Study of a high-dimensional chaotic attractor

The nature of a very high-dimensional chaotic attractor in an infinite-dimensional phase space is examined for the purpose of studying the relationships between the physical processes occurring in the real space and the characteristics of high-dimensional attractor in the phase space. We introduce two complementary bases from which the attractor is observed, one the Lyapunov basis composed of the Lyapunov vectors and the another the Fourier basis composed of the Fourier modes. We introduce the exterior subspaces on the basis of the Lyapunov vectors and observe the chaotic motion projected onto these exteriors. It is shown that a certain statistical property of the projected motion changes markedly as the exterior subspace goes out of the attractor. The origin of such a phenomenon is attributed to more fundamental features of our attractor, which become manifest when the attractor is observed from the Lyapunov basis. A counterpart of the phenomenon can be observed also on the Fourier basis because there is a statistical one-to-one correspondence between the Lyapunov vectors and the Fourier modes. In particular, a statistical property of the high-pass filtered time series reflects clearly the difference between the interior and the exterior of the attractor.     

烯烃氢甲酰化催化剂活性物种的原位~1H NMR研究

有机磷配位铐或钴联基配合物是生产难或醇的工业催化剂，一般公认金属氢化物是反应的催化活性物种．通常反应活性物种仅存在干反应状态下，其结构表征非常困难，在许多研究中只能关联催化剂母体与其活性的关系［‘1；而未能揭示出催化的本质，给催化剂设计造成很大困难，因而对催化剂活性物种的直接表征受到普遍关注．B。wn问、Morrista］及本文作者研究组＊均采用加压原位红外光谱方法，在烯烃氢甲酸化反应条件下捕捉到HCO（CO）3L存在的信息·但用相同方法在反应条件下，在RhH键特征吸收谱带195O－2200Cm‘内未观测到错氢化物的Rh－…     

Filter Diagonalization with Finite Fourier Transform Eigenfunctions

Below, we briefly report on the progress in the development of the Filter Diagonalization technique when filtering is carried out with the aid of Finite Fourier Transform (FFT) eigenfunctions. During recent years interest in these functions, also known as ‘prolates’, or ‘slepians’, has increased among scientists doing research in the field of signal processing. The main explanation to this follows from the set of very special extremal and orthogonality properties exibited by the FFT eigenfunctions. Recent results of Walter and Shen on sampling with prolate spheroidal functions will necessary produce a new wave of interest. In the presented, Filter diagonalization machinery, we show that the sampling formula of Walter and Shen simplifies essentially the computation of matrix elements as certain 2D–integrals involving FFT eigenfunctions.     

Controlled synthesis of poly(acetone oxime acrylate) as a new reactive polymer: Stimuli-responsive reactive copolymers

Acetone oxime acrylate has been synthesized as a new active ester monomer. Free radical polymerization yielded a reactive polymer soluble in various organic solvents, such as chloroform, dioxane, DMSO, acetone, methanol, dichloromethane, DMF, and ethanol. Controlled radical polymerization of acetone oxime acrylate was successfully conducted using the RAFT, NMP and Iniferter method. Partly polymer analogous reaction with N-isopropylamine resulted in the reactive copolymer poly(N-isopropylacrylamide-co-acetone oxime acrylate), which featured a lower critical solution temperature (LCST) of 61 °C in water. Further, the reactivity of the copolymer was exemplary proven by complete reaction with ammonia yielding poly(N-isopropylacrylamide-co-acrylamide), which does not possess a LCST.     

集成滤波器在谱图信号除噪中的应用

本文提出了一种由神经元网络与线性自适应滤波器组成的集成滤波器的实现方法，用于谱图信号除噪处理。     

Resolution method for overlapping peaks based on the fractional-order differential

Equations between the differential order and the maximum of the fractional-order differential for the specified peak signals are developed based on the variation of the maximum of the specified peak signals at different orders. Also, equations between the differential order and the zero-crossing of the fractional-order differential of the specified peak signals are proposed according to the variation of the zero-crossing of the specified peak signals at different orders. Characteristic paramters of the Gaus- sian peak, Lorentzian peak, and Tsallis peak can be estimated using estimator I and estimator II which are obtained by the equations above. As a result, a new method is presented to resolve the overlapped peaks signal. Firstly, a fractional-order differential of the specified peak signals is obtained with the fractional-order differentiation filter. Then, characteristic paramters of the specified peak signals can be extracted using estimator I and estimator II. Finally, the Tsallis peak is used as a model to assign the overlapping peak signals correctly. Experimental results show that the proposed method is efficient and effective for the simulated overlapping peaks and detected overlapping voltammetric peak signals.     

Neue acetonylsubstituierte Azole I. 5-Acetonyl-1,2,4-oxadiazole

Aliphatic amidoximesR—C (NH₂)=NOH react with diketene to yield 5-acetonyl-3-alkyl-1,2,4-oxadiazoles, which are susceptible to a wide variety of reactions at the keto-group as well as at the methylene-group. Their transformations into 1-methyl-2-oxadiazolyl-vinylN,N-dimethylcarbamates, 2-chloro-1-oxadiazolylpropenes, 1-oxadiazolyl-2-(1,2,4-triazol-1-yl)propenes, 1,1-dichloro-1-oxadiazolylacetones and 3-hydroxy-2-oxadiazolyl-crotonic amides are described as well as their reactions with diazonium salts, with sodium nitrite and with carbon disulfide. Further products obtained are carbamates of of 1-oxadiazolyl-2-oxo-propane-1-oximes, 2-chloro-2-oxadiazolylvinyl phosphates and an oxadiazolyl pyrimidine.

Herrn Prof. Dr.Klaus Weissermel zu seinem 60. Geburtstag.     

Simultaneous measurement of glucose and glutamine in aqueous solutions by near infrared spectroscopy

A method is described for measuring the concentrations of both glucose and glutamine in binary mixtures from near infrared (NIR) absorption spectra. Spectra are collected over the range from 5000–4000/cm (2.0–2.5μm) with a 1-mm optical path length. Glucose absorbance features at 4710, 4400, and 4300/cm and glutamine features at 4700, 4580, and 4390/cm provide the analytical information required for the measurement. Multivariate calibration models are generated by using partial least squares (PLS) regression alone and PLS regression combined with a preprocessing digital Fourier filtering step. The ideal number of PLS factors and spectral range are identified separately for each analyte. In addition, the optimum Fourier filter parameters are established for both compounds. The best overall analytical performance is obtained by combining Fourier filtering and PLS regression. Glucose measurements are established over the concentration range from 1.66–59.91 mM, with a standard error of prediction (SEP) of 0.32 mM and a mean percent error of 1.84%. Glutamine can be measured over the concentration range from 1.10–30.65 mM with a SEP of 0.75 mM and a mean percent error of 6.67%. These results demonstrate the analytical utility of NIR spectroscopy for monitoring glucose and glutamine levels in mammalian and insect cell cultures.     

Histidine in enzyme active centers.

The presence of histidine in the active center of an enzyme can be demonstrated by kinetic measurements, chemical modification, NMR spectroscopy or X-ray structure analysis. Histidine is the only naturally occurring amino acid to contain an imidazole residue as a side chain. The role of histidine in enzyme catalysis depends, inter alia, upon the special features of the imidazole residue: it thus tends to form hydrogen bonds, combines donor and acceptor properties and can take part in either nucleophilic or base catalysis. In some of these enzymes the position of each atom is known; however, the theories as to how the catalysis proceeds at a molecular level are controversial.     

水中痕量钼(Ⅵ)的4-(2-吡啶偶氮)-间苯二酚螯合活性炭吸附富集分光光度法测定

提出了一种简单快速预富集水中痕量钼（Ⅵ）的新方法，方法的机理在于4－（2－吡啶偶氮）－间苯二酚（PAR）与钼（Ⅵ）螯合后被活性炭中附，然后用NaOH解吸下来，再用水杨基荧光酮与钼（Ⅵ）显色，分光光度法测定钼（Ⅵ）的含量；详细研究了影响Mo-PAR螯合物定量吸附于活性炭上的各种参数，找出了最佳吸附－解吸条件，包括吸附酸度、PAR用量、吸附时间、解吸酸度等；该法的主要优点是操作简单、快速，干扰小，避免了常规方法中用浓硝酸消化活性炭费时和污染大的解吸方法，该法已用于测定水中痕量钼（Ⅵ），加标回收率达到94％－97％。