弱阻尼非线性Schrodinger—Boussinesq方程整体吸引子的有限维性质

We Consider the following initlal-boundary problem of nonlinear Schrodingcr-Boussinesq eguations with weakly dampness in a hounded domain Ω of R^N :     

气体自由膨胀的演示、模拟和熵增加原理

本文通过气体自由膨胀的演示、模拟，推知一切自然过程总是沿着无序性增大，即熵增大的方向进行，解释了热力学第二定律的微观意义。     

不具有平稳分布的负相协随机变量的强大数定律

本文应用Shao所提供的极大值矩不等式给出了两个不具有平衡分布的负相协随机变量列的强大数定律。     

Weakly Two—Dimensional Solitary Waves on Coupled Nonlinear Transmission Lines

We study the nonlinear solitary wave solution under the transverse perturbations for a system of coupled nonlinear electrical transmission lines.In the continuum limit and suitably scaled coordinates,the voltage on the system is described by a modified Zakharov-Kuznetsov equation.The cut-off frequency of the growth rate for the solitary waves under transverse perturbations has been analytically obtained.It is in agreement with the cases P=1/2 and p=1 which have been studied previously.     

一维凝聚生长的计算机模拟

在一维随机成核生长模型的基础上，考虑粒子的扩散和粒子数密度的影响，在最近邻及次近邻条件下模拟得到一些聚集生长的图形，并分析了其分形特征。     

Electronic Transmission Properties of Two—Dimensional Quasi—Lattice

In the framework of the tight binding model,the electronic transmission properties of two-dimensional Penrose lattices with free boundary conditions are studied using the generalized eigenfunction method (Phys.Rev.B 60(1999)13 444).The electronic transmission coefficients for Penrose lattices with different sizes and widths are calculated,and the result shows strong energy dependence because of the quasiperiodic structure and quantum coherent effect.Around the Fermi level E=0,there is an energy region with zero transmission amplitudes,which suggests that the studied systems are insulating.The spatial distributions of several typical electronic states with different transmission coefficients are plotted to display the propagation process.     

Wielandt-Hoffman定理在四元数体上的推广

将矩阵论中重要的Ｗｉｅｌａｎｄｔ－Ｈｏｆｆｍａｎ定理推广到实四元数体上，并给出它的几个应用。     

(2+1)维Burgers方程新的复合解

In this paper, a new generalized compound Riccati equations rational expansion method （GCRERE） is proposed. Compared with most existing rational expansion methods and other sophisticated methods, the proposed method is not only recover some known solutions, but also find some new and general complexiton solutions. Being concise and straightforward, it is applied to the （2＋1）-dimensional Burgers equation. As a result, eight families of new exact analytical solutions for this equation are found. The method can also be applied to other nonlinear partial differential equations.     

机械动态系统混沌状态特征与判据应用研究

本基于混沌动力学与分行几何学理论分析，通过研究机械动态系统的Lypunov指数、关联维数、Kolmogorov熵以及它们对系统吸引子特征的描述，结合递次振幅图方法，提供了一种证明系统状态混沌性的方法。并以变速箱中齿轮运行状态为例，通过对其动态信号混沌特征量的研究，证实了该系统混沌性，进而得出对系统故障进行进一步混沌预测的可行性。     

HgMnTe磁性二维电子气自旋-轨道和交换相互作用研究

通过分析不同温度下HgMnTe磁性二维电子气Shubnikov-de Hass（SdH）振荡的拍频现象，研究了量子阱中电子自旋 轨道相互作用和spd交换相互作用.结果表明：（1）在零磁场下，电子的自旋 轨道相互作用导致电子发生零场自旋分裂；（2）在弱磁场下，电子的自旋-轨道相互作用占主导地位，并受Landau分裂和Zeeman分裂的影响，电子的自旋分裂随磁场增加而减小；（3）在高磁场下，电子的spd交换相互作用达到饱和，电子的自旋分裂主要表现为Zeeman分裂.实验证明了当电子的Zeeman分裂能量与零场 关键词： 磁性二维电子气 Zeeman分裂 Rashba自旋分裂