增强型延迟反馈法控制低维混沌系统的解析研究

基于时间延迟反馈控制混沌系统的方法,提出一种增强型控制方案,并利用分析延迟系统产生Hopf分支条件的方法,给出这种方案控制低维连续自治混沌系统时,在达到控制目标的条件下,控制参数的一般解析关系.将这一方案和分析方法应用到两个混沌模型中,结果表明:采用修正的方案可以明显地改善控制混沌的效果和质量;解析分析的结果与实际数值计算的结果一致. 关键词： 延迟反馈 混沌控制 Hopf分支     

奇异黎曼度量下Г—等变分歧问题的Г—C°接触等价d决定性（下）

研究了奇异黎曼度量之下的 Γ-等变分歧问题中的 Γ- C°接触等价性 ,提供了 Γ- C°等价的判别法 .它们是 Percell.P.B,ZOU Jiang- chen,SU N W Z关于分歧问题有限决定性 C0理论中的有关结果的推广 .使用奇点理论及紧群表示方法给出了相关定理的证明     

关于Lowen空间指数对象的一点注记

L-拓扑空间(X,△)称为一Lowen空间若△有一组由层特征函数构成的基,即△中形如a∧U,a∈L,U∈X的元素构成△的一组基.若L=[0,1],则(X,△)是一Lowen空间当且仅当(X,△)是一Lowen意义下的fzzy邻域空间.通过在函数空间上引入适当的L-拓扑结构,证明了若0∈L是一素元并且Lowen空间(X,△)的开集格是一连续格,则(X,△)是Lowen空间范畴中一指数对象.特别地,若一fuzzy邻域空间的开集格连续,则它是FNS中一指数对象.     

Energy Density in Quark-Gluon Plasma

We study the energy density in quark-gluon plasma. At the very high temperature, the quark matter is a hot and dense matter in the colour deconfinement condition, and quarks can coalescent diquarks. Energy density of this system is worked out and compared with the energy density in the other two kinds of situations. Possible energy density is about ε0≈2.4 GeV/fm^3 according to our estimation for quark matter including diquarks.     

Self-assembly behaviour of amphiphilic diblock copolymer in selective solvents studied by synchrotron small-angle x-ray scattering

The aggregation behaviour of styrene-vinyl benzoic acid (PSm-b-PVBAn) amphiphilic diblock copolymers in selective solvents with different m and n was investigated by synchrotron small-angle x-ray scattering (SAXS). We have carried out a detailed analysis of scattering intensity, dimension, shape and microstructure of the diblock copolymers of narrow distribution in water, methanol, ethanol and isopropanol selective solvents, respectively. We have found that the aggregation behaviour of the copolymer depends on the nature of the solvent and the micelle forms fiat disc objects with the ratio of radius ω=0.4. The average radius gyration Rg of the copolymer decreases as solvents change from isopropanol to ethanol and to methanol, and increases with increasing pH in aqueous solution, but decreases with the addition of COCl2 in ethanol solvent. The scattering intensity of diblock copolymer micelle follows I(h) ∝ h^-α in different selective solutions, suggesting that the PSm-b-PVBAn coils have self-similar structure behaviour or a fractal structure in the selective solvents. All of these revealed that the aggregation behaviour of the diblock copolymer changes dramatically with experimental condition in the selective solvent. The increase of mass fractal dimension (Dm) from 2.12 to 2.47 indicates that the copolymer chain changes from a swollen coil to a rather compact disc in the course of changing solvents, decreasing surface fractal dimension (Ds) from 2.98 to 2.58 indicates that the copolymer micelle change from a rather rough surface to a smooth form in the course of increasing pH in aqueous solutions, and increasing Dm and Ds from 2.29 to 2.35 and 2.70 to 2.90, respectively, indicates the shrinkage of copolymer micelle to a rather compact and rough disc form by adding COCl2 in ethanol solvents.     

平面交叉玻璃波导型微透镜阵列光学性能研究

介绍了平面交叉玻璃光波导型半球形微透镜阵列的制作方法.利用积分形式的光线方程式讨论了半球形微透镜的光学特性,得到了半球形微透镜的光线轨迹方程式和焦距表示式,理论结果与实验数据是一致的.     

吡罗红为底物的辣根过氧化物酶催化荧光反应测定葡萄糖

吡罗红在辣根过氧化物酶催化下可被过氧化氢氧化而使其荧光猝灭。在pH 7.2中性介质中,稳态催化速率由酶和底物浓度决定,催化体系服从Michaelis-Menten方程,用Lineweaver-Burk作图法求得米氏常数、最大反应速度、催化常数分别为2.4×10~(-5)mol·L-1,2.5×10~(-6)mol·L-1s-1,75.8 s-1。在最佳反应条件下,荧光F0/F的猝灭程度与过氧化氢浓度在0-3.6×10~(-7)mol·L-1范围内成线性关系,检测限为6.3×10~(-9)mol·L-1;当与葡萄糖氧化酶联用时,可定量检测葡萄糖,线性关系为0-8.0×10~(-7)mol·L-1,检测限为3.4×10~(-8)mol·L-1。方法用于分析人血清中葡萄糖含量,分析结果与苯酚-4-氨基安替比林法基本一致。     

D∞-APPROXIMATION OF PRODUCT VARIATIONS OF TWO PARAMETER SMOOTH SEMIMARTINGALES

Let X be a two parameter smooth semimartingale and (~X) be its process of the product variation. It is proved that (~X) can be approximated as D∞-limit of sums of its discrete product variations as the mesh of division tends to zero. Moreover, this result can be strengthen to yield the quasi sure convergence of sums by estimating the speed of the convergence.     

α，ω-二羧基-甲基丙烯酸丁酯低聚物的合成及MS分析

利用传统自由基聚合法，在四氢呋喃溶液中自由基引发聚合甲基丙烯酸丁酯单体而得到ω-羧基-甲基丙烯酸丁酯低聚物(CTBMA)(分子量在1500左右)；利用CTBMA末端酯基的反应特性，在二氧六环／水／KOH混合溶液中皂化CTBMA，使之转化为α，ω-羧基甲基丙烯酸丁酯低聚物(di-CTBMA)；研究了溶剂的类别、反应时间等反应条件对皂化产物结构的影响；利用MALDI-TOF-MS及LSIMS对皂化各阶段产物进行了分析监测．实验表明，在适当的皂化条件下，CTBMA皂化时主要为末端酯基转化为羧基，相应得到的产物di-CTMBA具有很好的结构特性，其官能团度(functionality)接近2．     

沪深股市回报率、波动率和交易量关系的实证研究

本文首先对回报率与交易量之间的关系进行了研究,发现并不存在非对称的数量关系,但存在双向的葛兰杰因果关系;同时将交易量对波动率的解释能力进行了研究,发现在沪市交易量对波动率具有解释力,而在深市交易量对波动率没有解释力。