Exact Solutions of the φ^6 ＋ φ^5 Model Using Truncated Method

In this letter, the φ^6 ＋ φ^5 model in （D ＋ 1） dimensions can be solved by a truncated series method. A series of solitary solutions of the φ^6 ＋ φ^5 model in （D ＋ 1） dimensions have be obtained.     

Multifractal analysis of the Yellow River flows

This paper deals with time series of the Yellow River daily flows at Tongguan hydrological station, from the year 2000 to 2005. Power spectrum analysis and statistical moment scaling function on a range of scales revealed scaling qualities of the data. The partition function, which displayed a convex curvature, and the generalized dimension function showed that multifractality is presented. The singularity spectrum, which is single-humped, has shown strong multifractality degree.     

LaMg_(11)Zr+Ni合金电极电化学性能研究

以LaMg11Zr为母体合金,由机械合金化方法制备LaMg11Zr+200%N i合金,用X射线衍射(XRD)测定球磨时间对非晶相化的影响,20 h合金即可达到完全非晶态化,合金电极化学性能和循环寿命最好.     

苯系物扩散管气体标准物质的研制

按照ISO 6145—2003、ISO 6144—1998标准,研制了新型气体标准物质动态配气装置,实现了微机对动态配气装置主要参数数据的实时监控。用该装置研制了氮中微量苯系物扩散管气体标准物质,量值的相对扩展不确定度为2％-3％,并与静态容量法配气进行了比较。     

输流粘弹性曲管的稳定性分析

根据变质量弹性系统Hamilton原理,用变分法建立了输流粘弹性曲管的运动微分方程,并用归一化幂级数法导出了输流粘弹性曲管的复特征方程组．以两端固支Kelvin-Voigt模型粘弹性输流圆管为例,分析了无量纲延滞时间和质量比对输流管道无量纲复频率和无量纲流速之间的变化关系的影响．在无量纲延滞时间较大时,粘弹性输流圆管的特点是它的第1、2、3阶模态不再耦合,而是在第1、第2阶上先发散失稳,然后在1阶模态上再发生单一模态颤振．     

矩形截面梁中波传播的精确分析

将傅立叶级数方法推广应用于矩形截面梁中波传播的精确分析．不仅试着直接从三维弹性动力学方程出发,导出了矩形截面梁中波传播的一般解析解,而且给出了弹性波在自由矩形截面梁中的传播特性．波传播精确模型的提出,为实现梁波的耦合控制奠定了坚实基础．     

铅原子奇宇称Rydberg系列寿命的研究

在多通道量子数亏损理论(MQDT)的基础上,利用已给出的用MQDT波函数统一计算高激发态寿命的方法,计算并预言了J=1奇宇称两个Rydberg系列的寿命,在利用MQDT计算时,确定了6p6d3/2[3/2]₁⁰的能级位置.     

钒酸盐系列激光晶体制备和性能研究

用提拉法生长了Nd∶YVO4, Nd∶GdVO4,Nd∶GdxLa1-xVO4(x=0.8, 0.6, 0.45)系列晶体,对影响晶体质量的因素进行了分析,测量了几种晶体的结构和晶胞常数;测量了Nd∶YVO4, Nd∶GdVO4, Nd∶Gd0.8La0.2VO4和Nd∶Gd0.6La0.4VO4晶体的室温吸收谱和荧光谱,用LD泵浦Nd∶YVO4, Nd∶GdVO4, Nd∶Gd0.8La0.2VO4晶体,实现了1.06μm和1.34μm的激光输出.     

On a generalized taylor theorem: A rational proof of the validity of the homotopy analysis method

IntroductionIn 1 7thcenturyIsaacNewton[1]gavesuchabinomialexpressionforfractionalandnegativeexponents(1 +t) α,i.e.,(1 +t) α =1 + +∞k=1α(α-1 ) (α-2 )… (α -k+ 1 )k !tk　　 (α≠ 0 ,1 ,2 ,… ) ,(1 )whoseconvergenceradiusisone.Furthermore ,theclassicalTaylorseries (seeRef.[2 ] )limm→+∞ mk=0f(k) (z0 )k !(z-z0 ) k (2 )ofacomplexfunctionf(z)atz=z0 isvalidmostlyinarestrictedconvergenceregion｜z-z0 ｜相似文献   

Nonlinear Time Series Forecast Using Radial Basis Function Neural Networks

In the research of using Radial Basis Function Neural Network (RBF NN) forecasting nonlinear time series, we investigate how the different clusterings affect the process of learning and forecasting. We find that k-means clustering is very suitable. In order to increase the precision we introduce a nonlinear feedback term to escape from the local minima of energy, then we use the model to forecast the nonlinear time series which are produced by Mackey-Glass equation and stocks. By selecting the k-means clustering and the suitable feedback term, much better forecasting results are obtained.