Recent Advances in Self‐Oscillating Polymer Material Systems

In 1996, we first reported self‐oscillating polymer gels exhibiting autonomous swelling‐deswelling oscillations driven by the Belousov‐Zhabotinsky reaction. In contrast to conventional stimuli‐responsive gels, the self‐oscillating gel can autonomously and periodically change its volume in a closed solution without any external stimuli. Since the first report, the novel concept of self‐oscillating gels has been expanded into various polymer and gel systems. Herein, we summarize recent advances in self‐oscillating polymers and gels.     

Vertical excitation energies for ribose and deoxyribose nucleosides

Vertical excitation energies for DNA and RNA nucleosides are determined with electron structure calculations using the time-dependent density functional theory (TDDFT) method at the B3LYP/6-311++G(d,p) level for nucleoside structures optimized at the same level of theory. The excitation energies and state assignments are verified using B3LYP/aug-cc-pVDZ level calculations. The nature of the first four excited states of the nucleosides are studied and compared with those of isolated bases. The lowest npi* and pipi* transitions in the nucleoside remain localized on the aromatic rings of the base moiety. New low-energy npi* and pisigma* transitions are introduced in the nucleosides as a result of bonding to the ribose and deoxyribose molecules. The effect on the low-lying excited state transitions of the binding to phosphate groups at the 5'- and 3',5'-hydroxyl sites of the uracil ribose nucleoside are also studied. Some implications of these calculations on the de-excitation dynamics of nucleic acids are discussed.     

A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions

In this paper, we consider second order elliptic problems with rapidly oscillating coefficients. On basis of [O.A. Oleinik, A.S. Shamaev, G.A. Yosifian, Mathematical Problems in Elasticity and Homogenization, North-Holland, Amsterdam, 1992; Wen-ming He, Jun-zhi Cui, A pointwise estimate on the 1-order approximation of , IMA J. Appl. Math. 70 (2005) 241-269] we propose a new approximate method to solve these problems. Of course, we present its error estimate.     

A necessary and sufficient condition for the oscillation of solutions of Liénard type system with multiple singular points

In this paper, a necessary and sufficient condition for the solution of Liénard type system with multiple singular points to oscillation under the more general assumption is given. Results of the papers [14] are also extended and improved in this paper.Project supported by Science Foundation of Education Bureau of the Metallurgy Ministry, P. R. China     

蔗糖水解Belousov－Zhabotinskii体系化学振荡现象

自从1972年Field等据丙二酸为底物的Belousov-Zhabotinskii(BZ)反应提出T著名的FKN机理以来,人们发现了许多与生化过程有关的化学振荡体系并应用于临床实践.机体在新陈代谢过程中,糖元的糖酵解反应是以糖类为基础的复杂化学振荡,考虑到代谢过程,糖类分解有许多中间物的振荡.     

非线性振动系统动力学行为的实验研究

本文综述了非线性振动系统动力学行为的实验研究,详细叙述了机械模型实验,实验数据的分析与处理,并对今后发展趋势作了述评．      

圆柱振荡绕流中涡旋运动模式(pattern)的数值模拟

提出并发展的一种基于区域分解思想,综合了解N-S方程的有限差分法及涡法各自优点的新数值方法,计算了各种 Keulegan-Carpenter数下(Kc=2~24)振荡流绕圆柱的流动。系统地研究了振荡流中涡旋运动模式随Kc数变化的规律,模拟了不对称区、单对涡区(或模向区)、双对涡区(或对角区)和三对涡区四种不同的涡旋运动模式。将计算所得的阻力系数C_D、惯性系数C_M与国外近期发表的计算结果进行了比较。     

Investigation of the stability for inviscid compressible swirling flow between concentric cylinders

The temporal stability on inviscid compressible swirling flow between two concentric cylinders is investigated. First, a linearized differential equation is derived. Two stability criteria are derived for compressible swirling flow by an analytic method analogous to Ludwieg ’s method. A finite-difference numerical method is then used to solve the eigenvalue problem of this differential equation, to get temporal growth rate and to check these stabilitv criteria derived. Finally.The effect of compressibility for stability is disscused.     

垂直分割视场制作合成动态全息图

从理论上及实验上分析了利用垂直视场分割法制作合成动态全息图的方法。将二步彩虹全息术中的主全息图Ｈ１分成若干全息单元,在各单元中分别记录了物体一系列连续变化状态的二维图像,利用该主全息图制作像面全息图Ｈ２,从而获得合成动态全息图。该方法用银盐干版记录主全息图Ｈ１,节省了大量的曝光时间。