Heteroclinic Cycles in a Class of 3-Dimensional Piecewise Affine Systems

This paper explores the existence of heteroclinic cycles and corresponding chaotic dynamics in a class of 3-dimensional two-zone piecewise affine systems. Moreover, the heteroclinic cycles connect two saddle foci and intersect the switching manifold at two points and the switching manifold is composed of two perpendicular planes.

A Note on Sharp Affine Poincaré-Sobolev Inequalities and Exact in Minimization of Zhang’s Energy on Bounded Variation and Exactness

As for the affine energy, Edir Junior and Ferreira Leite establish the existence of minimizers for particular restricted subcritical and critical variational issues on BV(Ω). Similar functionals exhibit deeper weak* topological traits including lower semicontinuity and affine compactness, and their geometry is non-coercive. Our work also proves the result that extremal functions exist for certain affine Poincaré-Sobolev inequalities.

CONFORMALLY FLAT AFFINE HYPERSURFACES WITH SEMI-PARALLEL CUBIC FORM

In this paper,we study locally strongly convex affine hypersurfaces with the vanishing Weyl curvature tensor and semi-parallel cubic form relative to the Levi-Civita connection of the affine metric.As a main result,we classify these hypersurfaces as not being of a flat affine metric.In particular,2 and 3-dimensional locally strongly convex affine hypersurfaces with semi-parallel cubic forms are completely determined.

多体非完全经典态的基于Affinity的关联测度

在量子信息理论中,量子关联是一种极其重要的物理资源。文章首先定义了多体非完全经典态基于Affinity的一种量子关联测度,它可以量化多体非完全经典态的关联程度;接下来证明了该关联测度满足量子关联度的一些必要物理性质,包括非负性、局部酉操作下的不变性、局部量子操作下的单调性、凸性以及连续性。

Strategies for Enhancing the Affinity of College Ideological and Political Course Teachers

This article aims to explore effective ways to enhance the affinity of ideological and political course teachers in universities.By analyzing the connotation of affinity,the factors that affect the affinity of ideological and political course teachers are analyzed,and corresponding improvement strategies are proposed.Research suggests that strengthening the construction of teacher ethics and conduct,improving teaching skills,enhancing emotional engagement,and enhancing practical training are key paths to enhance the affinity of ideological and political course teachers.The implementation of these paths will help improve the teaching quality and effectiveness of ideological and political courses,and promote the comprehensive development of students.

可用于相关亚历山大藻(Alexandrium affine)检测的一个寡核苷酸探针

针对分离自南海的相关亚历山大藻,在进行核糖体大亚基DNA(LSU rDNA)全序列测序及比对的基础上,设计了针对其核糖体大亚基RNA(LSU rRNA)D10区的一个新的荧光素(FITC)标记寡核苷酸探针,并建立了相应的荧光原位杂交检测方法。在GenBank数据库中,BLAST检索的结果显示所设计的探针具有较高的特异性。杂交实验的结果也表明,这条探针对相关亚历山大藻的标记具有特异性,且标记效率可以达到100%,标记信号清晰明亮。本研究结果为相关亚历山大藻的监测及其种群动态研究提供了方法学依据,也为其它微藻特异性探针的设计提供了新的思路。

基于Harris-Affine和SIFT特征匹配的图像自动配准

针对大失配多传感器图像,提出了一种基于SIFT(scale invariant keypoints)和Harris-Affine(H-A)互补不变特征匹配的自动配准算法.算法应用SIFT和H-A两种具有互补特性的局部不变特征,根据最近邻特征点距离与次近邻特征点距离之比确定初始匹配点对,然后利用马氏距离的仿射不变性删除误匹配特征点对,据此求取2幅源图像间的仿射变换参数.使用估计的变换矩阵把待配准图像上的所有点映射到参考图像,并对其进行重采样,实现图像的配准.实验结果表明:该算法能够快速高精度实现大失配图像的自动配准.

基于Harris-Affine的宽基线立体影像LSM匹配方法

针对宽基线影像的高畸变特点,提出基于几何一致性约束的Harris-Affine高精度最小二乘匹配(Least Square Matching,LSM)方法。首先,用Harris-Affine算子在影像高斯多尺度空间中提取仿射不变特征,并根据特征区域灰度矩阵与主梯度方位来实现特征的几何归一化,继而提取特征描述符,接着采用一种由粗到精的特征匹配策略来渐进地获取正确率占优的特征匹配。然后,通过LSM迭代方法来补偿同名像点的定位误差,LSM迭代所需的良好的几何畸变初值由同名特征区域灰度矩阵与主梯度方位求取,而良好的辐射畸变初值通过同名区域像元灰度的最小二乘线性拟合法求取。实验结果表明:该算法鲁棒有效,且实现了亚像素匹配精度。

基于Affine强度的一般Poisson损失动态模型

首先介绍了GPL动态模型,然后引入Affine过程的概念,讨论随机强度是Affine过程时的GPL模型,并进一步讨论了如何求出随机过程的损失密度,从而得出CDO债券的价格.

相关亚历山大藻(Alexandrium affine)(非PSP产毒株)毒理的初步研究

采用生物急性毒性实验的方法,对一株不产PSP毒素的相关亚历山大藻(Alexandrium affine,株AC-1)的毒性及其毒素(AFT)成分进行研究。结果表明,相关亚历山大藻(AC-1)对卤虫、轮虫、糠虾均有毒性效应,其96hLC50分别为:90cells/ml,1500cells/ml,5000cells/ml。相关亚历山大藻(AC-1)各组分:藻液、细胞重悬液、藻细胞培养过滤液、内容物对卤虫存活率均有显著影响,表明AFT毒素可能来源于细胞内,能分泌到细胞培养液中。通过对该藻过滤液的热稳定性、酸碱稳定性、去蛋白组分毒性、分子量范围、极性、多糖组分鉴定,表明AFT毒素为极性较强的多糖类物质,对热和酸碱稳定,其分子量范围为5—50kDa。

Inhibition of Xanthine Oxidase Activity by Gnaphalium Affine Extract

Objective To evaluate the inhibitory effect of Gnaphalium affine extracts on xanthine oxidase(XO) activity in vitro and to analyze the mechanism of this effect. Methods In this in vitro study, Kinetic measurements were performed in 4 different inhibitor concentrations and 5 different xanthine concentrations(60, 100, 200, 300, 400 μmol/L). Dixon and Lineweaver-Burk plot analysis were used to determine Ki values and the inhibition mode for the compounds isolated from Gnaphalium affine extract. Results Four potent xanthine oxidase inhibitors were found in 95% ethanolic(v/v) Gnaphalium affine extract. Among them, the f lavone Eupatilin exhibited the strongest inhibitory effect on XO with a inhibition constant(Ki) of 0.37 μmol/L, lower than the Ki of allopurinol(4.56 mol/L), a known synthetic XO inhibitor. Apigenin(Ki of 0.56 μmol/L, a proportion of 0.0053‰ in Gnaphalium affine), luteolin(Ki of 2.63 μmol/L, 0.0032‰ in Gnaphalium affine) and 5-hydroxy-6,7,3',4'-tetramethoxyflavone(Ki of 3.15 μmol/L, 0.0043‰ in Gnaphalium affine) also contributed to the inhibitory effect of Gnaphalium affine extract on XO activity. Conclusions These results suggest that the use of Gnaphalium affine in the treatment of gout could be attributed to its inhibitory effect on XO. This study provides a rational basis for the traditional use of Gnaphalium affine against gout.

A Correntropy-based Affine Iterative Closest Point Algorithm for Robust Point Set Registration

The iterative closest point(ICP)algorithm has the advantages of high accuracy and fast speed for point set registration,but it performs poorly when the point set has a large number of noisy outliers.To solve this problem,we propose a new affine registration algorithm based on correntropy which works well in the affine registration of point sets with outliers.Firstly,we substitute the traditional measure of least squares with a maximum correntropy criterion to build a new registration model,which can avoid the influence of outliers.To maximize the objective function,we then propose a robust affine ICP algorithm.At each iteration of this new algorithm,we set up the index mapping of two point sets according to the known transformation,and then compute the closed-form solution of the new transformation according to the known index mapping.Similar to the traditional ICP algorithm,our algorithm converges to a local maximum monotonously for any given initial value.Finally,the robustness and high efficiency of affine ICP algorithm based on correntropy are demonstrated by 2D and 3D point set registration experiments.

Constrained sliding mode control of nonlinear fractional order input affine systems

Asymptotic stability of nonlinear fractional order affine systems with bounded inputs is dealt.The main contribution is to design a new bounded fractional order chattering free sliding mode controller in which the system states converge to the sliding surface at a determined finite time.To eliminate the chattering in the sliding mode and make the input controller bounded,hyperbolic tangent is used for designing the proposed fractional order sliding surface.Finally,the stability of the closed loop system using this bounded sliding mode controller is guaranteed by Lyapunov theory.A comparison with the integer order case is then presented and fractional order nonlinear polynomial systems are also studied as the special case.Finally,simulation results are provided to show the effectiveness of the designed controller.

Image-Moment Based Affine Invariant Watermarking Scheme Utilizing Neural Networks

A new image watermarking scheme is proposed to resist rotation, scaling and translation (RST) attacks. Six combined low order image moments are utilized to represent image information on rotation, scaling and translation. Affine transform parameters are registered by feedforward neural networks. Watermark is adaptively embedded in discrete wavelet transform (DWT) domain while watermark extraction is carried out without original image after attacked watermarked image has been synchronized by making inverse transform through parameters learned by neural networks. Experimental results show that the proposed scheme can effectively register affine transform parameters, embed watermark more robustly and resist geometric attacks as well as JPEG2000 compression.

Using Affine Quantization to Analyze Non-Renormalizable Scalar Fields and the Quantization of Einstein’s Gravity

Affine quantization is a parallel procedure to canonical quantization, which is ideally suited to deal with non-renormalizable scalar models as well as quantum gravity. The basic applications of this approach lead to the common goals of any quantization, such as Schroedinger’s representation and Schroedinger’s equation. Careful attention is paid toward seeking favored classical variables, which are those that should be promoted to the principal quantum operators. This effort leads toward classical variables that have a constant positive, zero, or negative curvature, which typically characterize such favored variables. This focus leans heavily toward affine variables with a constant negative curvature, which leads to a surprisingly accommodating analysis of non-renormalizable scalar models as well as Einstein’s general relativity.

High-frequency acoustic backscattering characteristics for acoustic detection of the red tide species Akashiwo sanguinea and Alexandrium affine

Harmful algal blooms (HABs), caused by the overgrowth of certain phytoplankton species, have negative effects on marine environments and coastal fisheries. In addition to cell-counting methods using phytoplankton nets, a hydroacoustic technique based on acoustic backscattering has been proposed for the detection of phytoplankton blooms. However, little is known of the acoustic properties of HAB species. In this study, as essential data to support this technique, we measured the acoustic properties of two HAB species, Akashiwo sanguinea and Alexandrium affine, which occur in the South Sea off the coast of Korea. Due to the small size of the target, we used ultrasound for the measurements. Experiments were conducted under laboratory and field conditions. In the laboratory experiment, the acoustic signal received from each species was directly proportional to the cell abundance. We derived a relationship between the cell abundance and acoustic signal received for each species. The measured signals were compared to predictions of a fluid sphere scattering model. When A. sanguinea blooms appeared at an abundance greater than 3 500 cells/mL, the acoustic signals varied with cell abundance, showing a good correlation. These results confirm that acoustic measurements can be used to detect HAB species.

The Line Clipping Algorithm Basing on Affine Transformation

A new algorithm for clipping line segments by a rectangular window on rectangular coordinate system is presented in this paper. The algorithm is very different to the other line clipping algorithms. For the line segments that cannot be identified as completely inside or outside the window by simple testings, this algorithm applies affine transformations (the shearing transformations) to the line segments and the window, and changes the slopes of the line segments and the shape of the window. Thus, it is clear for the line segment to be outside or inside of the window. If the line segments intersect the window, the algorithm immediately (no solving equations) gets the intersection points. Having applied the inverse transformations to the intersection points, the algorithm has the final results. The algorithm is successful to avoid the complex classifications and computations. Besides, the algorithm is effective to simplify the processes of finding the intersection points. Comparing to some classical algorithms, the algorithm of this paper is faster for clipping line segments and more efficient for calculations.

An Integrating Algorithm and Theoretical Analysis for Fully Rheonomous Affine Constraints: Completely Integrable Case

This paper develops an integrating algorithm for fully rheonomous affine constraints and gives theoretical analysis of the algorithm for the completely integrable case. First, some preliminaries on the fully rheonomous affine constraints are shown. Next, an integrating algorithm that calculates independent first integrals is derived. In addition, the existence of an inverse function utilized in the algorithm is investigated. Then, an example is shown in order to evaluate the effectiveness of the proposed method. By using the proposed integrating algorithm, we can easily calculate independent first integrals for given constraints, and hence it can be utilized for various research fields.

Zonotope parameter identification for piecewise affine systems

The problem of how to identify the piecewise affine system is studied in this paper, where this considered piecewise affine system is a special nonlinear system. The reason why it is not easy to identify this piecewise affine system is that each separated region and each unknown parameter vector are all needed to be determined simultaneously. Then, firstly, in order to achieve the identification goal, a multi-class classification process is proposed to determine each separated region. As the proposed multi-class classification process is the same with the classical data clustering strategy, the multi-class classification process can combine the first order algorithm of convex optimization, while achieving the goal of the classification process. Secondly, a zonotope parameter identification algorithm is used to construct a set, which contains the unknown parameter vector. In this zonotope parameter identification algorithm, the strict probabilistic description about the external noise is relaxed, and each unknown parameter vector is also identified. Furthermore, this constructed set is consistent with the measured output and the given bound corresponding to the noise. Thirdly, a sufficient condition about guaranteeing our derived zonotope not growing unbounded with iterations is formulated as an explicit linear matrix inequality. Finally, the effectiveness of this zonotope parameter identification algorithm is proven through a simulation example.

基于affine类时频分析的旋回性薄互层时频特征影响因素分析

affine类时频分析方法具有模糊瞬时频谱变化细节,突出主要频率变化趋势的特点,具有较好的旋回判别能力,因而被学者用于旋回性薄互层类型判别当中,研究发现,旋回性薄互层时域波形均有向薄层方向波形密集,厚层方向波形稀疏的特点,但其稳定性差,易受外界干扰影响。由仿射类时频分布得到的时频谱与沉积旋回模式具有一一对应关系,不同模式旋回薄互层均有向层厚减薄方向的升频特点,目前关于旋回性薄互层时频特征影响因素的研究很少,厘清这些因素对旋回判断准则的影响有重要的意义。基于以上考虑,本文以正旋回模型为基础,从小层厚度突变、波阻抗大小、噪声影响、地震资料主频大小、地层黏性吸收作用等5个方面对旋回判别的影响进行了探讨。首先根据波动理论,利用深度域相移法对不同影响因素条件的旋回性薄互层进行正演模拟,分别抽取零偏移距道集进行仿射类时频分析,对比理想情况的旋回性薄互层时频特征差异。结果表明:仿射类时频分布判别沉积旋回抗噪能力强,受薄互层中小层厚度轻微突变的影响小;波阻抗的变化主要影响时频谱时间方向能量分布,对频率方向能量分布影响甚微;地震资料主频变化对时频特征的影响较小,随着地震资料主频的增加,旋回的趋势更加明显;地层黏性吸收作用对该方法判别的准确度影响也较小,时频特征稳定。