unvalidated in vitro assays currently available in the scientific community for detecting and studying the effects of EDCs, and discuss their possible role in the food-safety context. We conclude by identifying gaps in the current battery of in vitro assays available for EDCs and suggest future possibilities for development and validation.     

Normalized intensity correlation function of single-mode laser system driven by colored cross-correlation noises

Considering a single-mode laser system with cross-correlated additive colored noise and multiplicative colored noise, we study the effects of correlation among noises on the normalized intensity correlation function C(s).C(s) is derived by means of the projection operator method.