一类差分方程性质的研究(英文)

This paper is concerned with the following rational difference equation xn+1=axn-bxn-1+ex2n/(cXn+dxn-1), with the initial conditions x-1 , x0 ∈ (0, +∞) and a, b, c, d, e ∈ R+ . Locally asymptotically stability, global attractively and boundedness character of the equilibrium point of the equation are investigated. Moreover, simulation is shown to support the results.     

一种基于纳米级CMOS工艺的互连线串扰RLC解析模型

基于纳米级CMOS工艺,综合考虑电容耦合与电感耦合效应,提出了分布式RLC耦合互连解析模型.采用函数逼近理论与降阶技术,在斜阶跃输入信号下提出了受扰线远端的数值表达式. 基于90和65 nm CMOS工艺,对不同的互连耦合尺寸下的分布式RLC串扰解析模型和Hspice仿真结果进行了比较,误差绝对值都在4%内,能应用于纳米级片上系统(SOC)的电子设计自动化(EDA)设计和集成电路优化设计.     

Functional Ag porous films prepared by electrospinning

Face-centered cubic Ag porous films have been prepared directly from the heat treatment of AgNO₃-doped poly(vinyl alcohol) (PVA) electrospun nanofibers. Using Rhodamine B (RB) as the probing molecule, the surface-enhanced Raman scattering (SERS) effect of Ag porous films was demonstrated. The antibacterial activity of Ag porous films was also studied in this work. The propagation and biological activity of yeast cells were effectively inhibited by Ag porous films. These functional Ag porous films were expected to be applied in many fields, such as catalysis, diagnostics, sensors and antibacterial, etc.     

扩展的Sinh—Gordon方程展开法与Kaup—Kupershmidt方程的Jacobi椭圆函数解

利用扩展的Sinh—Gordon方程展开法研究了Kaup—Kupershmidt方程的Jacobi椭圆函数解,此方法也适用于求解其他非线性演化方程,从而丰富了方程解的范围．     

Density functional calculations for Rh(I)‐catalyzed C–C bond activation of siloxyvinylcyclopropanes and diazoesters

Density functional theory was employed to investigate rhodium(I)‐catalyzed C–C bond activation of siloxyvinylcyclopropanes and diazoesters. The B3LYP/6‐31G(d,p) level (LANL2DZ(f) for Rh) was used to optimize completely all intermediates and transition states. The computational results revealed that the most favorable pathway was the channel forming the methyl‐branched acyclic product p1 in path A (cyclooctadiene (cod) as the ligand), and the oxidative addition was the rate‐determining step for this channel. It proceeded mainly through the complexation of diazoester to rhodium, rhodium–carbene formation, coordination of siloxyvinylcyclopropane, oxidative addition (C2–C3 bond cleavage) of siloxyvinylcyclopropane, carbene migratory insertion, β‐hydrogen elimination and reductive elimination. The complexation of diazoester to rhodium occurred prior to the coordination of siloxyvinylcyclopropane. Also, the role of the ligands cod, chlorine and 1,4‐dioxane, the effect of di‐rhodium catalyst and the solvent effect are discussed in detail.     

Analysis of phenolic acids and flavonoids in leaves of Lycium barbarum from different habitats by ultra‐high‐performance liquid chromatography coupled with triple quadrupole tandem mass spectrometry

The leaves of Lycium barbarum (LLB) have been utilized as crude drugs and functional tea for human health in China and Southeast Asia for thousands of years. To control its quality, a rapid and sensitive ultra‐high‐performance liquid chromatography coupled with triple quadrupole tandem mass spectrometry method was established and validated for the first time for simultaneous determination of 10 phenolic acids and flavonoids (including neochlorogenic acid , protocatechuic aldehyde, p‐hydroxybenzoic acid, chlorogenic acid, cryptochlorogenic acid, caffeic acid, p‐coumaric acid, ferulic acid, rutin and kaempferol‐3‐O‐rutinoside) in LLB. The separation was performed on an Acquity UPLC C₁₈ chromatographic column (100 × 2.1 mm internal diameter, 1.7 μm particle size) with 0.1% formic acid in water (A)–acetonitrile (B) as the mobile phase under gradient elution. Multiple reaction monitoring mode was adopted to simultaneously monitor the target components. The developed method was fully validated in terms of linearity (r² ≥ 0.9860), precision (RSD ≤ 6.58%), repeatability (RSD ≤ 6.60%), stability (RSD ≤ 6.17%), recovery (95.56–108.06%, RSD ≤ 4.64%) and limit of detection (0.021–0.664 ng/mL) and limit of quantitation (0.069–2.210 ng/mL), and then successfully applied to evaluate the quality of 64 batches of LLB collected from 41 producing areas in four different provinces of China. The results showed that the LLB, especially collected from Inner Mongolia regions, were rich in the phenolic acids and flavonoids. Rutin, kaempferol‐3‐O‐rutinoside and chlorogenic acid are the predominant compounds contained in LLB. The above findings will provide helpful information for the effective utilization of LLB.     

Structure elucidation and NMR assignment of two new eudesmane derivatives from Merremia yunnanensis

Two new eudesmane derivatives, 1α,6β,9β-trihydroxy-eudesm-3-ene-1-O-β-d -glucopyranoside ( 1 ) and 1α,6β,9β-trihydroxy-eudesm-3-ene-1-(6-cinnamoyl)-O-β-d -glucopyranoside ( 2 ) were discovered from Merremia yunnanensis. The structures were elucidated by analysis of their spectroscopic data including HR-ESI-MS, 1D, and 2D NMR. It should be noted that this is the first report about structure elucidation and NMR assignment of compounds from M. yunnanensis.     

塔里木盆地奥陶系碳酸盐岩热液蚀变类型及蚀变流体的分带特征

已探明塔里木盆地下古生界碳酸盐岩地层储量巨大。对塔里木盆地西北部柯坪-巴楚-阿图什一带的4块区域开展了系统的野外和重点观测工作,包括蓬莱坝剖面、柯坪水泥厂剖面、托普郎剖面等。本研究通过考察塔里木盆地奥陶系碳酸盐岩热液溶蚀及相关现象。从野外产状、伴生关系以及矿物岩石学特征角度解剖奥陶系地层中热液矿物组合的地质特征。研究表明,该区域存在富镁流体、富氟流体和富硫流体3种流体,分别来源于封存卤水、火成活动和TSR热液。不同性质流体蚀变具有相似的分带性。     

A new tigliane-type diterpene from Euphorbia dracunculoides Lam

One new tigliane-type diterpene, 4-deoxy-4(β)H-8-hydroperoxyphorbol-12-benzoate-13-isobutyrate (1), together with two known diterpenoids, 3-acetyl-5,8-dibenzoyl-14α-propanoyl-13,17-epoxy-7-myrsinaone diterpene with C9–C10 cyclised to form an additional lactone ring (2), Euphodendriane A (3) have been isolated from the whole plants of Euphorbia dracunculoides Lam. Their structures were elucidated by means of extensive spectroscopic analysis (NMR and HR-ESI-MS) and comparison with data reported in the literature. This is the first isolation of 8-hydroperoxy tigliane diterpene (1) from the genus of Euphorbia. All compounds were evaluated for their antifungal activities.     

Structures and stability of N9, N9 − and N9 + clusters

 Ab initio molecular orbital calculations for N₉, N⁻ ₉ and N⁺ ₉ isomers were carried out at the HF/ 6-31G*, B3PW91/6-31G*, B3LYP/6-31G* and MP2/ 6-31G* levels of theory. Stable equilibrium geometric structures were determined by harmonic vibrational frequency analyses at the HF/6-31G*, B3PW91/6-31G* and B3LYP/6-31G* levels of theory. The most stable free-radical N₉ cluster is structure 1 with C _{2 v} symmetry and that of anion N⁻ ₉ is structure 3 with C _s symmetry. Only one stable structure of the N⁺ ₉ cation with C _{2 v} symmetry was predicted. Their potential application as high-energy-density materials has been examined. Received: 15 June 1999 / Accepted: 11 October 1999 / Published online: 14 March 2000