A new method for finding cycles by semilinear control

In the paper two new results that prove typically real and local univalent properties of certain class of rational functions in the unit disc $\mathbb{D}$ are presented. They provide a theoretical justification of a new method for finding periodic solutions of the discrete vector dynamical systems. The main goal of the paper is to propose and investigate the two-delays generalization of the scheme introduced by Ö. Morgül. The analysis shows that the coefficients in the proposed method can be chosen in a way that improves the admissible range of parameters. The method is elementary and easy to implement. Furthermore, numerical experiments with several well known maps show effectiveness of the control scheme.     

Error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex fractional Ginzburg–Landau equations

In this paper, we discuss the error estimate of Fourier pseudo-spectral method for multidimensional nonlinear complex space fractional Ginzburg-Landau equations. The continuous mass and energy inequalities as well as their discrete versions are presented. Moreover, by the discrete mass and energy inequalities, the error estimate of the Fourier pseudo-spectral scheme is established, and the scheme is proved to have the spectral accuracy.     

基于离散极大值法的太赫兹光谱特征吸收峰提取方法

太赫兹波在电磁波谱中介于微波和红外辐射之间，具有指纹特性、安全无损、强穿透性等特点，因此太赫兹光谱技术在药品成分和组成检测领域具有广泛应用价值。针对高纯度物质识别研究中存在部分弱吸收峰不易识别，以及混合物的太赫兹光谱中吸收峰强度降低而导致吸收峰位信息模糊化的问题，提出了一种基于离散极大值法的光谱吸收峰位识别方法，即伴随拐点法。伴随拐点法首先利用目标检测物太赫兹吸收系数谱图的一阶和二阶导数确定吸收峰位的伴随拐点和基线谱，其次将原始吸收光谱与基线谱进行差分运算得到差谱，最后根据离散极大值法确定吸收峰位，从而实现特征吸收峰的识别。为验证伴随拐点法的有效性，采用伴随拐点法对四种硝基呋喃类样品光谱进行吸收峰提取，并将吸收峰位识别结果与仿真结果进行比较。实验结果证明，伴随拐点法能有效识别目标检测物的强吸收峰和弱吸收峰。该方法不仅在含峰目标物的太赫兹特征吸收峰识别问题中具有广泛的应用前景，还适用于其他光谱的谱峰峰位检测。     

The density theorem for discrete series representations restricted to lattices

This article considers the relation between the spanning properties of lattice orbits of discrete series representations and the associated lattice co-volume. The focus is on the density theorem, which provides a trichotomy characterizing the existence of cyclic vectors and separating vectors, and frames and Riesz sequences. We provide an elementary exposition of the density theorem, that is based solely on basic tools from harmonic analysis, representation theory, and frame theory, and put the results into context by means of examples.     

多媒体课件在农村中学体育教学中的运用

利用多媒体技术进行体育教学,使体育教学更直观,更清晰,更具有吸引力,其教学效果是传统的体育教学方式无法相比的,由于农村中学师资及教学条件等方面的局限性,多媒体在体育教学上的运用尚显不足。结合多年的体育教学实践,就农村中学如何利用多媒体技术进行体育教学谈了一些具体做法,并提出了几点建议。     

CAD多媒体教学网络设计

CAD计算机辅助设计技术发展较快，为了适应市场的需要，利用计算机多媒体教学网与CAD的网络功能，加强并提高CAD的教学质量，组建一套CAD多媒体教学网。     

机床热误差建模的组合小样本LKL方法

在辨识机床的热变形模型时，由于所能得到的样本较小且含有测量噪声，因此简单地采用传统的辨识方法效果并不理想。为此本文提出了一种组合样本的ＬＫＬ方法，将多个小样本组成一个大样本进行辨识。实验结果表明，该方法可以明显提高辨识精度。