Adaptive Feedback Stabilization with Quantized State Measurements for a Class of Chaotic Systems

We investigate asymptotical stabilization for a class of chaotic systems by means of quantization measurements of states. The quantizer adopted in this paper takes finite many values. In particular, one zoomer is placed at the input terminal of the quantizer, and another zoomer is located at the output terminal of the quantizer. The zoomers possess a common adjustable time-varying parameter. By using the adaptive laws for the time-varying parameter and estimating boundary error of values of quantization, the stabilization feedback controller with the quantized state measurements is proposed for a class of chaotic systems. Finally, some numerical examples are given to demonstrate the validity of the proposed methods.     

含有咪唑生色团系列树型有机分子二阶非线性光学性质的密度泛函理论研究

应用密度泛函理论(DFT)B3LYP/6-31G*方法计算研究了系列树型含有咪唑生色团的有机分子的结构和非线性光学性质.计算结果表明:该系列分子具有A- -D- -A(A:受体,D:给体)结构,分子基态的偶极矩、极化率、二阶NLO系数( )随共轭链的增长及吸电子基的增强而增大;同时,前线轨道能级差值越小此类分子的二阶极化率总有效值( )越大.计算的吸收光谱显示此系列树型分子在低能区域247.79nm-419.87nm都有一个最强吸收,并且均是最高占据轨道与最低空轨道之间的跃迁.     

New Exact Solutions and Evolution of Solitons in Background Waves for (2+1)-Dimensional Modified Dispersive Water-Wave System

With the help of the conditional similarity reduction method, some new exact solutions of the (2+1)-dimensional modified dispersive water-wave system (MDWW) are obtained. Based on the derived solution, we investigate the evolution of solitons in the background waves.     

Excited State Properties of Fluorine-Substituted Hexabenzocoronene： A Quantum-Chemical Characterization

The first fluorine-substituted hexabenzocoronene has been synthesized and its electronic structure and optical properties have been reported [Q. Zhang, et al., Org. Lett. 7 （2005） 5019]. In this letter, the electronic structure and excited state properties of the fluorine-substituted hexabenzocoronene are studied with quantum chemistry method as well as the transition and the charge difference densities. The transition densities show the orientations and strength of the dipole moments and the charge difference densities reveal the orientation and results of the intramolecular charge transfer. The calculated transition energies and oscillator strengths are consistent with the experimental data, and the theoretical results of transition and charge difference densities are valuable to understanding the excited state properties of the fluorine-substituted hexabenzocoronene.     

Topological Structure of Vortex Solution in Jackiw-Pi Model

By using φ-mapping method, we discuss the topological structure of the self-duality solution in Jackiw-Pi model in terms of gauge potential decomposition. We set up relationship between Chern-Simons vortex solution and topological number, which is determined by Hopf index and Brouwer degree. We also give the quantization of flux in this case. Then, we study the angular momentum of the vortex, which can be expressed in terms of the flux.     

Duffing振子微弱信号检测方法研究

在前期实验工作的基础上,从理论分析的角度,提出了利用Duffing振子从大周期态向混沌态的相变 作为判据的微弱周期信号检测方法,给出了检测原理,并论证了其可行性;从过渡带影响和检测概率两方面 将该方法与传统的检测方法进行了比较分析,并对两者的检测性能进行了仿真对比.分析和仿真结果都显示,相同条件下, Duffing振子从大周期态向混沌态的相变受过渡带影响更小,所提方法具有更好的检测性能. 实验数据还表明, Duffing振子检测微弱信号只能基于单向相变, 利用阵发混沌进行频差检测只适用于待测信号信噪比较高的情况. 关键词： Duffing 混沌 检测 过渡带     

超声法提取余甘树皮中单宁的研究

本文研究了以水替代有机溶剂作为提取剂，利用超声技术提取余甘树皮中单宁的最佳条件。研究结果表明：当超声频率为40kHz，功率为100W，作用时间为15-20min，固液比为1：24时，可一次性提取得到含量较高的缩合型单宁，同时达到节约有机提取剂和减少污染的双重效果。     

Synthesis of 15-Demethyl Brefeldin A and Its 7-epi Isomer

Synthesis of 15-demethyl brefeldin A and its 7-epimer is detailed. X-ray crystallographic structure for 15-demethyl brefeldin A is also disclosed.     

1,4-双(9-O-奎宁)-2,3-二氮杂萘的合成及其在烯烃不对称二羟基化反应中的应用

通过改进的文献方法制备1,4-双(9-O-奎宁)-2,3-二氮杂萘[(QN)₂PHAL].在碱性条件下,奎宁与1,4-二氯-2,3-二氮杂萘之间的亲核取代反应以72%的化学产率生成(QN)₂PHAL.在4种烯烃的不对称二羟基化反应中,(QN)₂PHAL表现出很高的对映选择性(83%～92%e.e.)和催化活性(产率83%～93%).