Duffing-van der Pol振子随机分岔的全局分析

应用广义胞映射方法研究了参激和外激共同作用的Duffing-van der Pol振子的随机分岔.以 系统参数通过某一临界值时，如果系统的随机吸引子或随机鞍的形态发生突然变化，则认为 系统发生随机分岔为定义，分析了参激强度和外激强度的变化对于随机分岔的影响.揭示了 随机分岔的发生主要是由于系统的随机吸引子与系统的随机鞍碰撞产生的.分析表明，广义 胞映射方法是分析随机分岔的有力工具，这种全局分析方法可以清晰地给出随机分岔的发生 和发展. 关键词： 随机分岔 全局分析 广义胞映射方法 随机吸引子 随机鞍     

Statistical theory for hydrogen bonding fluid system of A a D d type (I): The geometrical phase transition

The influence of hydrogen bonds on the physical and chemical properties of hydrogen bonding fluid system of A _a D _d type is investigated from two viewpoints by the principle of statistical mechanics. In detail, we proposed two new ways that can be used to obtain the equilibrium size distribution of the hydrogen bonding clusters, and derived the analytical expression of a relationship between the hydrogen bonding free energy and hydrogen bonding degree. For the nonlinear hydrogen bonding systems, it is shown that the sol-gel phase transition can take place under proper conditions, which is further proven to be a kind of geometrical phase transition rather than a thermodynamic one. Moreover, several problems associated with the geometrical phase transition and liquid-solid phase transition in nonlinear hydrogen bonding systems are discussed.     

好莱坞电影中不同叙事结构的人物塑造

电影是从戏剧中产生的，电影的作们始终探索着突破戏剧化模示。本以经典好莱坞的侦探类型片《唐人街》的剧本前十页为例，分析经典好莱坞电影中的人物塑造。该片人物大都是静态的叙事媒介。他们激化并最终从属于情节的运转，这与亚里士多德的经典戏剧理论是一致的。而《公民凯恩》是好莱坞经典叙事的突破和新商业片的模示，以闪回结构塑造人物，跨越时空，切换凯恩的一生的不同时期。该片塑造的人物是有血有肉的，多维度的，“现实主义”的个性化的人物。影片所蕴含的对凯恩这存在主义人物的深刻描述和对美国社会的自省也是通过这种结构得以实现的。     

新型AFM探针的制备及应用

采用熔拉 -腐蚀复合方法 ,将普通单模石英光纤制成直锥形光纤探针。利用自制工具将探针打弯 ,制成悬臂式光纤探针 ,在AFM上取得了较理想的测试结果。将自制光纤探针和商用硅材料探针获得的两种扫描图像进行了对比 ,分析了悬臂式光纤探针的特点     

Asymptotic distributions of nonparametric regression estimators for longitudinal or functional data

The estimation of a regression function by kernel method for longitudinal or functional data is considered. In the context of longitudinal data analysis, a random function typically represents a subject that is often observed at a small number of time points, while in the studies of functional data the random realization is usually measured on a dense grid. However, essentially the same methods can be applied to both sampling plans, as well as in a number of settings lying between them. In this paper general results are derived for the asymptotic distributions of real-valued functions with arguments which are functionals formed by weighted averages of longitudinal or functional data. Asymptotic distributions for the estimators of the mean and covariance functions obtained from noisy observations with the presence of within-subject correlation are studied. These asymptotic normality results are comparable to those standard rates obtained from independent data, which is illustrated in a simulation study. Besides, this paper discusses the conditions associated with sampling plans, which are required for the validity of local properties of kernel-based estimators for longitudinal or functional data.     

Charge density fluctuation of low frequency in a dusty plasma

The charge density fluctuation of low frequency in a dusty plasma, which is derived from the longitudinal dielectric permittivity of the dusty plasma, has been studied by kinetic theory. The results show that theP value, which describes the relative charge density on the dust in the plasma, and the charging frequency of a dust particle Ω _c , which describes the ratio of charge changing of the dust particles, determine the character of the charge density fluctuation of low frequency. For a dusty plasma ofP≪1, when the charging frequency Ω _c , is much smaller than the dusty plasma frequency ω_d, there is a strong charge density fluctuation which is of character of dust acoustic eigenwave. For a dusty plasma ofP≫1, when the frequency Ω _c , is much larger than ω _d there are weaker fluctuations with a wide spectrum. The results have been applied to the ionosphere and the range of radius and density of dust particles is found, where a strong charge density fluctuation of low frequency should exist.     

平面刚架稳定问题的一种非线性分析方法

本文构造了既体现轴压力又体现侧向位移与轴向位移耦合因素的杆单元刚度方程,借助叠代逼近法处理非线性问题,综合杆件有限元分析的简便性与非线性分析方法的严密性,对受有水平和竖直均布载荷的单层与多层刚架稳定问题进行了研究,计算结果反映了多种因素对刚架力学响应的影响,得出有益的分析结论。     

贵县式三水铝土矿微量元素地球化学特征及其意义

本文应用微量元素地球化学理论,通过研究区内地层、红土剖面及矿物相中微量元素含量分配特点,结合野外观察结果,得出了本区三水铝土矿的成矿源岩是郁江组地层的结论,为本区找矿提供了新的线索。     

关于I_3-半群(Ⅱ)

本文利用半群代数理论及偏序集理论、方法,继续讨论了I_3-半群的若干性质及其幂零性问题。给出了I_3-半群为幂零的若干充要条件,特别是给出了幂零的I_3-半群的序结构特征,完全确定了全序幂零的I_3-半群的结构。