Novel delay-distribution-dependent stability analysis for continuous-time recurrent neural networks with stochastic delay

<正>In this paper,the problem of delay-distribution-dependent stability is investigated for continuous-time recurrent neural networks(CRNNs) with stochastic delay.Different from the common assumptions on time delays,it is assumed that the probability distribution of the delay taking values in some intervals is known a priori.By making full use of the information concerning the probability distribution of the delay and by using a tighter bounding technique(the reciprocally convex combination method),less conservative asymptotic mean-square stable sufficient conditions are derived in terms of linear matrix inequalities(LMIs).Two numerical examples show that our results are better than the existing ones.     

Adaptive generalized projective synchronization of two different chaotic systems with unknown parameters

This paper presents a general method of the generalized projective synchronization and the parameter identification between two different chaotic systems with unknown parameters. This approach is based on Lyapunov stability theory, and employs a combination of feedback control and adaptive control. With this method one can achieve the generalized projective synchronization and realize the parameter identifications between almost all chaotic （hyperchaotic） systems with unknown parameters. Numerical simulations results are presented to demonstrate the effectiveness of the method.     

微分方程公式的机器推导(Ⅰ)

本文阐述了微分方程公式推导程序系统的算法,这个系统已经实现,并成功地用于极限环的研究工作.作为一个具体例子和验证,文中给出了右方为二次多项式方程的机器结果,并指出了Н.Н.Баутин所发表结果中的符号错误. 本文是微分方程公式推导研究成果的第一部分.     

Coherent Scattering of Light by Bose-Einstein Condensation in a Tight Confinement

We have observed strong scattering of a probe light by dilute Bose-Einstein condensate （BEC） ^87Rb gas in a tight magnetic trap. The scattering light forms fringes at the image plane. It is found that we can infer the real size of the condensation and the number of the atoms by modelling the imaging system. We present a quantitative calculation of light scattering by the condensed atoms. The calculation shows that the experimental results agree well with the prediction of the generalized diffraction theory, and thus we can directly observe the phase transition of BEC in a tight trap.     

立方非线性Schr?dinger方程的Weierstrass椭圆函数周期解

利用Weierstrass椭圆函数展开法对非线性光学、等离子体物理等许多系统中出现的立方非线性 Schr(o)dinger方程进行了研究.首先通过行波变换将方程化为一个常微分方程,再利用Weierstrass椭圆函数展开法思想将其化为一组超定代数方程组,通过解超定方程组,求得了含Weierstrass椭圆函数的周期解,以及对应的Jacobi椭圆函数解和极限情况下退化的孤波解.该方法有以下两个特点:一是可以借助数学软件Mathematica自动地完成;二是可以用于求解其它的非线性演化方程(方程组).     

Resorcinarenes的合成及其边缘化学修饰(Ⅱ)

探讨了烷基醛类（丁醛、戊醛、异丁醛）的Ｒｅｓｏｒｃｉｎａｒｅｎｅｓ的合成及其边缘化学修饰（乙酰化、甲基化），研究了烷基取代基对合成的影响，并用ＩＲ，＾１ＨＮＭＲ，ＭＳ和ＵＶ对这些化合物进行了表征。     

数学教学改革与初等数学现代化中的几个问题

小平同志提出的“教育要面向现代化、面向世界、面向未来”的方针,是我国进行教育数学改革的指导思想。而改革的内容,则主要涉及三个方面:教育体制、教学内容和教学方法,本文试图从一个侧面谈谈数学教学改革和初等数学现代化的问题,也就是如何用现代数学的科学观点去认识、处理初等数学的问题。一.中学数学的双重逻辑结构问题 1.如所周知,数学公理化其完美、奥妙者当首推平面几何,它始自欧几里得而基本上完成于希尔伯特。整个平面几何学象一座辉煌大厦,在少数公理的根基上逻辑地构筑起来,形成了初等几何体系,其思想也逐渐渗透并贯串了代数、三角等学科,这就形成了直到今天我们还在使用的中学数学教材的基本结构,也形成了几百年来人们进行数学思维的三段论式的推理模式。我们的数学教学大纲中所规定的关于能力培     

Adaptive synchronization of a class of fractional-order complex-valued chaotic neural network with time-delay

This paper is concerned with the adaptive synchronization of fractional-order complex-valued chaotic neural networks (FOCVCNNs) with time-delay. The chaotic behaviors of a class of fractional-order complex-valued neural network are investigated. Meanwhile, based on the complex-valued inequalities of fractional-order derivatives and the stability theory of fractional-order complex-valued systems, a new adaptive controller and new complex-valued update laws are proposed to construct a synchronization control model for fractional-order complex-valued chaotic neural networks. Finally, the numerical simulation results are presented to illustrate the effectiveness of the developed synchronization scheme.     

浅析量子混沌教学

介绍了量子力学中量子混沌教学的重要内容和特点,这对帮助学生理解量子力学理论是非常重要的,同时也有利于培养学生的创新能力.     

AlN靶材射频磁控溅射制备AlN薄膜及性质研究

以AlN作为靶材,使用射频磁控溅射法在Si（100）和玻璃衬底上,在纯氮气气氛条件下制备得到AlN薄膜,并研究了衬底温度对溥膜的结构,形貌和性质的影响．实验表明,衬底温度为370℃的条件下制备的AlN溥膜具有C轴择优取向,薄膜表面均匀、致密和平整,均方根粗糙度为4．83nm．随着基片温度的增加,溥膜的折射率增加,对应着薄膜从非晶态到晶态过程的演变．