A universal algorithm to generate pseudo-random numbers based on uniform mapping as homeomorphism

A specific uniform map is constructed as a homeomorphism mapping chaotic time series into [0,1] to obtain sequences of standard uniform distribution. With the uniform map, a chaotic orbit and a sequence orbit obtained are topologically equivalent to each other so the map can preserve the most dynamic properties of chaotic systems such as permutation entropy. Based on the uniform map, a universal algorithm to generate pseudo random numbers is proposed and the pseudo random series is tested to follow the standard 0-1 random distribution both theoretically and experimentally. The algorithm is not complex, which does not impose high requirement on computer hard ware and thus computation speed is fast. The method not only extends the parameter spaces but also avoids the drawback of small function space caused by constraints on chaotic maps used to generate pseudo random numbers. The algorithm can be applied to any chaotic system and can produce pseudo random sequence of high quality, thus can be a good universal pseudo random number generator.     

Finite element modeling of heating phenomena of cracks excited by high-intensity ultrasonic pulses

A three-dimensional thermo-mechanical coupled finite element model is built up to simulate the phenomena of dynamical contact and frictional heating of crack faces when the plate containing the crack is excited by high-intensity ultrasonic pulses. In the finite element model, the high-power ultrasonic transducer is modeled by using a piezoelectric thermal-analogy method, and the dynamical interaction between both crack faces is modeled using a contact-impact theory. In the simulations, the frictional heating taking place at the crack faces is quantitatively calculated by using finite element thermal-structural coupling analysis, especially, the influences of acoustic chaos to plate vibration and crack heating are calculated and analysed in detail. Meanwhile, the related ultrasonic infrared images are also obtained experimentally, and the theoretical simulation results are in agreement with that of the experiments. The results show that, by using the theoretical method, a good simulation of dynamic interaction and friction heating process of the crack faces under non-chaotic or chaotic sound excitation can be obtained.     

Temporal electronic structure of non-resonant Raman excited virtual state of P-nitroaniline by 514 nm excitation via bond polarisabilities

We have studied the temporal bond polarisabilities of para-nitroaniline from the Raman intensities by the algorithm proposed by Wu et al. in 1987 (Tian B, Wu G, Liu G 1987 J. Chem. Phys. 87 7300). The bond polarisabilities provide much information concerning the electronic structure of the non-resonant Raman excited virtual state. At the initial moment by the 514.5 nm excitation, the tendency of the excited electrons (mapped out by the bond polarisabilities) is to spread to the molecular periphery, and the electronic structure of the Raman virtual state is close to the pseudo-quinonoidic state. When the final stage of relaxation is approached, the bond polarisabilities of those peripheral bonds relax faster than those closer to the molecular core, the phenyl ring. The molecule is in the benzenoidic form as demonstrated by the bond polarisabilities after relaxation.     

大嵛山附近海域游泳动物种类组成和资源现状及其变化分析

2006年1月～10月福建闽东大嵛山附近海域游泳动物调查研究结果表明,该海域的游泳动物有97种,其中鱼类51种（软骨鱼1种,硬骨鱼类50种）,隶属于9目24科42属;甲壳类42种,隶属于2目15科20属;头足类4种,隶属于3目3科3属.暖水性种类为33种,占鱼类总种数的64.7%;暖温性鱼类18种,占鱼类总种数的35.3%,未出现冷温性和冷水性鱼类.种类数的季节变化依次呈夏季〉冬季〉秋季〉春季.生物量的季节变化,依次呈夏季〉秋季〉春季〉冬季;而生物量尾数的季节变化,依次呈夏季〉春季〉秋季〉冬季.平均单位网次渔获生物量和密度分别为9.53kg/h和1 319 ind/h.生物量优势种和密度优势种分别为大黄鱼和中华管鞭虾.扫海面积法估算年平均现存资源量为57 370 ind/km^2和404.51kg/km^2.同时,本文对该海域游泳生物的资源结构现状与历史调查数据作了对比分析,并讨论了多样性结构与生物量的季节性变化规律.结果表明,该海域渔业资源有严重衰退的现象,多样性结构与生物量的季节性变化并不具有必然的一致性.     

马尔可夫链模型在地下水水位预测中的应用

作者将鲁南地区一水文观测孔的９２次地下水水位月平均监测数据,划分了１０种状态范围,运用马尔可夫链模型,对未来地下水水位进行状态范围预测。在与实际监测资料进行对比的基础上,验证了马尔可夫链理论在地下水水位预测中的可行性及可靠性,并对运用中的具体问题进行了探讨。     

双铰四次弹性拱的混沌行为研究

对双铰四次弹性拱的混沌行为在横向周期荷载下的混沌行为进行了研究。首先利用拱的单元平衡方程建立了拱的二阶三次非线性动力学模型;然后通过变换使方程转化为不含常数项的非线性微分动力系统,并由此得到无扰动系统的3个不动点（一个鞍点,两个中心）与同宿轨道;再用Melnikov函数法给出了发生混沌的临界条件;最后给出了该系统出现定常运动和混沌运动的数值结果。研究表明四次弹性拱在横向周期荷载作用下的外激励振幅在一定范围内会出现混沌现象。     

利用背景噪声的分形方法监控台站观测系统运行状态

使用全国23个国家测震台站和17个实验台站地震计记录的背景噪声数据,研究特定尺度(限定频带内)的背景噪声特性,分析利用分形方法监测台站观测系统运行状态的可行性。结果表明,分形方法具有较强的时域性,定量化程度高、抗干扰能力强,基本不受观测系统参数约束,可用于台站观测系统运行状态检测,减少正常记录瞬间中断和引入人为干扰的情况。     

内蒙孪井灌区土壤盐分运移规律分析

研究了孪井灌区典型地段包气带土层可溶盐分在灌溉前后的变化,分析了灌溉水和土壤水盐分动态特征,并在室内进行了不同类型土壤的淋滤试验。结果表明引黄灌溉是使土壤脱盐的过程,尤其是灌溉初期,土壤脱盐非常明显。灌溉洗盐与包气带岩性和灌水量有关,砂壤土较黏砂土易脱盐,土壤初始含盐量越大,灌溉量越大,土壤脱盐量就越大。     

低轨卫星初始状态误差对反演地球重力场的影响

基于动力学法反演地球重力场的基本理论,研究了卫星初始状态向量误差对应用低轨卫星精密轨道数据反演地球重力场的影响。在仅考虑低轨卫星初始状态误差的情况下进行了模拟计算,结果表明:在利用低轨卫星精密轨道数据反演地球重力场时,卫星初始状态向量误差需要重新进行估计;在目前的轨道精度水平下,若不顾及误差方程二次项的影响,反演弧长不宜过长;卫星初始状态速度误差(约1.5mm/s)的影响要大于位置误差(约10 cm)的影响。     

西藏羊八井-康马地区现今地应力测量结果与应力状态分析

本文给出了西藏羊八井-康马地区不同地点的现今地应力实测值的大小和方向. 为了解青藏高原现今地应力状态,结合青藏铁路工程的需要,我们在羊八井-康马地区进行了现场地应力测量. 测量方法采用压磁应力解除法,测点分别布置在羊八井、拉萨、曲水和康马等四个不同的构造部位,测量深度为11～18m. 测量结果表明,本区最大水平主应力方向以NW-NNW为主,最大水平主应力值一般为33～104MPa,但在板块缝合带上的曲水测点最大水平主应力值为23MPa. 与其他地区相比较,本区属中高应力区. 而在曲水应力值属中等偏小,可能反映了板块缝合带现今处于应力释放状态,板块缝合带附近应力具有复杂性.