Period distribution analysis of some linear maps

This paper discusses period properties of some linear maps which are employed in various applications such as image encryption, public key cryptography and watermarking. Conditions for the bijectiveness of such maps and the existence of a period are presented. Period structure is also given. Then, the recurrence equation theory is adopted to address the period distribution problem. Finally, a framework to solve the problem is proposed with a demonstration of its effectiveness and efficiency into some applications.     

A new modification of false position method based on homotopy analysis method

A new modification of false position method for solving nonlinear equations is presented by applying homotopy analysis method （HAM）. Some numerical illustrations are given to show the efficiency of algorithm.     

Local Hopf bifurcation and global existence of periodic solutions in TCP system

This paper investigates the dynamics of a TCP system described by a first- order nonlinear delay differential equation. By analyzing the associated characteristic transcendental equation, it is shown that a Hopf bifurcation sequence occurs at the pos- itive equilibrium as the delay passes through a sequence of critical values. The explicit algorithms for determining the Hopf bifurcation direction and the stability of the bifur- cating periodic solutions are derived with the normal form theory and the center manifold theory. The global existence of periodic solutions is also established with the method of Wu （Wu, J. H. Symmetric functional differential equations and neural networks with memory. Transactions of the American Mathematical Society 350（12）, 4799-4838 （1998））.     

Femtosecond laser-induced microstructure in Foturan glass

We report on the microstructure formation in Foturan glass, induced by 1~kHz, 120 femtosecond laser irradiation. It is found that the line-shaped filamentation, not void array tends to be formed in this glass. This is different from our previous experimental results in fused silica and BK7 glasses. A possible mechanism Ag$^+$ captures the free electrons generated by laser, is proposed to explain the observed phenomena.     

分子模拟用于尤文肉瘤EWS-FLI1蛋白HLA-A2.1限制性CTL表位的筛选

为获得尤文肉瘤EWS-FLI1融合蛋白有效的HLA-A2.1限制性CTL表位, 综合运用BIMAS, SYFPEITHI, Predep和IEDB方案对EWS-FLI1进行CTL表位的预测, 得出8个CTL表位9肽序列; 应用多项式方案、量化基序方案对8个表位9肽进一步进行筛选, 获得其中4个9肽序列, 并进一步运用分子模拟方法初步模拟了4个表位肽与HLA-A2.1分子间的相互结合作用; 应用标准Fmoc方案合成CTL表位肽, RP-HPLC与MS分别鉴定合成肽的纯度与分子量; 通过亲和力实验验证了表位肽QIQLWQFLL_{(EWS-FLI1 304)}与HLA-A2.1有较强的结合力, 从而为表位肽的后继免疫学特性研究提供了基础. 本研究提供了一个合理高效的表位筛选方法.     

Sudden death and revival of entanglement of two qubits coupled collectively to a thermal reservoir

In this paper, we investigate the entanglement of two qubits coupled collectively to a common thermal environment and find that the the collective decay can lead to a revival of the entanglement that has already been destroyed. We also show that the ability of the system to revival entanglement relies on the mean photon number of the thermal environment and the degree of entanglement of the initial state.     

层状岩体的Cosserat介质均匀化

将层状岩体视为由Cosserat介质组成的复合体,对其进行均匀化等效,在MATLAB平台上进行有限元编程,得到新等效本构关系。不仅能反映层状岩体的弯曲特性,而且可以对节理岩体的力学性能进行宏观和细观描述。通过对洞室算例进行显式节理模型、横观各向同性模型以及均匀化Cosserat等效模型三种方法的数值计算比较,证明理论分析与计算方法可行有效。     

含有光纤光栅的萨尼亚克环的透射特性分析

详细分析了由光纤光栅和萨尼亚克（Sagnac)环构成的透射滤波器的特性,给出了在均匀光纤光栅的情况下,该滤波器透过率的解析公式,结果表明该滤波器的透射光谱是余弦函数调制后的光纤光栅反射光谱,当光纤光栅是“强”耦合时,该滤波器可以构成多通带滤波器,而当纤光栅为“弱”耦合时,该滤波器可以构成单通带滤波器,这些滤波器可应用于现代光纤通信系统中。     

双偏振结构保偏光纤偏振器的研制

提出了保偏光纤偏振器的一种串联结构,即双偏振结构,报道了研制的结果。并通过对单偏振结构和双偏振结构器件测试结果的比较,得出双偏振结构的保偏光纤偏振器可使器件达到高消光比,并且有稳定的温度特性。     

磁流变减振器控制研究

从混合工作模式推导出了磁流变减振器的阻尼力与控制电流之间的关系,并以此为依据设计出磁流变减振器的控制器,经实验测试控制器具有响应速度快、输出精度高等特点,对磁流变减振器的控制效果令人满意。