Critical Point Theorems and Applications to Differential Equations

This paper contains a generalization of the well-known Palais-Smale and Cerami compactness conditions. The compactness condition introduced is used to prove some general existence theorems for critical points. Some applications are given to differential equations.     

光纤传感振动检测系统及其实验研究

实际工程结构中的振动检测是十分重要的，也是十分复杂的，常用的结构振动检测传感器易受工程现场恶劣环境的影响．而光纤传感器具有小巧、抗电磁干扰、灵敏度高、适合长期监测等优点。本文建立了基于马赫—曾德(Mech-Zehnder)干涉原理的光纤传感振动检测系统．研制了运用先进的数字信号处理技术采集和处理数据的专用软件，并在典型结构件——钢制悬臂梁结构上进行了外加信号作用下的强迫振动检测和冲击载荷作用下的自由衰减振动检测，测量了该结构件的频率及振幅，其结果与同时进行的成熟的电测结果相近，说明光纤传感器用于结构件的振动测量是可靠的。本文为光纤传感器应用于实际工程的振动检测提供了新的技术装置，具有工程应用前景。     

Nano-tribological study on a super-hydrophobic film formed on rough aluminium substrates

A novel super-hydrophobic stearic acid (STA) film with a water contact angle of 166^o was prepared by chemical adsorption on aluminum wafer coated with polyethyleneimine (PEI) film. The micro-tribological behavior of the super-hydrophobic STA monolayer was compared with that of the polished and PEI-coated Al surfaces. The effect of relative humidity on the adhesion and friction was investigated as well. It was found that the STA monolayer showed decreased friction, while the adhesive force was greatly decreased by increasing the surface roughness of the Al wafer to reduce the contact area between the atomic force microscope (AFM) tip and the sample surface to be tested. Thus the friction and adhesion of the Al wafer was effectively decreased by generating the STA monolayer, which indicated that it could be feasible and rational to prepare a surface with good adhesion resistance and lubricity by properly controlling the surface morphology and the chemical composition. Both the adhesion and friction decreased as the relative humidity was lowered from 65% to 10%, though the decrease extent became insignificant for the STA monolayer. The project supported by the National Natural Science Foundation of China (50375151, 50323007, 10225209) and the Chinese Academy of Sciences (KJCX-SW-L2)     

反射式微光机电系统(MOEMS)的研究现状与展望

反射式微光机电系统是微光机电系统中的重要组成部分,近年来得到了较快的发展。介绍了反射式微光机电系统(MOEMS)的研究现状和最新进展。根据反射式微光机电系统的分类,列举了一些具有代表性的反射式MOEMS器件。简要介绍了反射式MOEMS的加工工艺;阐述了反射式MOEMS的应用领域;展望了发展前景。     

高压增氧T′相R_2CuO_(4+δ)(R=Nd～Tm)低温磁性研究

T′相R2CuO4稀土铜氧化合物由于尺度效应而产生弱铁磁性行为已经被人们关注,报导了通过高温高氧压(6GPa,1000℃)合成稀土T′相R2CuO4(R=Nd,Sm,Eu,Gd,Tb,Dy,Ho,Er和Tm)化合物的结构和磁学性能。磁化率曲线显示,在低温下所有的高压增氧R2CuO4样品都出现新的低温弱铁磁性反常行为,转变温度在28K附近。新的低温弱铁磁性行为是由于CuO2面上微量氧空穴的掺入,使处于反铁磁有序CuO2面形成局域化的铁磁性团簇造成。实验证明新发现的低温弱铁磁性行为与尺度效应产生弱铁磁性行为属于完全不同的物理机制。结果还预示T′相R2CuO4稀土铜氧化合物很难通过空穴掺杂而实现超导。     

浅谈GSM系统

 GSM原意为移动通信特别小组(GroupSpecialMobile)。该组织成立于1982年,旨在制定一个欧洲移动通信系统的特性规范,以便使整个欧洲采用一个统一的移动通信制式,让移动通信用户在欧洲各国的移动通信成为可能。今天,所谓的GSM,就是泛欧数字移动通信系统(GiobalsystemforMobileCommunication),它有效地克服了模拟制式移动通信系统存在的频谱利用率低、容量小、制式不统一、联网漫游困难、不能提供数据等非话业务以及话音失真、保密性差等缺点。GSM的发展,弥补了有线电话的严重不足,解决了人们在任何地点、任何时间的通信联络。     

耦合非线性Schrdinger系统的多辛差分格式

近年来,Bridges等人在Hamiltonian力学意义下,直接把有限维Hamiltonian系统推广到无穷维,通过引入新的函数坐标,使得偏微分方程在时间和空间的各个方向上都有各自不同的有限维辛结构,这样原偏微分方程就由各个有限维辛结构以及右端的梯度函数决定,称这样的方程为多辛Hamiltonian系统.多辛Hamiltonian系统满足多辛守恒定律,满足多辛Hamiltonian系统的多辛守恒律的离散算法称为多辛算法.以耦合非线性Schr dinger方程为例,研究无穷维Hamiltonian系统的多辛算法,验证了两孤立子碰撞后会发生相互通过、反射及融合现象.     

The First and Facile Synthesis of (±) Syringaresinol

The first and facile synthesis of (±)syringaresinol was described.     

符号空间的拟移位和Moebius带上的奇怪吸引子

给出了双边符号空间上的一种新的拟移位映射，得到了它与传统的移位映射拓扑共轭．类似Smale马蹄，对这种拟移位映射给出了一个模型，即在Moebius带上给出一类映射．同时刻划了这类映射的吸引子的结构及动力学行为．     

Local Prediction of Chaotic Time Series Based on Support Vector Machine

Based on phase space delay-coordinate reconstruction of a chaotic dynamics system, we propose a local prediction of chaotic time series using a support vector machine （SVM） to overcome the shortcomings of traditional local prediction methods. The simulation results show that the performance of this proposed predictor for making onestep and multi-step prediction is superior to that of the traditional local linear prediction method and global SVM method. In addition, it is significant that its prediction performance is insensitive to the selection of embedding dimension and the number of nearest neighbours, so the satisfying results can be achieved even if we do not know the optimal embedding dimension and how to select the number of nearest neighbours.