水下爆炸近场非均熵流的特征线差分解法

提出了一种改进的特征线差分方法,根据力学基本方程推导出2族带有熵变修正项的特征线方程,并将质点迹线方程补充为第3族特征线方程,利用这3个特征线方程可以对水下爆炸冲击波及波后的非均熵流场进行求解。由于特征线差分法无需引入人工粘性项处理冲击波间断问题,所以减少了人为干预的影响因素。最后,应用这种改进的特征线法对质量分数比w(TNT)∶w(RDX)=40∶60的TNT/RDX炸药球的水下爆炸问题进行了数值模拟。在比例距离1≤R/R0≤4的近场范围内,计算得到的冲击波峰值压力与文献实验数据的最大相对误差在13.1%以内,进一步证明了这种改进的特征线差分方法的正确性。

水下爆炸非均熵二维定常流的三族特征线解法

针对二维定常可压缩超声速非等熵柱状流,提出一种特征线差分解法,通过在沿马赫线的相容方程中添加沿流线的熵变项以描述非等熵效应,得到等熵流和非等熵流均适用的三族特征线方程组。根据水下爆炸近场特点,建立无限长柱状装药的定常模型,将三族特征线方程组用有限差分法离散求解,通过构造合适的网格保证计算格式可以数值上收敛,由此编制程序并计算几种柱状炸药的水下爆炸近场冲击波。对比有限元模拟结果和实验结果发现,特征线差分法可以比较准确地捕捉冲击波形状并计算冲击波后流场,从而验证了所提出的三族特征线差分法的准确性。

关于具有初始激波流的均熵气体动力学方程组的解不产生真空态的一个定理

应用Ｇｌｉｍｍ方法证明具有初始弱激波流的均熵流，在任意有限时间内不会产生真空，且其比容ｖ（ｘ，ｔ）不会超出初始比容ｖ（ｘ。

一维均熵流方程组Cauchy问题

考虑一维均熵流方程组Ｃａｕｃｈｙ 问题，验证了文献［１］ 提出的一个开问题的正确性，并且给出了经典解生命跨度精确估计式．

具耗散均熵流方程组的整体解(英文)

本文考虑具耗散项一维均熵流方程组 ,在对具连续积分片光滑初值作一些合理假设下 ,证明了其

基于最大幅值变分模态分解和均方根熵的滚动轴承故障诊断

针对变分模态分解中模态个数的设定会对分解结果产生重要影响的问题,提出一种求取最优分解层数的方法,该方法以瞬时频率的幅值特性为依据,通过分析变分模态分解过程中,各分量最大幅值之间的关系来确定最佳分解参数;均方根熵可以反映不同振动信号的能量值,以信号均方根熵为故障特征参量,通过优化支持向量机建立故障分类模型,实现故障模式分类。将基于最大幅值变分模态分解和均方根熵的故障诊断方法应用于滚动轴承实测信号中,实验结果表明基于最大幅值变分模态分解和均方根熵的方法能够有效识别滚动轴承运行状态,识别准确率高达98.75%。

三维均熵流方程组经典解生命跨度的精确估计

考虑柯西问题ｔρ＋ρｕ＝０，ρ（ｔｕ＋（ｕｕ）＋ρｒ＝０，ρ（０，ｘ）＝ρ＋ερε０（ｘ）＞０，ｕ（０，ｘ）＝εｕε０（ｘ）．这里ε＞０是一小参数，ｒ＞１，ρ＞０是常数．本文得到了上述柯西问题经典解的生命跨度的精确估计，即存在不依赖ε的两个正常数Ｃ１和Ｃ２，满足ｅｘｐ（Ｃ１ε－１≤Ｔ（ε）≤ｅｘｐ（Ｃ２ε－１），从而改进了ＳｉｄｅｒｉｓＴ．

熵函数在质量管理中的应用

怎样科学地判断生产系统的稳定性是质量管理的关键问题。研究它不仅具有理论意义，更具有实践意义．本文将系统熵的概念同概率论方面的有关知识以及生产系统处于稳态的五个特征结合起来，推导出了五种熵函数，给出了系统熵和均熵的表达式，从而为判断生产系统的稳定性提供了一种新方法．

基于最大相关熵准则的网络流量预测

为提高网络流量预测的精度，针对网络流量的非线性特征提出了一种基于新的误差评价准则——最大相关熵准则（MCC）的网络流量预测方法。该方法使用MCC对Elman神经网络进行训练。该评价准则是基于新的相似度函数——广义相关熵（corrent．ropy）函数的概念建立的，此相似度函数以误差概率密度函数的Parzen窗估计和瑞利熵为基础。同时结合MCC和最小均方误差（MMSE）准则提出了一种混合的评价准则MCC-MMSE。针对网络流量的非线性、非高斯性、突变性等特性，分别以MCC、MCC-MMSE准则进行了Elman神经网络的训练，使用训练好的神经网络进行网络流量预测，仿真结果表明预测结果的精度优于以MMSE为准则的Elman神经网络的预测结果。

Short-term prediction of photovoltaic power generation based on LMD-EE-ESN with error correction

Considering the instability of the output power of photovoltaic(PV)generation system,to improve the power regulation ability of PV power during grid-connected operation,based on the quantitative analysis of meteorological conditions,a short-term prediction method of PV power based on LMD-EE-ESN with iterative error correction was proposed.Firstly,through the fuzzy clustering processing of meteorological conditions,taking the power curves of PV power generation in sunny,rainy or snowy,cloudy,and changeable weather as the reference,the local mean decomposition(LMD)was carried out respectively,and their energy entropy(EE)was taken as the meteorological characteristics.Then,the historical generation power series was decomposed by LMD algorithm,and the hierarchical prediction of the power curve was realized by echo state network(ESN)prediction algorithm combined with meteorological characteristics.Finally,the iterative error theory was applied to the correction of power prediction results.The analysis of the historical data in the PV power generation system shows that this method avoids the influence of meteorological conditions in the short-term prediction of PV output power,and improves the accuracy of power prediction on the condition of hierarchical prediction and iterative error correction.

脑电信号的分析和监测

通过对脑电信号时频均谱熵的分析,研究用于描述临床手术麻醉深度的实时监测参数。随机采集33例麻醉状态下脑电信号序列,分析其时频均谱熵变化趋势,判断病人的神经活动状态。实验结果显示,脑电信号的时频均谱熵值随着麻醉深度的增加而减少,当肌电熵值接近零时,病人进入麻醉状态。表明时频均谱熵算法简单、计算所需数据序列短、抗干扰强,采用时频均谱熵对脑电信号进行分析,可为临床麻醉深度监测提供一种实时的方法。

基于参数优化VMD的轴承故障诊断方法研究

针对早期滚动轴承故障诊断准确率低、信号特性不平稳且难以获取大量样本等问题,提出基于最大相关峭度解卷积(MCKD)、乌燕鸥算法优化变分模态分解(STOA-VMD)和粒子群算法优化支持向量机(PSO-SVM)的滚动轴承故障诊断模型。首先使用MCKD处理信号提高信噪比,再通过STOA-VMD对信号进行分解,特征参量选用均方根熵值,输入PSO-SVM实现故障分类,并由实验和仿真验证了该方法可使故障诊断准确率明显提高。

Adaptive genetic algorithm with the criterion of premature convergence

To counter the defect of traditional genetic algorithms, an improved adaptivegenetic algorithm with the criterion of premature convergence is provided. The occurrence ofpremature convergence is forecasted using colony entropy and colony variance. When prematureconvergence occurs, new individuals are generated in proper scale randomly based on superiorindividuals in the colony. We use these new individuals to replace some individuals in the oldcolony. The updated individuals account for 30 percent - 40 percent of all individuals and the sizeof scale is related to the distribution of the extreme value of the target function. Simulationtests show that there is much improvement in the speed of convergence and the probability of globalconvergence.

改进的势函数模型与跨声速含激波流动

本文在分析激波处流动性质和熵条件的基础上，指出了传统等熵势函数在跨声速流动计算中的局限性；对解除了等熵和无旋约束的一些改进了的势函数模型作了系统的综述和分析，进一步讨论了均熵与无旋条件在物理上的相容性以及人工粘性对激波处Ｒａｎｋｉｎ－Ｈｕｇｏｎｉｏｔ条件的影响。

Aggregating metasearch engine results based on maximal entropy OWA operator

The maximal entropy ordered weighted averaging （ME-OWA） operator is used to aggregate metasearch engine results, and its newly analytical solution is also applied. Within the current context of the OWA operator, the methods for aggregating metasearch engine results are divided into two kinds. One has a unique solution, and the other has multiple solutions. The proposed method not only has crisp weights, but also provides multiple aggregation results for decision makers to choose from. In order to prove the application of the ME-OWA operator method, under the context of aggregating metasearch engine results, an example is given, which shows the results obtained by the ME-OWA operator method and the minimax linear programming （ minimax-LP ） method. Comparison between these two methods are also made. The results show that the ME-OWA operator has nearly the same aggregation results as those of the minimax-LP method.

Multiple Entropy Measures for Multi-particle Pure Quantum State

We propose to use a set of averaged entropies, the multiple entropy measures (MEMS), to partiallyquantify quantum entanglement of multipartite quantum state.The MEMS is vector-like with m = [N/2] components:[S_1, S_2,..., S_m], and the i-th component S_i is the geometric mean of i-qubits partial entropy of the system.The S_imeasures how strong an arbitrary i qubits from the system are correlated with the rest of the system.It satisfies theconditions for a good entanglement measure.We have analyzed the entanglement properties of the GHZ-state, theW-states, and cluster-states under MEMS.

Research on natural language recognition algorithm based on sample entropy

Sample entropy can reflect the change of level of new information in signal sequence as well as the size of the new information. Based on the sample entropy as the features of speech classification, the paper firstly extract the sample entropy of mixed signal, mean and variance to calculate each signal sample entropy, finally uses the K mean clustering to recognize. The simulation results show that： the recognition rate can be increased to 89.2% based on sample entropy.

Expanded Relative Operator Entropies and Operator Valued α-Divergence

For strictly positive operators A and B, and for x ∈ [0,1] and r ∈[-1,1], we investigate the operator power mean A#x,rB=A1/2{（1-x）/＋x（a-1＊2BA-1/2）r}1/rA1/2 If r = O, this is reduced to the geometric operator mean A#x,rB=A1/2{（1-x）/＋x（a-1＊2BA-1/2）r}1/rA1/2 Since A #0,r B = A and A #l,r B = B, weregard A#t,rB as apath combining A and B.Our aim is to show the essential properties of St,r （AIB）. The Tsallis relative operator entropy by Yanagi, Kuriyama and Furuichi can also be expanded, and by using this, we can give an expanded operator valued a-divergence and obtain its properties.

The Saturation of Several Universal Inequalities in Information-Processing

In this paper, we characterize the saturation of four universal inequalities in quantum information theory, including a variant version of strong subadditivity inequality for von Neumann entropy, the coherent information inequality, the Holevo quantity, and average entropy inequalities. These results shed new light on quantum information inequalities.

ＳＴＡＢＬＥＡＮＤＵＮＳＴＡＢＬＥＩＤＥＡＬＰＬＡＮＥＦＬＯＷＳ

The authors investigate the stability of a steady ideal plane flow in an arbitrary domain in terms of the L^2 norm of the vorticity. Linear stability implies nonlinear instability provided the growth rate of the linearized system exceeds the Liapunov exponent of the flow. In contrast,a maximizer of the entropy subject to constant energy and mass is stable. This implies the stability of certain solutions of the mean field equation.