On the classical lump of Yang-Mills fields

It is shown that for pure Yang-Mills fields there is no lump phenomena if the total energy is infinite and diverges mildly in a certain sense. This improves the well-known classical result on the absence of a lump for the finite total energy case. Some exact lump solutions are obtained showing that the energy condition cannot be removed. The results are valid for more general fields.This work was supported by the Chinese Natural Science Foundation, the Chinese Fund of Doctor Programs, and the University of Paris VI, and University of Bourgogne.     

Sine-Laplace equation,sink - Laplace equation and harmonic maps

The relationship between harmonic maps from R² to S², H², S^T,1, S^1,1(–1) and the ± sinh — Laplace, ± sine — Laplace equation is found respectively. Existence theorems of some boundary value problems for the above harmonic maps are obtained. In the cases of H², S^1,1(+1), S^1,1(–1) the results are global.Research supported partially by the Institute for Applied Mathematics, Sonderforschungsbereich 72 of the University of Bonn     

A THEOREM OF LIOUVlLLEfS TYPE ON HARMONIC MAPS WITH FINITE OR SLOWLY DIVERGENT ENERGY

Some theorems of Liouville''s type on harmonic maps from Euclidean space of conformal flat space with finite or slowly divergent energy have been obtained by the first-named author and H.C.J. Sealey, respectively. In this paper , a more general theorem is proved, which includes their results as special cases. The technique is to use a conservation law for harmonic maps.     

A unified explicit form of Bäcklund transformations for generalized hierarchies of KdV equations

It is proved that the auto-Bäcklund transformations for all generalized KdV equations of any order admit a unified and explicit form. The theorem of permutability is proved in a unified way, too. The coefficients of the whole hierarchies of KdV equations considered are functions oft. The solitons whose speeds depend ont have unified formulas, too. Thus, we obtain vibrating solitons, solitons having infinite collisions, etc.     

几种钢的腐蚀冲蚀磨损行为与机理研究

在相同试验条件下研究了１６Ｍｎ，２７ＳｉＭｎ和１Ｃｒ１８Ｎｉ９不锈钢在浆体（ｐＨ值在１～１２的范围，固体粒子是粒径２２０～４００μｍ的石英砂）冲蚀作用下的腐蚀冲蚀磨损行为，分析了ｐＨ值和冲击速度等对钢腐蚀冲蚀磨损的影响，以及腐蚀与冲蚀之间的交互作用机理，建立了钢的腐蚀冲蚀磨损率与ｐＨ值及冲击速度之间的三维关系图．研究发现：冲击速度对１Ｃｒ１８Ｎｉ９不锈钢腐蚀冲蚀磨损的影响可用指数关系表示，但对其它２种钢，冲击速度的影响不能用简单的数学关系表示；钢的腐蚀冲蚀磨损率随ｐＨ值降低而增加，ｐＨ值越低和／或钢的耐腐蚀性越差，腐蚀与冲蚀的交互作用越大，钢的腐蚀冲蚀磨损越严重．耐腐蚀性较好的钢（如１Ｃｒ１８Ｎｉ９不锈钢）的腐蚀冲蚀磨损机理主要为冲蚀磨损；耐腐蚀性比较差的钢（如１６Ｍｎ钢）除冲蚀磨损外，腐蚀及其与冲蚀磨损的交互作用也都是重要的磨损机理，特别在ｐＨ值比较低时更是如此     

硫酸介质中Pb电极氧化物成长过程的研究

采用实时交流阻抗测量与激光扫描微区光电流技术相结合的现场方法,对铅电极在硫酸溶液中ＰｂＯ和ＰｂＯ＿２的生长过程进行了研究．发现电极在ＰｂＯ的形成区中氧化５ｍｉｎ后,电极欧姆阻抗和ｔ￣（１／２）呈一直线关系,这表明ＰｂＯ是均匀分布在电极表面而成长的．激光扫描微区光电流的实验进一步证实了这一结论．实验中还发现ＰｂＯ＿２在ＰｂＯ层中是局部发生与发展的．     

CONSTRUCTION OF UNITONS VIA PURELY ALGEBRAIC ALGORITHM

1.IntrodnctionHarmonicmapsfromR2(oritssimplyconnectedregion)toU(N)areconsideredextensively.TheconceptionofunitonsareintroducedbyK.Uhlenbeck[7].Thereareaseriesofpapers[2,8,9]devotedtotheconstructionofunitons.Inourpaper[4]theDarbouxtransformationhasbee...     

SVD-Unscented卡尔曼滤波的非线性结构系统识别

提出一种基于奇异值分解的unscented卡尔曼滤波(SVD-UKF)非线性滞回结构系统识别方法.SVD-UKF可被看成改进的unscented卡尔曼滤波(UKF)方法,相对UKF而言,SVD-UKF具有更好的鲁棒性和灵活性.此方法不仅避免象扩展卡尔曼滤波(EKF)为了计算Jacobians矩阵的所需的导数运算,并且可以克服常规UKF方法在计算协方差时经常遇到的病态条件的缺点.对非线性系统参数的识别和突然变化的识别的数值模拟结果显示了所提出方法的鲁棒性和灵活性.     

用异戊二烯的催化调聚反应合成梨圆蚧性信息素组份

梨圆蚧Quadraspidiotus perniciosus是世界性的农业害虫,主要危害苹果、梨树等果树.Gieselmann和Anderson等分离并鉴定出梨圆蚧性信息素为3,7-二甲基-2,7-辛二烯-1-醇丙酸酯(1)和7-甲基-3-亚甲基-7-辛二烯-1-醇丙酸酯(2).1的Z体和E体的比例约为10:1.田间生测发现.1的Z体、E体对雄性蚧虫均有强烈的引诱活性,两者以不同比例混合使用,活性并无明显的降低.     

Modeling and analysis of dynamic characteristics of multi-stable waterbomb origami base

Origami has recently received wide attention, and the study on its dynamic characteristics remains a nascent field. The waterbomb origami is a common subtype of origami, and its base structure is treated as a bi-stable configuration in the literature. The systematical framework for modeling, simulation and dynamic analysis of the vibration for the waterbomb origami base is established in this paper. In the presented model, the motion of the waterbomb origami base is divided into two working patterns according to its geometric characteristic. The nonlinear governing equation of motion of the waterbomb origami base is formulated based on the Lagrange’s equation. The base’s free and forced responses can be calculated by using the fourth-order Runge–Kutta method. The developed model is validated by the results predicted by the simulation in ADAMS. With the developed theoretical framework, the base’s vertical effective stiffness and natural frequency of its linearized system are discussed to reveal their programmability with respect to the base’s structure and design parameters. Remarkably, the bifurcations of its equilibria, including the pitchfork, transcritical and (special) saddle-node bifurcations, are analyzed. Unlike the bi-stable configuration reported in the literature, the mono- and tri-stable configurations can also be realized by the base due to gravity. Furthermore, the complex nonlinear dynamic behaviors, including chaos, are revealed.