方形自聚焦透镜的研制

经过方形玻璃丝的加工、离子交换及成品的精密加工等过程，成功制出了方形自聚焦透镜.并采用聚焦成像和雅明干涉等方法对其光学特性进行测试，得出了方形自聚焦透镜本身所具有的一些特性：中心部分畸变较小，成像性能好；四个棱角内的球差较大，像质较差;折射率分布不具有旋转对称性，而是与方向和半径有关.     

迈克耳逊干涉仪的彩色光环的调节与拍摄

本文介绍了迈克耳逊干涉仪的彩色光环的产生机理、快速调节与拍摄方法。     

Liquid crystal lens with focus movable in focal plane

A liquid crystal lens with focus movable in the focal plane is reported. There are three electrodes in the cell. One electrode with a hole in the center is divided into four subelectrodes. The potential of each subelectrode is adjusted to produce a desired asymmetrical phase transformation resulting in off-axis movement of the focus. The potential of another electrode is adjusted to maintain the focus in the focal plane. Movements of the focus in three directions in the focal plane are demonstrated experimentally, and off-axis movement as large as approximately 800 μm is realized.     

聚乙二醇蓄热调温性能及其在功能纺织品上的应用

对聚乙二醇(PEG)的自身交联及其与纤维素纤雏之间的交联反应进行了研究，探讨了交联前后PEG热活性的变化，并对PEG在焙烘交联时的受热稳定性以及分子量对热活性的影响进行了讨论。研究表明，PEG发生交联反应后，热性能参教产生偏移，热活性降低；热活性与分子量有直接关系；过高的焙烘温度将导致PEG氧化降解，热活性下降。在适宜的工艺条件下，纺织品经PEG后整理可获得热活性。     

基于PLC的三维调整机同步控制系统设计与实现

针对三维调整机难以实现多台同步工作，设计了基于PLC的同步控制方案。在同步控制系统方案中，采用西门子PLC通过工业无线以太网进行同步控制，由各维度油缸的位移传感器来保证同步控制的精确性。经实验，证实了此系统的精度满足设计要求，实现了同步控制的效果。     

Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: Pro or contra?

The phenomenon of a topological monodromy in integrable Hamiltonian and nonholonomic systems is discussed. An efficient method for computing and visualizing the monodromy is developed. The comparative analysis of the topological monodromy is given for the rolling ellipsoid of revolution problem in two cases, namely, on a smooth and on a rough plane. The first of these systems is Hamiltonian, the second is nonholonomic. We show that, from the viewpoint of monodromy, there is no difference between the two systems, and thus disprove the conjecture by Cushman and Duistermaat stating that the topological monodromy gives a topological obstruction for Hamiltonization of the rolling ellipsoid of revolution on a rough plane.     

Pr0．45（Ca1-xSrx）0．55MnO3体系调带宽引起的磁相变及电输运性质转变

采用固相法制备了Pr0．45（Ca1-xSrx）0．55MnO3（x=0．0,0．2,0．4,0．6,0．8,1．0）多晶样品．通过测量样品的X射线衍射（XRD）谱、磁化强度-温度（M～T）曲线、电阻率-温度（ρ～T）曲线,研究了Sr^2＋替代Ca^2＋对Pr0．45Ca0．55MnO3体系磁性和电性的影响．实验发现：...     

Twelve limit cycles around a singular point in a planar cubic-degree polynomial system

In this paper, we prove the existence of 12 small-amplitude limit cycles around a singular point in a planar cubic-degree polynomial system. Based on two previously developed cubic systems in the literature, which have been proved to exhibit 11 small-amplitude limit cycles, we applied a different method to show 11 limit cycles. Moreover, we show that one of the systems can actually have 12 small-amplitude limit cycles around a singular point. This is the best result so far obtained in cubic planar vector fields around a singular point.     

Persistent centers of complex systems

On the basis of some works on persistent centers and weakly persistent centers, in this paper we discuss a generalized version of persistent center and weakly persistent center for complex planar differential systems, in which conjugacy of variables may not be required. We give some complex systems which have a persistent center or weakly persistent center at the origin. Then, we find all conditions of persistent center for cubic systems and all conditions of weakly persistent center for complex cubic Lotka–Volterra system. Relations between complex systems and real ones are given concerning persistent centers and weakly persistent centers.     

用激光法测量凹透镜焦距的探究

结合简单的几何原理,根据激光光源的特性提出了一种简便测量凹透镜焦距的新方法.