Nonlinear Schrdinger equation with combined power-type nonlinearities and harmonic potential

This paper discusses a class of nonlinear Schrdinger equations with combined power-type nonlinearities and harmonic potential. By constructing a variational problem the potential well method is applied. The structure of the potential well and the properties of the depth function are given. The invariance of some sets for the problem is shown. It is proven that, if the initial data are in the potential well or out of it, the solutions will lie in the potential well or lie out of it, respectively. By the convexity method, the sharp condition of the global well-posedness is given.     

基于等概率符号分析方法计算互信息确定延迟时间

用互信息函数确定混沌时间序列相空间重构最佳延迟时间.针对常规符号分析方法计算互信息准确度不高的缺陷,提出等概率符号分析方法计算互信息,即对时间序列按值域大小重排列,再对重排后的序列进行等概率分割,分割的组数由分组经验公式确定,然后取每组的边界值组成符号分析方法的临界点集合进行计算.通过对Lorenz方程和强迫Brusselator振子进行仿真实验,得到的最佳延时与Fraser等概率分格子法得到的结果一致,而算法上更容易实现,证明方法有效.     

Non-smooth bifurcations in a double-scroll circuit with periodic excitation

The fast-slow effect can be observed in a typical non-smooth electric circuit with order gap between the natural frequency and the excitation frequency. Numerical simulations are employed to show complicated behaviours, especially different types of busting phenomena. The bifurcation mechanism for the bursting solutions is analysed by assuming the forms of the solutions and introducing the generalized Jacobian matrix at the non-smooth boundaries, which can also be used to account for the evolution of the complicated structures of the phase portraits with the variation of the parameter. Period-adding bifurcation has been explored through the computation of the eigenvalues related to the solutions. At the non-smooth boundaries the so-called `single crossing bifurcation' can occur, corresponding to the case where the eigenvalues jump only once across the imaginary axis, which leads the periodic burster to have a quasi-periodic oscillation.     

Piezoelectric transducer parameter selection for exciting a single mode from multiple modes of Lamb waves

Excitation and propagation of Lamb waves by using rectangular and circular piezoelectric transducers surface-bonded to an isotropic plate are investigated in this work. Analytical stain wave solutions are derived for the two transducer shapes, giving the responses of these transducers in Lamb wave fields. The analytical study is supported by a numerical simulation using the finite element method. Symmetric and antisymmetric components in the wave propagation responses are inspected in detail with respect to test parameters such as the transducer geometry, the length and the excitation frequency. By placing only one piezoelectric transducer on the top or the bottom surface of the plate and weakening the strength of one mode while enhancing the strength of the other modes to find the centre frequency, with which the peak wave amplitude ratio between the S0 and A0 modes is maximum, a single mode excitation from the multiple modes of the Lamb waves can be achieved approximately. Experimental data are presented to show the validity of the analyses. The results are used to optimize the Lamb wave detection system.     

MICROMEGAS一维位置编码读出初步测试

介绍了微型网状结构的气体探测器一维位置编码读出的基本原理和实现方法。设计了一块灵敏面积为10 cm×10 cm的一维位置编码PCB读出电极。测试表明: 感应读出是可行的, 电荷按1∶2分配最为理想; 利用55Fe放射源X射线通过200 μm狭缝对准读出电极PCB板的正面中任意一条, 位置编码读出能很好地再现源所在狭缝的位置。针对其局限性, 提出了一维位置分组编码读出技术, 以解决相邻多条同时点火的情况。使用该读出技术, 使一维读出电子学路数节省量达到75%以上。The basic principles and implementation of one dimensional position encoding read out for MICROMEGAS have been introduced in this paper. A 10 cm×10 cm prototype of one dimensional position encoding read out electrode based on printed circuit board was designed. Preliminary test indicates that the induction read out is feasible and the ideal charge distribution is 1∶2. X rays emitted from 55Fe source were collimated to one of strips on the read out electrode through a slit of 200 μm, position decoding well reproduced the position of the 55Fe source. For its limitations, we have proposed a one dimensional grouped position encoding read out technique to address a neighboring strips simultaneously fired situation. The amount of read out electronics is very easy to approach a obduction of 75% with position encoding read out technology.     

非标记夹心式电化学可卡因适体传感器的研究

设计一种基于双链核酸适体的非标记夹心式电化学适体传感器, 建立简单、高灵敏度的可卡因分析方法. 首先将末端巯基修饰的捕获适体探针组装在金电极表面, 构建可卡因适体传感器. 该传感器与目标分子可卡因和部分互补的检测适体探针作用后, 在电极表面形成适体/可卡因/适体复合物. 以六氨合钌为信号分子, 基于单链适体和适体/可卡因/适体复合物对六氨合钌吸附量的不同, 通过计时电量法检测电极表面吸附六氨合钌的还原电量, 进行可卡因的分析检测. 在优化的条件下, 还原电量与可卡因浓度在1～50 mmol/L范围内呈良好的线性关系, 检出限为0.1 mmol/L. 用于血清中可卡因的检测, 回收率为96.4%～104%. 该方法简单, 灵敏度高, 可作为一种通用型的适体传感器模型.     

水溶性磺酸钠苯基卟啉及其金属配合物共价与非共价修饰多壁碳纳米管的研究

合成了meso-四(4-磺酸钠苯基)卟啉及其Zn, Cu, Mn配合物, 通过共价与非共价的方法将其分别修饰到多壁碳纳米管上. 采用红外光谱对产物结构进行表征|通过透射电镜(TEM)考察了卟啉-多壁碳纳米管复合物的形貌特征|通过紫外光谱、荧光光谱对比分析了两类复合物, 发现在卟啉与多壁碳纳米管之间存在较强的电子效应, 同时发现非共价修饰的卟啉-碳纳米管复合物的荧光淬灭率更高|热重分析(TGA)表明非共价的卟啉-碳纳米管复合物中卟啉的含量比较高. 对修饰后的复合物进行了溶解性测试, 结果表明共价修饰的复合物在水中有较好的溶解性和分散性.     

酸碱性与人类生活——“溶液的酸碱性”课堂教学设计与感悟

有效地开展探究活动,让化学课成为学生终生受益的一门学科,是当前面临的一个重要课题。以苏教版《化学反应原理》（选修4）专题3“溶液中的离子反应”第二单元为例,阐述新课程理念下新课程教学中“从生活走进化学,从实验研究化学,从化学走向社会”的基本教学思路,并探研了教学实施时的要项。