Correlation integral as a tool for distinguishing between dynamics and statistics in time series data

We propose a new test for time series data for proper choice of processing technique: dynamical or statistical. It is based upon the normalized slope of the correlation integral (, m) = m⁻¹d(ln C()) /d ln , where m is the embedding dimension. It is shown that when does not tend to 0 on the resolved range of scales as m grows, then there will be serious limitations for dynamical methods even if the data are dynamical by nature. In the latter case it means that the length of time series does not allow to resolve small scales, and on large scales the delay reconstruction for any m mixes true and false neighbours of points and therefore restricts the application of dynamical techniques, such as estimating Lyapunov exponents or predicting time series.     

ESR spectrometer with a loop-gap resonator for cw and time resolved studies in a superconducting magnet

The design and performance of an electron spin resonance spectrometer operating at 3 and 9 GHz microwave frequencies combined with a 9-T superconducting magnet are described. The probehead contains a compact two-loop, one gap resonator, and is inside the variable temperature insert of the magnet enabling measurements in the 0-9T magnetic field and 1.5-400 K temperature range. The spectrometer allows studies on systems where resonance occurs at fields far above the g approximately 2 paramagnetic condition such as in antiferromagnets. The low quality factor of the resonator allows time resolved experiments such as, e.g., longitudinally detected ESR. We demonstrate the performance of the spectrometer on the NaNiO2 antiferromagnet, the MgB2 superconductor, and the RbC60 conducting alkaline fulleride polymer.     

Existence results for singular three point boundary value problems on time scales

We prove the existence of a positive solution for the three point boundary value problem on time scale given by

     

Non-destructive testing of tubes using a time reverse numerical simulation (TRNS) method

A method for the detection of defects in cylindrical structures and the determination of their positions and orientations is presented in this paper. The scattered field, which is generated by the interaction of excited guided waves with a defect, is evaluated with an approach named time reverse numerical simulation method (TRNS). Since the excited waves and the scattered field propagate along the sample, the time-consuming scanning of the whole tube can be eliminated. The scattered displacement field is measured in three dimensions over time with a laser vibrometer at different locations distributed equally around the circumference at a fixed axial coordinate far away from the defect. Instead of analyzing the complicated time signals directly, they are played back in time. If the recorded displacement histories of the scattered field are reversed in time and played back in an identical structure, the waves travel back the same path and interfere to a maximum at their origin. The result is an amplitude increase at the position of the defect where the scattered field was generated. Instead of playing back the recorded time signals in an experiment, this step is replaced by a numerical simulation. Only this enables the visualization and detection of the amplitude increase. As long as the simulation is of high accuracy, the position of the maximum interference corresponds exactly to the location of the defect in the experiment, although no defect is implemented in the simulation.     

Functional MRI using intravascular contrast agents: detrending of the relative cerebrovascular (rCBV) time course

In pharmacological fMRI experiments in animal models, blood pool contrast agents may be used to map cerebral blood volume change as a surrogate for neural activation. When the background signal drift due to contrast agent washout is non-negligible over the duration of the signal changes of interest, time-course detrending is essential for accurate interpretation of the experiment. Detrending approaches based on estimation of the background signal from a baseline period of the time course prior to pharmacological (or functional) challenge were evaluated with the aim of identifying a robust method of estimating the contrast agent washout contribution to the background signal drift. For fMRI studies in the rat, it was found that a constrained fit of a mono-exponential washout model was more accurate than a constant background approximation and unconstrained fits for experiments investigating the functional response to rapid pharmacological challenges such as cocaine and amphetamine. Moreover, the constrained fitting approach allows shorter baseline periods than unconstrained extrapolation, reducing the required duration of the experiment.     

激光大气等离子体时间演化特性的光谱研究

采用延时光谱法和谱线演化法 ,对YAG脉冲激光器 1 0 6 μm光束击穿一个大气压的空气所产生的等离子体进行了时间分辨光谱研究。对激光大气等离子体连续光谱的短波带与长波带分别进行了时间分辨测量 ,结果表明两者的衰变速率均在等离子体激发约 0 5微秒以后明显变慢。分析认为这种衰变速率的变慢可能与空气中氧对自由电子的吸附与去吸附有关。对激光大气等离子体线状光谱所作的时间分辨测量则表明 ,大部分线状光谱的演化寿命大于其标称寿命 ,部分线状光谱还呈现“衰变—增涨—衰变”的复杂形式。分析认为线状光谱的这些演化特征可能与等离子体在衰变期间的各种复合过程和能量转移过程有关。     

合肥光源逐圈束流位置监测系统中的定时系统

 定时系统是合肥光源逐圈束流位置监测和相空间测量系统中的重要组成部分,其主要目的是为数据采集卡提供与环内电子束团同步的时钟信号。该系统包含高速ECL时钟成形、分频电路、程控延时电路、控制模块等部分。可实现延时范围0～220ns,最小延时步距0.5ns,调整精度0.1ns,时钟抖动小于200ps。系统控制软件基于客户/服务器结构,操作灵活、方便。     

Exact multiplicity and ordering properties of positive solutions of a p-Laplacian Dirichlet problem and their applications

We study the exact multiplicity and ordering properties of positive solutions of the p-Laplacian Dirichlet problem

     

ZnSe/SiO2半导体量子点玻璃的光谱特性

对采用溶胶凝胶法制备的ZnSe/SiO2半导体量子点玻璃的光谱性质进行了测试分析.UV-Vis透射光谱中观察到光吸收边相对于体相半导体有明显蓝移.稳态发射光谱(PL)中观察到ZnSe纳米晶体的位于蓝区的基本呈高斯分布的弱的最低激子发射峰、强而宽的表面态发光带以及对应杂质能级的三个锐峰发光.时间分辨荧光光谱(TRPL)中观察到发光效率高的最低激子发射峰,并测量其荧光衰减寿命,经尾部拟合为28.5 ps.同时,结合有效质量近似(EMA)模型,估计ZnSe纳米晶体的平均粒径介于2.45~3.60 nm之间,尺寸分布基本呈高斯型.