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Painlevé integrability of a generalized fifth-order KdV equation with variable coefficients: Exact solutions and their interactions 被引量:1
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作者 徐桂琼 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第5期75-82,共8页
By means of singularity structure analysis, the integrability of a generalized fifth-order KdV equation is investigated. It is proven that this equation passes the Painleve test for integrability only for three distin... By means of singularity structure analysis, the integrability of a generalized fifth-order KdV equation is investigated. It is proven that this equation passes the Painleve test for integrability only for three distinct cases. Moreover, the multi- soliton solutions are presented for this equation under three sets of integrable conditions. Finally, by selecting appropriate parameters, we analyze the evolution of two solitons, which is especially interesting as it may describe the overtaking and the head-on collisions of solitary waves of different shapes and different types. 展开更多
关键词 generalized fifth-order KdV equation Painleve integrability soliton solution symbolic computa-tion
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Second-order calibration applied to quantification of two active components of Schisandra chinensis in complex matrix 被引量:1
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作者 Xiao-Hua Zhang, Hai-Long Wu, Jian-Yao Wang, Yao Chen, Yong-Jie Yu, Chong-Chong Nie, Chao Kang, De-Zhu Tu, Ru-Qin Yu State Key Laboratory of Chemo/Biosensing and Chemometrics, College of Chemistry and Chemical Engineering, Hunan University, Changsha 410082, PR China 《Journal of Pharmaceutical Analysis》 SCIE CAS 2012年第4期241-248,共8页
The effectiveness of traditional Chinese medicine (TCM) against various diseases urges more low cost, speed and sensitive analytical methods for investigating the phamacology of TCM and providing a theoretical basis f... The effectiveness of traditional Chinese medicine (TCM) against various diseases urges more low cost, speed and sensitive analytical methods for investigating the phamacology of TCM and providing a theoretical basis for clinical use. The potential of second-order calibration method was validated for the quantification of two effective ingredients of Schisandra chinensis in human plasma using spectrofluorimetry. The results obtained in the present study demonstrate the advantages of this strategy for multi-target determination in complex matrices. Although the spectra of the analytes are similar and a large number of interferences also exist, second-order calibration method could predict the accurate concentrations together with reasonable resolution of spectral profiles for analytes of interest owing to its ‘second-order advantage’. Moreover, the method presented in this work allows one to simply experimental procedure as well as reduces the use of harmful chemical solvents. 展开更多
关键词 Traditional Chinese medicine Second-order calibration Schizandrol A Schizandrin B Self-weighted alternating normalized residue fitting (SWANRF) algorithm Alternating normaliza- tion-weighted error (ANWE) algorithm.
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Reduced-order proper orthogonal decomposition extrapolating finite volume element format for two-dimensional hyperbolic equations
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作者 Zhendong LUO Fei TENG 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2017年第2期289-310,共22页
This paper is concerned with establishing a reduced-order extrapolating fi- nite volume element (FVE) format based on proper orthogonal decomposition (POD) for two-dimensional (2D) hyperbolic equations. For this... This paper is concerned with establishing a reduced-order extrapolating fi- nite volume element (FVE) format based on proper orthogonal decomposition (POD) for two-dimensional (2D) hyperbolic equations. For this purpose, a semi discrete variational format relative time and a fully discrete FVE format for the 2D hyperbolic equations are built, and a set of snapshots from the very few FVE solutions are extracted on the first very short time interval. Then, the POD basis from the snapshots is formulated, and the reduced-order POD extrapolating FVE format containing very few degrees of freedom but holding sufficiently high accuracy is built. Next, the error estimates of the reduced-order solutions and the algorithm procedure for solving the reduced-order for- mat are furnished. Finally, a numerical example is shown to confirm the correctness of theoretical conclusions. This means that the format is efficient and feasible to solve the 2D hyperbolic equations. 展开更多
关键词 reduced-order finite volume element (FVE) extrapolating format properorthogonal decomposition (POD) hyperbolic equation error estimate numerical simula-tion
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High order multiplication perturbation method for singular perturbation problems
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作者 张文志 黄培彦 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第11期1383-1392,共10页
This paper presents a high order multiplication perturbation method for sin- gularly perturbed two-point boundary value problems with the boundary layer at one end. By the theory of singular perturbations, the singula... This paper presents a high order multiplication perturbation method for sin- gularly perturbed two-point boundary value problems with the boundary layer at one end. By the theory of singular perturbations, the singularly perturbed two-point boundary value problems are first transformed into the singularly perturbed initial value problems. With the variable coefficient dimensional expanding, the non-homogeneous ordinary dif- ferential equations (ODEs) are transformed into the homogeneous ODEs, which are then solved by the high order multiplication perturbation method. Some linear and nonlinear numerical examples show that the proposed method has high precision. 展开更多
关键词 singular perturbation problem (SPP). high order multiplication perturba-tion method two-point boundary value problem boundary layer
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AN X RAY DIFFRACTION STUDY OF THE AGING TRANSFORMATION IN Al Li Cu Zr ALLOY
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作者 Y.H. Wei, L.Q. Hu , L.S. Jian , L. Lu and B.S. Xu College of Materials Science and Engineering, Taiyuan University of Technology ,Taiyuan 030024 ,China 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 1999年第4期581-584,共4页
Theinitialstageofagingtransformationin Al 2 27% Li 2 68 % Cu 0 11% Zr 0 13% Ceal loy at100℃wasstudied by meansof x ray diffraction.It wasconcludedthatordering of Liatom happens whenthealloyissolution treated andquenc... Theinitialstageofagingtransformationin Al 2 27% Li 2 68 % Cu 0 11% Zr 0 13% Ceal loy at100℃wasstudied by meansof x ray diffraction.It wasconcludedthatordering of Liatom happens whenthealloyissolution treated andquenched, and beforetheformationofδ’ phasethereexitscontinuous phasetransformation processes, namely ordering ,spinodal de composition and both coexistence. Gunier Preston zone was not found in the aging process ofthestudied alloy. 展开更多
关键词 Al LI CU ZR ALLOY phase TRANSFORMAtion AGING spinodal decomposi tion ordering
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Exact solutions of nonlinear fractional differential equations by (G'/G)-expansion method 被引量:6
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作者 Ahmet Bekir zkan Güner 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第11期140-145,共6页
In this paper, we use the fractional complex transform and the (G'/G)-expansion method to study the nonlinear fractional differential equations and find the exact solutions. The fractional complex transform is prop... In this paper, we use the fractional complex transform and the (G'/G)-expansion method to study the nonlinear fractional differential equations and find the exact solutions. The fractional complex transform is proposed to convert a partial fractional differential equation with Jumarie's modified Riemann-Liouville derivative into its ordinary differential equation. It is shown that the considered transform and method are very efficient and powerful in solving wide classes of nonlinear fractional order equations. 展开更多
关键词 (G'/G)-expansion method time-fractional Burgers equation fractional-order biological popula-tion model space-time fractional Whitham-Broer-Kaup equations
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THE GENERAL PROPERTIES OF THE SPHERICAL VORTICES(SV)OF n-TH ORDER AND THE CHAOTIC PHENOMENA AND OF THE ORDERED STRUCTURES OF THE SV OF 3RD ORDER 被引量:1
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作者 是长春 黄永念 +1 位作者 叶弋 江涛 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1994年第4期353-358,共6页
The general properties of the spherical vortices(SV)of n-th order are discussedin this paper Numerical calculations are carried out in the case of n=3.We find outsome interesting phenomena concerning the chaotic regio... The general properties of the spherical vortices(SV)of n-th order are discussedin this paper Numerical calculations are carried out in the case of n=3.We find outsome interesting phenomena concerning the chaotic regions and ordered islands on the Poincare sections. Interpretations of these phenomena are also given. 展开更多
关键词 Beltrami flow. spherical vortex. general properties. Poincare sec-tion. chaotic trajectory. ordered island. numerical calculation
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A NEW BIDIRECTIONAL ASSOCIATIVE MEMORY MODEL-HOMIBAM
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作者 王保云 杨绿溪 何振亚 《Journal of Electronics(China)》 1995年第4期325-329,共5页
A new bidirectional associative memory model named as HOMIBAM is introduced. The relationships of HOMIBAM with the models existed are pointed out. Both theoretical analysis and simulations show that the capacity and r... A new bidirectional associative memory model named as HOMIBAM is introduced. The relationships of HOMIBAM with the models existed are pointed out. Both theoretical analysis and simulations show that the capacity and recall performance of HOMIBAM are superior to that of modified intraconnected BAM (MIBAM), higher-order BAM (HOBAM ) greatly. 展开更多
关键词 BIDIRECtionAL ASSOCIATIVE memory RECALL Capacity Pattern PAIR Intraconnec-tion HIGHER-order Error-correcting capability
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Sonoluminescence as the PeTa Radiation, Part Two 被引量:1
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作者 Vitali A. Tatartchenko 《Optics and Photonics Journal》 2017年第11期197-220,共24页
This paper is a continuation of one published in this journal nine months ago. The two papers present a model of cavitational luminescence (CL), multi-bubble sonoluminescence (MBSL), one-bubble sonoluminescence (OBSL)... This paper is a continuation of one published in this journal nine months ago. The two papers present a model of cavitational luminescence (CL), multi-bubble sonoluminescence (MBSL), one-bubble sonoluminescence (OBSL), and laser-induced bubble luminescence (LIBL). The basis of this model is the PeTa (Perel’man-Tatartchenko) effect, a nonequilibrium characteristic radiation under first-order phase transitions, especially vapour condensation. In this model, the main role is given to the liquid, where the evaporation, condensation, flash, and subsequent collapse of bubbles occur. The instantaneous vapour condensation inside the bubble is a reason for the CL/MBSL/OBSL/LIBL. Apparently, the dissolved gases and other impurities in the liquid are responsible for peaks that appear at the background of the main spectrum. They are most likely excited by a shock wave occurred during the collapse. This paper, in contrast to the previous one, presents a slightly expanded model that explains additional experimental data concerning especially the LIBL spectrum. As a result, today we are not aware of any experimental data that would contradict the PeTa model, and we continue to assert that there is no mystery to the CL/MBSL/OBSL/LIBL phenomena, as well as no reason to hope that they can be used for high-temperature chemical reactions, and even more so for a thermonuclear ones. 展开更多
关键词 Cavitational LUMINESCENCE (CL) SONOLUMINESCENCE (SL) Multi-Bubble SONOLUMINESCENCE (MBSL) One-Bubble SONOLUMINESCENCE (OBSL) LASER-INDUCED Bubble LUMINESCENCE (LIBL) PeTa (Perel’man-Tatartchenko) Effect FIRST-order Phase TRANSItionS Evapora-tion Condensation
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Filtering algorithm of line structured light for long-distance obstacle detection
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作者 邵海燕 张振海 李科杰 《Journal of Beijing Institute of Technology》 EI CAS 2016年第4期521-525,共5页
Since unmanned ground vehicles often encounter concave and convex obstacles in wild ground, a filtering algorithm using line structured light to detect these long distance obstacles is proposed. For the line structure... Since unmanned ground vehicles often encounter concave and convex obstacles in wild ground, a filtering algorithm using line structured light to detect these long distance obstacles is proposed. For the line structured light image, a ranked-order based adaptively extremum median (RAEM) filter algorithm on salt and pepper noise is presented. In the algorithm, firstly effective points and noise points in a filtering window are differentiated; then the gray values of noise points are replaced by the medium of gray values of the effective pixels, with the efficient points' gray values unchanged; in the end this algorithm is proved to be efficient by experiments. Experimental resuits demonstrate that the image blur, resulting into proposed algorithm can remove noise points effectively and minimize the protecting the edge information as much as possible. 展开更多
关键词 unmanned ground vehicles line structured light concave and convex obstacles detec-tion ranked-order based adaptively extremum median (RAEM) filter filter algorithm
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盟友在美国亚太联盟转型中的作用与限度
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作者 董柞壮 《战略决策研究》 2024年第5期42-50,120,121,共11页
美国亚太联盟转型是地区权力对比变化和美国战略调整的结果。在此过程中美国盟友也扮演了不同角色,分别是:核心盟友充当地区霸权代理者,推动联盟承诺的扩展与深化;中间盟友充当大国博弈中间人,通过多边安排赢得对冲空间;与中国有冲突的... 美国亚太联盟转型是地区权力对比变化和美国战略调整的结果。在此过程中美国盟友也扮演了不同角色,分别是:核心盟友充当地区霸权代理者,推动联盟承诺的扩展与深化;中间盟友充当大国博弈中间人,通过多边安排赢得对冲空间;与中国有冲突的盟友则试图利用联盟实现自身利益。总体上盟友间的联系提高了信息沟通效率,强化了盟友间的共识,提供了合作节点,整合了联盟内部资源,同时也反映了美国整合能力不足,以及安全承诺的不稳定。 展开更多
关键词 美国联盟体系 美国盟友 亚太地区秩序 中美关系
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基于优化小波包分解的航空发动机主轴承故障特征增强方法
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作者 张振鹏 栾孝驰 +2 位作者 沙云东 杨杰 赵奉同 《装备环境工程》 CAS 2024年第9期42-49,共8页
目的 解决航空发动机主轴承微弱故障特征在高背景噪声环境和变转速工况下难识别的问题,提出基于优化小波包分解的航空发动机主轴承故障特征增强方法。方法 首先通过计算阶次分析方法,将振动时域信号转化为振动角域信号;然后对振动角域... 目的 解决航空发动机主轴承微弱故障特征在高背景噪声环境和变转速工况下难识别的问题,提出基于优化小波包分解的航空发动机主轴承故障特征增强方法。方法 首先通过计算阶次分析方法,将振动时域信号转化为振动角域信号;然后对振动角域信号进行小波包分解,并引入有效故障特征能量比和优化最大相关峭度解卷积方法对信号故障特征进行增强,通过循环迭代逐步提取故障特征;最后对信号进行包络分析,并与理论轴承故障阶次进行对比,实现轴承故障诊断。结果 通过对整机试车条件下航空发动机主轴承外圈压坑故障实验数据进行分析,验证了该方法能够有效增强振动信号中的故障特征信息。结论 与传统WPD方法相比,该方法可以有效增强主轴承故障特征阶次,实现高背景噪声环境和变转速工况下的故障诊断。 展开更多
关键词 主轴承 优化小波包分解 最大相关峭度解卷积 计算阶次分析 故障特征增强 故障分析
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基于揭序加密的联邦决策树安全比较协议
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作者 韩朝阳 葛春鹏 +1 位作者 刘哲 方黎明 《计算机学报》 EI CAS CSCD 北大核心 2024年第4期892-906,共15页
得益于联邦学习的发展,多个参与方得以越来越方便地在保护隐私的前提下协同训练多种机器学习模型.随着联邦学习训练方案的逐渐成熟,在这些模型上进行高效联邦预测任务的需求也日益受到关注.目前对联邦学习得到模型的应用的研究大都处于... 得益于联邦学习的发展,多个参与方得以越来越方便地在保护隐私的前提下协同训练多种机器学习模型.随着联邦学习训练方案的逐渐成熟,在这些模型上进行高效联邦预测任务的需求也日益受到关注.目前对联邦学习得到模型的应用的研究大都处于复用训练范式的范畴,而实际上这一做法造成了额外的开销,联邦预测任务存在着极大的效率提升空间.本文对基于树模型的外包预测服务进行研究.首先明确阐述了“联邦预测”任务,并指出设计高效解决方案面临着数据异构分布和用户数据动态变化的挑战.针对这些挑战,本文提出了新颖的安全比较协议OREC.OREC通过一个不可信的第三方的协助,使得两个参与方得以秘密地比较他们的私密值.所设计的协议基于揭序加密,其通过公开函数可以揭示出密文之间的顺序关系.为了增强其隐私性,我们进一步设计了一次一密机制并引入了混淆密码序列技巧.我们对协议进行了全面的安全性分析,并证明了其面对恶意第三方的鲁棒性.此外,我们还通过大量实验验证了所提出协议的高效性和可扩展性. 展开更多
关键词 联邦学习 联邦预测 安全比较 揭序加密 外包计算 隐私计算
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基于多特征融合的卫星信号调制方式识别
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作者 李云涛 边东明 张更新 《信号处理》 CSCD 北大核心 2024年第7期1298-1306,共9页
面向卫星通信中常用的QPSK类调制方式识别问题,提出了一种联合了谱特征、瞬时统计特征、高阶累积量特征和幅度分布特征的调制识别算法。算法在信号预处理与频域检测的基础上,首先利用速率信号谱特征和二次方谱特征识别出OQPSK和BPSK,然... 面向卫星通信中常用的QPSK类调制方式识别问题,提出了一种联合了谱特征、瞬时统计特征、高阶累积量特征和幅度分布特征的调制识别算法。算法在信号预处理与频域检测的基础上,首先利用速率信号谱特征和二次方谱特征识别出OQPSK和BPSK,然后分别利用频谱重心法和速率信号法估计信号的载频、带宽和符号速率等参数,并从正交下变频及匹配滤波后的符号定时同步后的复信号中提取高阶累积量特征参数,将剩余信号分类为调相信号和幅相调制信号,最后联合四次方谱特征和幅度分布特征完成所有调制方式的识别。仿真结果表明算法对频偏不敏感,于16APSK和32QAM的识别性能也比传统的基于高阶谱的方法要好,且算法在信噪比为6 dB时除16QAM和64QAM外的调制方式识别率为100%。最后,用信号源和采集卡搭建测试平台,九种实采信号的分类结果验证了算法的有效性,由于经频谱重心法估计出的载频存在一定误差,再次证明了该算法对频偏不敏感。 展开更多
关键词 卫星通信 谱特征 瞬时特征参数 高阶累积量 调制信号识别
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两种高阶非线性偏微分方程组守恒律的构造
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作者 刘亚峰 额尔敦布和 赵巧红 《内蒙古民族大学学报(自然科学版)》 2024年第2期75-82,共8页
利用Ibragimov新守恒定理和对称-共轭对称‘对’方法构造了3阶形变Boussinesq型方程、耦合KdV方程等2个高阶非线性偏微分方程组的局部守恒律,并对所求得的守恒律进行比较,揭示了2种方法在求解高阶非线性偏微分方程组守恒律中的等价关系。
关键词 Ibragimov新守恒定理 对称-共轭对称‘对’方法 3阶形变Boussinesq型方程 耦合Kd V方程 守恒律
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基于SSD-HT时频阶比跟踪的变转速转子故障诊断 被引量:5
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作者 唐贵基 庞彬 何玉灵 《推进技术》 EI CAS CSCD 北大核心 2018年第5期1134-1141,共8页
为解决变转速工况下转子故障特征难以提取的问题,提出一种基于SSD-HT时频阶比跟踪的转子故障诊断方法。应用一种新的信号分解方法—奇异谱分解对转子故障振动信号进行分解,得到包含故障特征信息的奇异谱分量。运用希尔伯特变换计算各个... 为解决变转速工况下转子故障特征难以提取的问题,提出一种基于SSD-HT时频阶比跟踪的转子故障诊断方法。应用一种新的信号分解方法—奇异谱分解对转子故障振动信号进行分解,得到包含故障特征信息的奇异谱分量。运用希尔伯特变换计算各个有效奇异谱分量的瞬时频率,获取故障信号的时频分布。根据时频分布中的转频信息对原始振动信号进行阶比跟踪分析,提取直观的阶次特征。仿真分析与实验分析结果表明,在无转速测量装置条件下,所述方法可准确判别变转速工况的转子故障模式,相对于传统分析方法表现出一定的先进性。 展开更多
关键词 奇异谱分解 希尔伯特变换 阶比跟踪 变转速 转子 故障诊断
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多元函数极值的判别方法 被引量:5
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作者 陈玉会 蒋国民 《淮阴工学院学报》 CAS 2006年第3期4-6,17,共4页
将一元函数和二元函数极值的部分判别方法推广到多元函数极值的判别,提出了判定多元函数极值的几个方法。
关键词 多元函数 极值 一阶充分条件 高阶充分条件
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四川盆地普光气田飞仙关组白云岩储层成因探讨 被引量:25
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作者 蒋小琼 管宏林 +5 位作者 郑和荣 王恕一 范明 鲍云杰 李凤丽 韩彧 《石油实验地质》 CAS CSCD 北大核心 2014年第3期332-336,345,共6页
下三叠统飞仙关组储层为普光气田重要的天然气储集层,储层厚度大、物性好。优质储层形成机制直接与碳酸盐岩成岩作用有关,其中白云岩化是重要因素之一。通过对岩石结构的分析,结合白云石的有序度、碳氧同位素地球化学特征及沉积环境,对... 下三叠统飞仙关组储层为普光气田重要的天然气储集层,储层厚度大、物性好。优质储层形成机制直接与碳酸盐岩成岩作用有关,其中白云岩化是重要因素之一。通过对岩石结构的分析,结合白云石的有序度、碳氧同位素地球化学特征及沉积环境,对普光气田飞仙关组白云岩成因进行了研究,表明飞仙关组白云岩主要为准同生期渗透回流的成因类型,证据如下:①飞仙关组白云岩明显地保持原岩矿物结构特征,反映了相对快速的白云化过程;②以微泥晶组成鲕粒的亮晶鲕粒白云岩与准同生微泥晶白云岩有相似的低有序度;③白云岩的碳氧同位素组成特征、古盐度值表明白云化流体的高咸度特征,明显有别于混合水成因白云岩;④飞仙关组台地边缘鲕滩毗邻局限台地环境,容易获得大量高Mg/Ca比咸水,有利于白云岩发育,因此,更有利于形成大量早期白云岩。由此认为,飞仙关组白云岩主要为准同生期渗透回流白云岩,并提出毗邻局限台地或蒸发台地等高盐度环境的礁滩相更有利于优质储层的发育。 展开更多
关键词 白云岩化 有序度 碳氧同位素 白云岩储层 飞仙关组 普光气田 四川盆地
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大尺度结构物的二阶波浪荷载 被引量:6
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作者 陶建华 丁旭 《力学学报》 EI 1988年第5期385-392,共8页
本文提出了一个在有限水深条件下大尺度物体上二阶波浪荷载的数值计算方法。用表面布源法求二阶散射势的特解,提出了有限水深满足非齐次表面边界条件的格林函数,给出了格林函数的积分和级数形式,研究了表面布源范围对解的影响。
关键词 二阶波 格林函数 非齐次边界条件 源分布法
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Ni-Al-V合金L1_2相间有序畴界面的微观相场模拟 被引量:9
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作者 张明义 王永欣 +3 位作者 陈铮 张静 赵彦 甄辉辉 《金属学报》 SCIE EI CAS CSCD 北大核心 2007年第10期1101-1106,共6页
利用微观相场动力学模型模拟Ni-Al-V合金沉淀过程中L1_2(Ni_3Al)相间有序畴界面,对界面结构及其界面处原子的行为进行了研究.结果表明:L1_2相间存在3种稳定的平移界面以及2种过渡界面;界面的迁移性与界面结构有关,一个L1_2相的(100)和... 利用微观相场动力学模型模拟Ni-Al-V合金沉淀过程中L1_2(Ni_3Al)相间有序畴界面,对界面结构及其界面处原子的行为进行了研究.结果表明:L1_2相间存在3种稳定的平移界面以及2种过渡界面;界面的迁移性与界面结构有关,一个L1_2相的(100)和另一个L1_2相的(200)对应且有两个Ni原子面的界面以及(100)和(100)对应且有两个Ni原子面的稳定界面可以迁移,迁移前后界面结构保持不变,迁移的过程中形成过渡界面;而(100)和(200)对应且有一个Ni原子面的稳定界面则不可迁移.合金元素在不同的界面处有不同的偏聚和贫化倾向,Al原子在所有界面处贫化,V原子在所有界面处偏聚,Ni原子在可迁移界面处贫化,而在不可迁移界面处偏聚,且各元素在不同的界面处偏聚以及贫化程度不同. 展开更多
关键词 Ni-Al-V合金 L12(Ni3Al)相 有序畴界 成分偏聚 界面迁移 微观相场
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