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Multi-features Based Approach for Moving Shadow Detection 被引量:4
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作者 周宁 周曼丽 +1 位作者 许毅平 方宝红 《Journal of Donghua University(English Edition)》 EI CAS 2004年第6期76-80,共5页
In the video-based surveillance application, moving shadows can affect the correct localization and detection of moving objects. This paper aims to present a method for shadow detection and suppression used for moving... In the video-based surveillance application, moving shadows can affect the correct localization and detection of moving objects. This paper aims to present a method for shadow detection and suppression used for moving visual object detection. The major novelty of the shadow suppression is the integration of several features including photometric invariant color feature, motion edge feature, and spatial feature etc. By modifying process for false shadow detected, the averaging detection rate of moving object reaches above 90% in the test of Hall-Monitor sequence. 展开更多
关键词 MOVING SHADOW detection multi - features MOVING OBJECT DETECTION
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The Large Sky Area Multi-Object Fiber Spectroscopic Telescope (LAMOST) 被引量:40
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作者 Xiang-Qun Cui Yong-Heng Zhao +52 位作者 Yao-Quan Chu Guo-Ping Li Qi Li Li-Ping Zhang Hong-Jun Su Zheng-Qiu Yao Ya-Nan Wang Xiao-Zheng Xing Xin-Nan Li Yong-Tian Zhu Gang Wang Bo-Zhong Gu A-Li Luo Xin-Qi Xu Zhen-Chao Zhang Gen-Rong Liu Hao-Tong Zhang De-Hua Yang Shu-Yun Cao Hai-Yuan Chen Jian-Jun Chen Kun-Xin Chen Ying Chen Jia-Ru Chu Lei Feng Xue-Fei Gong Yong-Hui Hou Hong-Zhuan Hu Ning-Sheng Hu Zhong-Wen Hu Lei Jia Fang-Hua Jiang Xiang Jiang Zi-Bo Jiang Ge Jin Ai-Hua Li Yan Li Ye-Ping Li Guan-QunLiu Zhi-Gang Liu Huo-Ming Shi Zheng-Hong Tang Qing-Sheng Tao Xiang-Yan Yuan Chao Zhai Jing Zhang Yan-Xia Zhang Yong Zhang Ming Zhao Fang Zhou Guo-Hua Zhou Jie Zhu Si-Cheng Zou 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2012年第9期1197-1242,共46页
The Large Sky Area Multi-Object Fiber Spectroscopic Telescope (LAMOST, also called the Guo Shou Jing Telescope) is a special reflecting Schmidt telescope. LAMOST’s special design allows both a large aperture (effecti... The Large Sky Area Multi-Object Fiber Spectroscopic Telescope (LAMOST, also called the Guo Shou Jing Telescope) is a special reflecting Schmidt telescope. LAMOST’s special design allows both a large aperture (effective aperture of 3.6 m–4.9 m) and a wide field of view (FOV) (5°). It has an innovative active reflecting Schmidt configuration which continuously changes the mirror’s surface that adjusts during the observation process and combines thin deformable mirror active optics with segmented active optics. Its primary mirror (6.67m×6.05 m) and active Schmidt mirror (5.74m×4.40 m) are both segmented, and composed of 37 and 24 hexagonal sub-mirrors respectively. By using a parallel controllable fiber positioning technique, the focal surface of 1.75 m in diameter can accommodate 4000 optical fibers. Also, LAMOST has 16 spectrographs with 32 CCD cameras. LAMOST will be the telescope with the highest rate of spectral acquisition. As a national large scientific project, the LAMOST project was formally proposed in 1996, and approved by the Chinese government in 1997. The construction started in 2001, was completed in 2008 and passed the official acceptance in June 2009. The LAMOST pilot survey was started in October 2011 and the spectroscopic survey will launch in September 2012. Up to now, LAMOST has released more than 480 000 spectra of objects. LAMOST will make an important contribution to the study of the large-scale structure of the Universe, structure and evolution of the Galaxy, and cross-identification of multiwaveband properties in celestial objects. 展开更多
关键词 techniques: wide field telescope - active optics - multi fiber - spectroscopy survey - data reduction
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A Comparative Study of Acute Hemodynamic Effects of Multi -site Cardiac Pacing in patients with cardiac function NYHA class ⅠtoⅡ without bundle branch block 被引量:2
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作者 朱参战 崔长琮 +5 位作者 张全发 薛小临 刘维维 刘引会 《South China Journal of Cardiology》 CAS 2001年第2期101-105,共5页
Objective To compare the acute hemodynamic effects of five different pacing modes in patients with cardiac function NYHA class Ⅰ to Ⅱ without bundle branch block (BBB). Methods This study included 12 patients (SSS ... Objective To compare the acute hemodynamic effects of five different pacing modes in patients with cardiac function NYHA class Ⅰ to Ⅱ without bundle branch block (BBB). Methods This study included 12 patients (SSS 7, Ⅲ°AVB 5) undergoing pacemaker implantation. Right ventricular apex (RVA), right ventricular outflow tract (RVOT), right ventricular bifocal (RV-Bi), left ventricular base (LVB) and bi -ventricular (Bi-Ⅴ) pacing at 60 -80 ppm were done in VVI mode prior to implantation of DDD pacemaker. The cardiac index (CI), mean pulmonary artery pressure (mPAP) and pulmonary capillary wedge pressure (PCWP) were measured with Swan - Ganz thermodilution catheter after 5 minutes of each pacing mode. Results (1) Comparing to pacing at RVA (CI: 2. 41± 0. 38 L/min per m2, PCWP: 16. 7 ±3.3 mmHg), the CI increased and the PCWP decreased significantly in pacing at RVOT(CI: 2. 63 ± 0.46, PCWP: 13. 8±2. 3), LVB(CI: 2. 78±0.52, PCWP: 14. 4±3.1), RV-Bi(CI: 2. 83±0.57, PCWP: 12. 8± 2. 5) and Bi -Ⅴ pacing (CI: 2. 94± 0.60, PCWP: 12. 7±2. 5), P < 0. 01, respectively. (2) The CI of RV-Bi and Bi-Ⅴ pacing was higher than that of RVOT and LVB pacing, the PCWP was lower, P < 0. 05, respectively. (3) There was no significant difference between RV - Bi pacing and Bi-Ⅴ pacing in CI and PCWP. Conclusion There is no significant difference between RV - Bi pacing and Bi -V pacing in the acute hemodynamic effects; however,dual - site pacing is much better than single site pacing in that aspect for patients with cardiac function NYHA class Ⅰ to Ⅱ without BBB. Among single site pacing, the RVOT and LVB pacing is better than RVA pacing in cardiac function. 展开更多
关键词 multi - site cardiac pacingHemodynamics
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Multi-fractal Behaviors of Relative Humidity over China 被引量:2
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作者 GAO Li-Hao FU Zun-Tao 《Atmospheric and Oceanic Science Letters》 CSCD 2013年第2期74-78,共5页
The multi-fractal ity over China are studied behaviors of relative humid using the multi-fractal de trended fluctuation analysis (DFA) method. Three multi fractal parameters (the spectrum width Aa, the asymmetry Aa... The multi-fractal ity over China are studied behaviors of relative humid using the multi-fractal de trended fluctuation analysis (DFA) method. Three multi fractal parameters (the spectrum width Aa, the asymmetry Aaas, and the long-range correlation exponent a0) of the singularity spectrum are introduced to quantify the multi-fractal behaviors. The results show that multi-frac tality exists in daily humidity records over most stations in China and is mainly due to the broad distribution of the probability density of the sequence values. Strong multi fractal behaviors over some stations in the Yunnan, Guangdong, and Inner Mongolia provinces are obvious. These behaviors are mainly caused by different long range correlations between large and small fluctuations. The asymmetry of the singularity of relative humidity records is weak, except for a small number of stations in the far east and west of China, where the singularity spec trum is left-skewed. Finally, the long-range correlations in North China are stronger than those in South China, which indicates better predictability in North China. By studying the parameters of the multi-fractal spectrum, various data of long-range power law correlations of the relative humidity records are obtained, which may pro vide theoretical support for climate prediction. 展开更多
关键词 long-range correlation scaling exponent multi-FRACTAL multi-fractal detrended fluctuation analysisCitation: Gao L.-H. and Z.-T. Fu 2013: multi-fractalbehaviors of relative humidity over China Atmos. Oce-anic Sci. Lett. 6 74-78.
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Research on A Master - slave Multi - microcomputers Control System for Hollow Spindle Fancy Yarn Spinning Machine
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作者 李志蜂 陈子展 阵瑞琪 《Journal of China Textile University(English Edition)》 EI CAS 1999年第1期49-52,共4页
In this paper, a successfully studied and developed master - slave muld - microcomputers control system based on PC - BUS for hollow spindle fancy yarn spinning machine, mainly Its overall scheme, software and hardwar... In this paper, a successfully studied and developed master - slave muld - microcomputers control system based on PC - BUS for hollow spindle fancy yarn spinning machine, mainly Its overall scheme, software and hardware construction, is introduced. Spinning experiments show that the system achieves satisfactory result. This system can solve the diftkultles of mechatronical fusion between domestic hollow splndk fancy yarn spuming muchine and its microcomputer control technology. 展开更多
关键词 hollow SPINDLE FANCY YAM spinning machine mechatrvnical fusion MASTER - SLAVE multi - microcomputers control system PC - BUS.
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On the Representation of Multi-layer Woven Structure
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作者 易洪雷 丁辛 《Journal of China Textile University(English Edition)》 EI CAS 1999年第3期14-16,共3页
A quantitative method is developed to identify the structures of multi-layer woven fabric in this study. Six structural parameters are selected to represent the fabric structure. With some design criteria for the rein... A quantitative method is developed to identify the structures of multi-layer woven fabric in this study. Six structural parameters are selected to represent the fabric structure. With some design criteria for the reinforcement of textile composites, the relationships among the structural parameters are derived for different binding patterns of the fabric structure. The conditions, which meet the requirements of structural cell stability,are also discussed. 展开更多
关键词 multi - layer woven FABRIC structural parame-ter BINDING PATTERN TEXTILE composite .
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Computer-aided Pattern Design of Multi-bar Warp Knitted Fabrics
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作者 李炜 《Journal of China Textile University(English Edition)》 EI CAS 2000年第1期85-87,共3页
To meet the development trend of multi-bar warp knit-ting machine towards high-speed,advanced technologyand computer control and the requirements of variousproducts with small quantity,there are many researcheson the ... To meet the development trend of multi-bar warp knit-ting machine towards high-speed,advanced technologyand computer control and the requirements of variousproducts with small quantity,there are many researcheson the computer-aided pattern design of multi-barwarp knitted fabrics.In terms of the special propertiesof the computer-aided pattern design of multi-barwarp knitted fabrics,the Object Oriented Program(OOP)programming-Object Windows class Library(OWL)programming is selected.According to thecharacters of the OWL programming,various functionsare defined.Pattern design and technical parameters canbe output,which offers a great convenience for the fac-tory. 展开更多
关键词 multi - bar WARP KNITTED fabric computer -aided PATTERN design PATTERN Object Windows class Library (OWL) programming.
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MODS: A Novel Metaheuristic of Deterministic Swapping for the Multi-Objective Optimization of Combinatorials Problems
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作者 Elias David Nifio Ruiz Carlos Julio Ardila Hemandez +2 位作者 Daladier Jabba Molinares Agustin Barrios Sarmiento Yezid Donoso Meisel 《Computer Technology and Application》 2011年第4期280-292,共13页
This paper states a new metaheuristic based on Deterministic Finite Automata (DFA) for the multi - objective optimization of combinatorial problems. First, a new DFA named Multi - Objective Deterministic Finite Auto... This paper states a new metaheuristic based on Deterministic Finite Automata (DFA) for the multi - objective optimization of combinatorial problems. First, a new DFA named Multi - Objective Deterministic Finite Automata (MDFA) is defined. MDFA allows the representation of the feasible solutions space of combinatorial problems. Second, it is defined and implemented a metaheuritic based on MDFA theory. It is named Metaheuristic of Deterministic Swapping (MODS). MODS is a local search strategy that works using a MDFA. Due to this, MODS never take into account unfeasible solutions. Hence, it is not necessary to verify the problem constraints for a new solution found. Lastly, MODS is tested using well know instances of the Bi-Objective Traveling Salesman Problem (TSP) from TSPLIB. Its results were compared with eight Ant Colony inspired algorithms and two Genetic algorithms taken from the specialized literature. The comparison was made using metrics such as Spacing, Generational Distance, Inverse Generational Distance and No-Dominated Generation Vectors. In every case, the MODS results on the metrics were always better and in some of those cases, the superiority was 100%. 展开更多
关键词 METAHEURISTIC deterministic finite automata combinatorial problem multi - objective optimization metrics.
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基于Hurst指数的严重段塞流多尺度分形特性
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作者 李乃良 刘常松 +2 位作者 杜雪平 张一帆 韩东太 《化工学报》 EI CSCD 北大核心 2024年第2期484-492,F0001,共10页
基于多尺度方法和Hurst分析方法,分析了严重段塞流的多尺度结构及其非线性特征。以空气、水两相混合物作为实验介质,利用高速数据采集板获得了集输立管内气液两相严重段塞流的压差波动信号。使用db4小波在1~8尺度下对压差信号进行分解... 基于多尺度方法和Hurst分析方法,分析了严重段塞流的多尺度结构及其非线性特征。以空气、水两相混合物作为实验介质,利用高速数据采集板获得了集输立管内气液两相严重段塞流的压差波动信号。使用db4小波在1~8尺度下对压差信号进行分解和重构,提取不同尺度的系统动力学特征,发现严重段塞流气液喷发和液体回落的瞬态过程主要体现在d5~d8尺度的细节信号上。通过对压差波动信号不同尺度下的分解信号进行Hurst指数分析,发现严重段塞流存在显著的双分形特征,同时受正持久性和反持久性两种动力学因素的制约,但概貌分量和细节分量表现出截然相反的分形结构,概貌分量具有正持久性,而细节分量具有反持久性。d1尺度下的细节分量描述了微尺度的气泡与气泡之间的相互作用;d2~d5尺度下的细节分量描述了微尺度的液体与气泡之间的相互作用;d6~d8尺度下的细节分量描述了宏尺度的气液两相与管壁之间的相互作用。压差波动信号的能量主要分布于宏尺度上。 展开更多
关键词 严重段塞流 压差 多尺度 分形 气液两相流 HURST指数
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多频激励Duffing-van der Pol系统振动状态研究 被引量:7
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作者 赵志宏 张明 +1 位作者 杨绍普 邢海军 《振动与冲击》 EI CSCD 北大核心 2013年第19期76-79,共4页
通过多尺度法对Duffing-van der Pol系统的幅频响应特性进行研究,多频激励改变了单频激励条件下系统的振动状态。与Duffing系统相比,Duffing-van der Pol系统不但使系统主共振曲线发生了偏移,而且系统的振幅也发生了变化。经过分析得出... 通过多尺度法对Duffing-van der Pol系统的幅频响应特性进行研究,多频激励改变了单频激励条件下系统的振动状态。与Duffing系统相比,Duffing-van der Pol系统不但使系统主共振曲线发生了偏移,而且系统的振幅也发生了变化。经过分析得出了Duffing-van der Pol系统主共振幅频特性曲线的偏移和振幅的改变与加入的多频激励的幅度和频率有关。利用Matlab对Duffing-van der Pol进行了数值仿真,仿真结果得出多频外激励改变了原有单频激励的振动状态,并且随着多频激励的幅值和频率的改变,系统的振动状态出现了一定规律的变化。对比研究了解析分析与数值仿真结果,得出的结论比较一致。 展开更多
关键词 Duffing-van der Pol系统 非线性 多频 分岔 LYAPUNOV指数
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广义受迫Vander Pol-Duffing系统的稳定性与分岔
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作者 张永祥 孔贵芹 《系统仿真学报》 EI CAS CSCD 北大核心 2007年第21期5084-5085,共2页
给出了广义受迫VanderPol-Duffing方程,用多初始点分岔分析方法分析了系统外部参数对其稳定性的影响,应用了分岔图、Lyapunov指数图和Poincaré映射图分析了系统的非线性动力学行为,结果很好地解释了该系统中一些复杂的非线性现象,... 给出了广义受迫VanderPol-Duffing方程,用多初始点分岔分析方法分析了系统外部参数对其稳定性的影响,应用了分岔图、Lyapunov指数图和Poincaré映射图分析了系统的非线性动力学行为,结果很好地解释了该系统中一些复杂的非线性现象,为研究许多模型提供了一定的理论参考和实际意义。 展开更多
关键词 混沌 多初始点分岔分析方法 LYAPUNOV指数 POINCARE映射
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Pressure Gradient Force,Saffman Lift,and Magnus Lift on the Fiber-like Particle in Fluid 被引量:5
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作者 朱泽飞 林建忠 《Journal of China Textile University(English Edition)》 EI CAS 2000年第2期23-27,共5页
Flher-like particle suspensions are common in both na-ture and industry, but there is little work reported on it.The forces acting on the fiber - like particle in fluid arestudied in this paper, and the Magnus lift, S... Flher-like particle suspensions are common in both na-ture and industry, but there is little work reported on it.The forces acting on the fiber - like particle in fluid arestudied in this paper, and the Magnus lift, Saffman lift,pressure gradient force, and then the dynamics modelhave been received. The numerical study of the simpleshear flow past the cylinders shows that the particles ’motion is controlled by the vortex. 展开更多
关键词 multi - phase FLUID FIBER - LIKE PARTICLE FORCE analysis
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The 0-1 test algorithm for chaos and its applications 被引量:5
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作者 孙克辉 刘璇 朱从旭 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第11期200-206,共7页
To determine whether a given deterministic nonlinear dynamic system is chaotic or periodic, a novel test approach named zero-one (0-1) test has been proposed recently. In this approach, the regular and chaotic motio... To determine whether a given deterministic nonlinear dynamic system is chaotic or periodic, a novel test approach named zero-one (0-1) test has been proposed recently. In this approach, the regular and chaotic motions can be decided by calculating the parameter K approaching asymptotically to zero or one. In this study, we focus on the 0-1 test algorithm and illustrate the selection of parameters of this algorithm by numerical experiments. To validate the reliability and the universality of this algorithm, it is applied to typical nonlinear dynamic systems, including fractional-order dynamic system. 展开更多
关键词 CHAOS 0-1 test fractional-order system Lyapunov exponent
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The chaotic behavior among the oil prices, expectation of investors and stock returns: TAR-TR-GARCH copula and TAR-TR-TGARCH copula 被引量:3
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作者 Melike Bildirici 《Petroleum Science》 SCIE CAS CSCD 2019年第1期217-228,共12页
This paper has two aims. The first one is to investigate the existence of chaotic structures in the oil prices, expectations of investors and stock returns by combining the Lyapunov exponent and Kolmogorov entropy, an... This paper has two aims. The first one is to investigate the existence of chaotic structures in the oil prices, expectations of investors and stock returns by combining the Lyapunov exponent and Kolmogorov entropy, and the second one is to analyze the dependence behavior of oil prices, expectations of investors and stock returns from January 02, 1990, to June06, 2017. Lyapunov exponents and Kolmogorov entropy determined that the oil price and the stock return series exhibited chaotic behavior. TAR-TR-GARCH and TAR-TR-TGARCH copula methods were applied to study the co-movement among the selected variables. The results showed significant evidence of nonlinear tail dependence between the volatility of the oil prices, the expectations of investors and the stock returns. Further, upper and lower tail dependence and comovement between the analyzed series could not be rejected. Moreover, the TAR-TR-GARCH and TAR-TR-TGARCH copula methods revealed that the volatility of oil price had crucial effects on the stock returns and on the expectations of investors in the long run. 展开更多
关键词 Oil price Expectations of INVESTORS - Stock returns Chaos Lyapunov exponent Kolmogorov entropy TAR-TR-GARCH and TAR-TR-TGARCH COPULA methods
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The multi-dimension RSA and its low exponent security 被引量:10
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作者 曹珍富 《Science China(Technological Sciences)》 SCIE EI CAS 2000年第4期349-354,共6页
Using a well-known result of polynomial over the finite field p , we show that the Euler-Fermat theorem holds inN [x]. We present a multi-dimension RSA cryptosystem and point out that low exponent algorithm of attacki... Using a well-known result of polynomial over the finite field p , we show that the Euler-Fermat theorem holds inN [x]. We present a multi-dimension RSA cryptosystem and point out that low exponent algorithm of attacking RSA is not suitable for the multi-dimension RSA. Therefore, it is believed that the security of the new cryptosystem is mainly based on the factorization of large integers. 展开更多
关键词 multi-DIMENSION RSA LOW exponent SECURITY Euler-Fermat theorem in N [x] FACTORIZATION polynomial over finite field.
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On the Weighted Elliptic Problems Involving Multi-singular Potentials and Multi-critical Exponents 被引量:1
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作者 Dong Sheng KANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2009年第3期435-444,共10页
Suppose Ω belong to R^N(N≥3) is a smooth bounded domain,ξi∈Ω,0〈ai〈√μ,μ:=((N-1)/2)^2,0≤μi〈(√μ-ai)^2,ai〈bi〈ai+1 and pi:=2N/N-2(1+ai-bi)are the weighted critical Hardy-Sobolev exponents, i ... Suppose Ω belong to R^N(N≥3) is a smooth bounded domain,ξi∈Ω,0〈ai〈√μ,μ:=((N-1)/2)^2,0≤μi〈(√μ-ai)^2,ai〈bi〈ai+1 and pi:=2N/N-2(1+ai-bi)are the weighted critical Hardy-Sobolev exponents, i = 1, 2,..., k, k ≥ 2. We deal with the conditions that ensure the existence of positive solutions to the multi-singular and multi-critical elliptic problem ∑i=1^k(-div(|x-ξi|^-2ai△↓u)-μiu/|x-ξi|^2(1+ai)-u^pi-1/|x-ξi|^bipi)=0with Dirichlet boundary condition, which involves the weighted Hardy inequality and the weighted Hardy-Sobolev inequality. The results depend crucially on the parameters ai, bi and #i, i -- 1, 2,..., k. 展开更多
关键词 multi-singular multi-critical weighted elliptic problem weighted Hardy-Sobolev exponent
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Generating one-,two-,three-and four-scroll attractors from a novel four-dimensional smooth autonomous chaotic system 被引量:3
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作者 Sara Dadras Hamid Reza Momeni 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第6期106-114,共9页
A new four-dimensional quadratic smooth autonomous chaotic system is presented in this paper, which can exhibit periodic orbit and chaos under the conditions on the system parameters. Importantly, the system can gener... A new four-dimensional quadratic smooth autonomous chaotic system is presented in this paper, which can exhibit periodic orbit and chaos under the conditions on the system parameters. Importantly, the system can generate one-, two-, three- and four-scroll chaotic attractors with appropriate choices of parameters. Interestingly, all the attractors are generated only by changing a single parameter. The dynamic analysis approach in the paper involves time series, phase portraits, Poincare maps, a bifurcation diagram, and Lyapunov exponents, to investigate some basic dynamical behaviours of the proposed four-dimensional system. 展开更多
关键词 new smooth autonomous four-dimensional chaotic system multi-scroll chaotic attractor Poincare mapping BIFURCATION Lyapunov exponent
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p-Laplacian椭圆问题非负解的存在性(英文)
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作者 李园园 《纺织高校基础科学学报》 CAS 2013年第4期458-462,共5页
本文研究带不确定次线性非线性项的p-Laplacian椭圆的Dirichlet问题-Δp u=a(x)us+λb(x)ut在有界区域ΩRN(N≥3)上解的存在性和多重性.具体地说,是利用上下解的方法来得到第一个解的存在性,然后利用放松的山路定理来得到第二个解的... 本文研究带不确定次线性非线性项的p-Laplacian椭圆的Dirichlet问题-Δp u=a(x)us+λb(x)ut在有界区域ΩRN(N≥3)上解的存在性和多重性.具体地说,是利用上下解的方法来得到第一个解的存在性,然后利用放松的山路定理来得到第二个解的存在性. 展开更多
关键词 椭圆问题 临界指数 不确定次线性非线性项 存在性 多样性
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Multi-peak Nodal Solutions for a Two-dimensional Elliptic Problem with Large Exponent in Weighted Nonlinearity
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作者 Yi-bin ZHANG Hai-tao YANG 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2015年第1期261-276,共16页
We consider the boundary value problem△u+︳x︳^2α︳u︳p-1u=0,-1〈α≠0.in the unit ballB with the homogeneous Dirichlet boundary condition, when p is a large exponent. By a constructive way, weprove that for any po... We consider the boundary value problem△u+︳x︳^2α︳u︳p-1u=0,-1〈α≠0.in the unit ballB with the homogeneous Dirichlet boundary condition, when p is a large exponent. By a constructive way, weprove that for any positive integer m, there exists a multi-peak nodal solution vp whose maxima and minima arelocated alternately near the origin and the other m points q1=(λcos^2Л(1-1)/m,λsin 2Л(1-1)/m,1=2,…,m+1such that as p goes to +∞ ,p︳x︳2α︳up︳p-1 up→8Лe(1+α)(1+α)δ0+∑^m+1δ_1=28Лe(-1)l-1δql,whereλ∈(0, 1), m is an odd number with(1+α)(m+2) -- 1 〉 0, or m is an even number. The same techniqueslead also to a more general result on general domains. 展开更多
关键词 multi-peak nodal solutions large exponent finite dimensional reduction
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三峡水库蓄水初期寸滩站洪水预报方法研究 被引量:2
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作者 闫龙增 冉钦朋 +2 位作者 贺苹 张娜 王晓凤 《水文》 CSCD 北大核心 2023年第1期72-77,共6页
寸滩站作为长江上游重要控制站,承担着上游防汛和三峡蓄水的双重任务。基于三峡蓄水初期寸滩站水力学特性发生改变和该时段“高水位、低流量”现象,发现Q≤25000m^(3)/s时,寸滩受顶托显著,Z-Q关系线发生“左偏”。在此变化条件下,分别... 寸滩站作为长江上游重要控制站,承担着上游防汛和三峡蓄水的双重任务。基于三峡蓄水初期寸滩站水力学特性发生改变和该时段“高水位、低流量”现象,发现Q≤25000m^(3)/s时,寸滩受顶托显著,Z-Q关系线发生“左偏”。在此变化条件下,分别研究了平水期、涨水期的水位、流量预报方法,即先由河道演算的流量查询预报综合线得到水位预报,进而通过水位反查报汛综合线(或绳套、临时关系线)获得流量预报。平水期,依适用条件采用落差指数或多元门限回归开展预报,成果基本能够满足防汛和蓄水需求;涨水期,以“嘉陵江2021年第3号洪水”寸滩预报为例,分析了洪水组成、Z-Q关系绳套化、洪峰水位流量错时出现、水库实时调度和下游顶托等多种因素,采用多源、多尺度水文气象耦合与预报调度一体化辅以主客观融合的人工校正技术实时预警预报,支撑长江上游水库群联合调度,降低寸滩水位约1~2.5 m.研究可为长江上游秋汛防洪和保障三峡蓄水提供支撑。 展开更多
关键词 洪水预报 寸滩 三峡水库 蓄水初期 落差指数 多元门限回归
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