基于高阶色散管理和相位共轭技术的色散补偿

相位共轭技术能够同时且高效地补偿二阶色散及非线性效应，且该技术同信号比特率、调制方式无关，是最有前景的色散补偿技术之一。理论分析了在高阶色散作用下，超短高斯脉冲信号在中距相位共轭通信系统中的传输演化特性，数值模拟了在二阶、三阶和四阶色散作用下，飞秒高斯脉冲信号在基于中距相位共轭技术的光纤色散管理链中的动态传输过程。结果表明，相位共轭技术和高阶色散管理相结合，不仅可以补偿和复原包括奇数阶和偶数阶色散在内的全部色散和非线性所引入的信号失真和畸变，而且能够减弱时分复用系统中脉冲之间的相互作用，使得信号在传输一个周期后恢复波形，从而提高了相位共轭系统对失真信号的补偿性能。     

Global periodic attractor of a class of third-order phase-locked loop

The uniform boundedness and existence of a global periodic attractor for a third-order phase-locked loop with general phase detector characteristics and frequency modulation input is proved under some parametric conditions. Project supported by the National Natural Science Foundation of China.     

Analysis of third-order methods for secular equations

Third-order numerical methods are analyzed for secular equations. These equations arise in several matrix problems and numerical linear algebra applications. A closer look at an existing method shows that it can be considered as a classical method for an equivalent problem. This not only leads to other third-order methods, it also provides the means for a unifying convergence analysis of these methods and for their comparisons. Finally, we consider approximated versions of the aforementioned methods.

     

Stochastic bounds for attained levels

Asymptotic inequalities are obtained for the level attained by any test statistic in a given hypothesis testing problem. The bounds so obtained are themselves random. The inequalities subsume previous results by Bahadur and others about the asymptotic behavior of attained levels. Various remifications of the inequalities are discussed, including a notion of stochastic deficiency.     

上次对角双线性时间序列模型的近似三阶矩结构和双谱密度

本文讨论一类特殊的双线性时间序列模型，该模型中，每一个双线性项均为两个相关的随机变量的乘积，该模型的二阶结构(自协方差和谱)目前已经很清楚了，同线性ARMA模型类似，亦具有有理谱密度，理论上，为了识别该模型，通常是考虑三阶结构(三阶矩和双谱)，但由于该模型的复杂性，精确的三阶结构是无法求出的，本文给出一种计算近似三阶矩的公式，由此得到了近似的双谱密度，仿真计算验证了这种方法是有效的。     

具有平面结构的四齿肼基硫代甲酸苄酯席夫碱镍配合物的合成,晶体结构和三阶非线性光学性质研究

０IntroductionThereiscurrentlyintenseresearchinterestinde－velopingnewnonlinearmaterialswithhighthird－ordernonlinearopticaleffectsduetotheirpotentialapplica－tionsinanumberofimportanttechnologiesincludingopticalpowerlimitingforsensorprotection，opticalswitches，allopticalsignalprocessingandopticalcom－puting犤１～３犦．Metalcomplexeswithplanar，π－conjugatedtetradentateorbidentateligandareofparticularinterestbecausetheycontainbothelectronsthatarefreetomovewithintheπextendedsystemoftheligand…     

新型合偶氮功能团的双炔类衍生物非线性光学性质的理论研究

在SM1和ZINDO方法基础上，按完全态求和公式计算分子二阶非线性光学系数β(ijk)和三阶非线性光学系数γ(ijkl)，并对含偶氛功能团的双快类衍生物的二阶、三阶非线性光学性质进行了系统的理论研究．即在基础上，在分子左端引入推电子基N（CH3）2，右端分别引入推电子基CH2OH、2，5-二氮-4-硫甲苯基，研究取代基变化时β、γ变化的规律．对计算结果所反映的规律性在微观上给予了解释．     

不连续三阶两点边值问题的可解性

证明了非线性三阶两点边值问题u′″（t）-q（u″（t））f（t，u（t）），u（O）=a，u（1）=b，u″（0）=c解的一个存在定理．在这个问题中，f（t，u）是一个Carathéodory函数而边界条件是非齐次的．我们的结论表明该问题能够有一个解，只要在R。的某个有界集合上q（υ）的“本性高度”与f（t，u）的“最大高度”积分的乘积是适当的．     

New Criteria on Oscillatory and Asymptotic Behavior of Third-Order Nonlinear Dynamic Equations with Nonlinear Neutral Terms

In the paper, we provide sufficient conditions for the oscillatory and asymptotic behavior of a new type of third-order nonlinear dynamic equations with mixed nonlinear neutral terms. Our theorems not only improve and extend existing theorems in the literature but also provide a new approach as far as the nonlinear neutral terms are concerned. The main results are illustrated by some particular examples.