中心单Poisson代数

确定了特征0的代数闭域上与局部有限导子相关的中心单Poisson代数的结构. 这些Poisson代数的Lie代数结构一般来说不是有限阶化的.     

x′=g(x,t)+h(t)型方程的拓扑动力系统与Kurzweil-Henstock积分

本文借助Sell等人建立的局部动力系统理论,利用Kurzweil-Henstock积分,建立了x′=g(x,t)+h(t)型非自治微分方程的拓扑动力系统,为进一步讨论这种方程解的渐近行为作了基础性的工作.本文的工作也是Sell等人工作中有关结论的推广(参见文[1-12]).     

Experimental and Theoretical Evidence for the Existence of Broad Forbidden Gaps in the Three—Component Composite

The influence of localized resonance on the properties of band-gaps of the two-dimensional periodic composite are analysed numerically and experimentally by comparing the two-component phononic crystal with the three-component one. The three-component composite which exhibits localized resonance in the elastically soft coating ring is composed of a square array of coated cylinders embedded in an epoxy resin. The coated cylinders consist of a steel inner core and a rubber coating, which has much smaller wave velocity and mass density than the matrixand tile inner material. Tile measured transmission power of tile three-component composite drops to the noise level in a broad ultrasonic frequency interval in contrast to the binary composite, which is in good agreement with the calculation using the finite element method.     

Multiplexing Chaotic Signals Generated by Colpitts Oscillator and Chua Circuit Using Dual Synchronization

We demonstrate multiplexing chaotic signals generated by two totally different dynamic systems (one is a Colpitts oscillator and the other is a Chua circuit) using dual synchronization and propose a method to select the proper coupling parameters. In the response systems, the cross coupling method is used, in which the voltage difference between the sum of two master oscillators and one slave oscillator is converted to current and then feed into the other slave oscillator. The result in this letter offers a potential multiuser coherent chaotic communication scheme where different chaotic oscillators can be used in one system.     

正系数多项式倒数逼近的点态和整体估计

利用Ditzian-Totik光滑模对于[0,1]上定义的非角连续函数f(x)，且f(x)≠0，文中证明存在正系数多项式Pn(x)及常数C，使得|f9x)-1/Pn(x)|≤Cωψ^λ（f,n^-1/2(ψ(x) 1/√n)^1-λ)。当λ＝1时，上述结果导出已有的整体估计，而当0≤λ＜1时，得到倒数逼近一个新的点态局部估计。     

从B~3到旋转椭球面的带某类边界调和映照的存在性

本文研究从单位球到旋转椭球面的调和映照问题，简化问题为一个双变量的二阶椭圆型拟线性方程，并仔细分析了方程解的状况，证明了，当给定某类度数是零的单位球面到棉球面的轴对称映照时，必存在到Ｂ３的轴对称正则调和延拓．     

解三维抛物型微分方程的一族高精度显式差分格式

对求解三维抛物型微分方程利用待定参数法构造出截断误差为Ｏ（Δｔ２＋Δｘ４＋Δｙ４＋Δｚ４）的一族高精度的三层显式差分格式，并讨论了其稳定性．     

Synchronizing Complex Networks by an Adaptive Adjustment Mechanism

We propose an adaptive adjustment mechanism for synchronizing complex networks, in particular for sociological or/and biological systems. We do not take it for granted that a dynamical system is put on isolated nodes and they are coupled with each other by one （or more） variable（s）, as employed in most previous models. As a replacement, we suppose that each node may have any finite number of possible states, and their evolutions with time are determined by their nearest-neighbouring （or even second-nearest-neighbouring, etc） nodes in an adaptive adjustment mechanism. It is found that synchronization can be achieved for almost all connected networks and that the scale-free property can evidently improve the synchronizing speed.     

成对组合弯头ζ值的试验研究

本文试验研究了成对组合弯头组合后局部阻力系数ζ值的变化规律,并结合生产提出了建议.     

合肥光源二分割三角型光位置检测器的研制

介绍了一种用于合肥光源的二分割三角型光位置检测器的研制,对其主要性能(如灵敏度和线性范围)进行了理论分析和实际测量,测量结果与理论分析相当吻合.文中还给出了光位置测量系统的组成