Langford系统Hopf分叉的线性反馈控制

分析Langford系统的Hopf分叉现象，并研究采用线性反馈控制方法控制该系统的Hopf分叉.从理论上推导出受控系统产生Hopf分叉的条件，给出了某些极限环的解析表达式，对该系统进行了分叉点的转移与极限环的稳定性控制.数值模拟说明本文采用的方法对Langford系统的Hopf分叉控制是有效的. 关键词： Langford系统 反馈控制 Hopf分叉 极限环     

Structural Change in Au^3＋-Doped BK7 Glass Irradiated by Femtosecond Laser

We report on structural change in an Au^3＋-doped BK7 glass irradiated by an infrared femtosecond laser at 800 nm. A grating structure is inscribed in the glass sample. The glass sample is then annealed at various temperatures. Structural change of the grating is observed by an optical microscope. Absorption spectra indicate that colour centres are induced after the laser irradiation, and they decrease with increasing annealing temperature. Au nanoparticles are precipitated at high temperatures （≥ 600℃）. The mechanisms of the phenomena are discussed.     

用冲击电流计测定真空介电常数ε_0

本文介绍一种能同时测定真空中的介电常数ε_0的值及平行板电容器的分布电容的方法.由于原理、方法均较简单,且可进行冲击电流计使用及作图法求物理量的练习,故可作为普物电学实验的内容.     

Dynamic bifurcation of a modified Kuramotoben Sivashinsky equation with higher-order nonlinearity

Under the periodic boundary condition, dynamic bifurcation and stability in the modified Kuramoto—Sivashinsky equation with a higher-order nonlinearity μ(u_x)^pu_xx are investigated by using the centre manifold reduction procedure. The result shows that as the control parameter crosses a critical value, the system undergoes a bifurcation from the trivial solution to produce a cycle consisting of locally asymptotically stable equilibrium points. Furthermore, for cases in which the distances to the bifurcation points are small enough, one-order approximations to the bifurcation solutions are obtained.     

分数扩散模型的参数估计及其应用

研究分数扩散模型的参数估计及其应用问题.分数扩散模型是一类由分数Brownian运动驱动的随机微分方程.主要结果有:(1)利用二次变差方法给出模型中扩散系数的估计量,通过最小二乘法给出模型中漂移系数的估计量;(2)证明这些估计量的一致收敛性和渐近正态性;(3)利用MCMC方法对此估计量进行验证,并通过R软件将上述模型以及参数估计量应用到SHIBOR利率中进行实证研究.     

金属蒸气真空弧离子源CO离子注入对不锈钢摩擦磨损性能的影响

采用金属蒸气真空弧离子源对1Cr18Ni9Ti不锈钢进行Co离子注入,考察了注入处理试样的摩擦磨损性能.结果表明:Co注入处理样品的表面硬度比未注入样品的高1.0～1.5倍,且硬度随离子束流密度的增大而增大;Co注入处理试样的摩擦系数显著降低至约0.20,磨损体积损失降低25%～45%;当束流密度为22μA/cm2、注入剂量为5×1017/cm2时,注入处理样品的摩擦系数为0.19,耐磨寿命最长;在所选定的试验参数范围以内,当临界束流密度处于22μA/cm2时,保留剂量最大,改性表面硬度最高,耐磨性能最佳.     

超手征模型中无穷多守恒流的Noether分析与Kac-Moody代数结构

从超手征模型的超场形式出发,讨论了其拉氏形式的H^-变换性质。阐明了该变换与Bcklund变换、无穷多守恒流以及Kac-Moody代数结构的密切联系。     

Study of new boson W_1~± in the Minimal Higgsless Model at the LHC

The Minimal Higgsless Model predicts the existence of new vector gauge boson W1± . By the process PP → W1± qq → W±Z0qq, Z0 → l+l-, W±→ qq (l=e,μ; q is hadronized to be jets), we study the sensitivity of searching for this possible vector gauge boson in the level of generator events of signal and backgrounds, then give integrated luminosity required to discover 5σ signal as a function of W1± mass. The generator for the signal PP→W1± qq→W±Z0qq at tree level is developed with the Minimal Higgsless Model and th...     

带有B&L转换规则的Vp(X)和R控制图的经济设计

在已有Vpx和R控制图基础上,结合B&L转换规则,构建了控制图经济模型,给出了相应的费用函数.运用数值实例将构建的模型与现有Vp 和R控制图进行了比较分析,发现构建的模型可以明显的缩短报警时间,减少单位生产费用.并针对数值实例,运用了遗传算法搜索经济设计的最优解,验证了该模型的节约效果.