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一类单调流的渐近性态
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作者 叶茂 《电子科技大学学报》 EI CAS CSCD 北大核心 1997年第5期557-559,共3页
研究了一类拓扑动力系统单调流的渐近性问题。首先定义了一些概念,然后利用集合分析方法以及不等式分析技巧,获得了拓扑动力系统的单调流是拟渐近的充分条件。文中所获得的结果,不要求动力系统是不可约系统,同时改进了文献[1]的... 研究了一类拓扑动力系统单调流的渐近性问题。首先定义了一些概念,然后利用集合分析方法以及不等式分析技巧,获得了拓扑动力系统的单调流是拟渐近的充分条件。文中所获得的结果,不要求动力系统是不可约系统,同时改进了文献[1]的结果。 展开更多
关键词 微分方程 一类单调流 渐近性态
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正Liapunov稳定的强单调流
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作者 蒋继发 《数学学报(中文版)》 SCIE CSCD 北大核心 1990年第6期786-790,共5页
在本文中,我们研究正 Liapunov 稳定的强单调流的渐近性态.证明了这种流的每一条轨线或者收敛于一个奇点,或者趋于流所定义的区域之边界.在欧氏空间中,我们给出了这种流的分类.
关键词 Lyapunov稳定 单调流 轨线
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半线性抛物型方程定义的光滑强单调流收敛于半渐近稳定的奇点
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作者 蒋继发 《数学学报(中文版)》 SCIE CSCD 北大核心 1994年第5期671-677,共7页
本文研究半线性抛物型方程定义的光滑强单调流的渐近性态,我们给出了具有有界轨线且不收敛于半渐近稳定奇点的点集在X ̄α中是第一范畴的充要条件,我们还研究了全有序奇点弧的存在性和非平凡不变函数的存在性之间的等价关系。
关键词 单调流 抛物型方程 半渐近稳定性
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混合单调半流与泛函微分方程的稳定性 被引量:4
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作者 陈伯山 《数学学报(中文版)》 SCIE CSCD 北大核心 1995年第2期267-273,共7页
本文首先提出混合单调半流的概念和泛函微分方程生成这种半流的条件。然后,利用半流的混合单调性,我们得到关于泛函微分方程的渐近稳定性和全局稳定性的新结果.
关键词 泛函微分方程 混合单调 稳定性
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一类无穷时滞泛函微分方程解的渐近性态 被引量:1
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作者 王良龙 王志成 《安徽大学学报(自然科学版)》 CAS 2001年第4期1-6,共6页
研究一类无穷时滞泛函微分方程 x(t) =f(xt)解的渐近性态。当f为合作映射时 ,得到了解半流的单调性和解的单调性 ,给出了有界解的ω-极限集的结构 ,在一定的条件下证明了正平衡态的唯一性和解的收敛性 。
关键词 泛函微分方程 远穷时滞 单调 偏序空间 正平衡态 w-极限集 渐近性态解
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一类泛函微分方程生成的K型单调半流 被引量:1
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作者 胡适耕 《数学学报(中文版)》 SCIE CSCD 北大核心 1990年第6期820-827,共8页
我们在[5]中考察了形如(?)(t)=f(x(?))的泛函微分方程,其中 f 是互助映射(依 Smith[9]).本文在对 f 的更一般的假定下继续上述研究,新的假定使得方程(?)(t)=f(x(?))生成所谓 K 型单调半流,它以 Smith[8]所考察的 K 型单调系统作为其特款... 我们在[5]中考察了形如(?)(t)=f(x(?))的泛函微分方程,其中 f 是互助映射(依 Smith[9]).本文在对 f 的更一般的假定下继续上述研究,新的假定使得方程(?)(t)=f(x(?))生成所谓 K 型单调半流,它以 Smith[8]所考察的 K 型单调系统作为其特款,本文的主要结果(定理4)给出了方程的解具有某种全局渐近稳定性的充分条件. 展开更多
关键词 微分方程 K型单调 稳定性
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A Remark on Global Existence in H^4 for a Nonlinear Thermoviscoelasticity Equations with Non-monotone Pressure 被引量:1
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作者 QIN Yu-ming MA Zhi-yong HUANG Lan 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第4期607-611,共5页
We consider a one-dimensional continuous model of nutron star, described by a compressible thermoviscoelastic system with a non-monotone equation of state, due to the effective Skyrme nuclear interaction between parti... We consider a one-dimensional continuous model of nutron star, described by a compressible thermoviscoelastic system with a non-monotone equation of state, due to the effective Skyrme nuclear interaction between particles. We will prove that, despite a possible destabilizing influence of the pressure, which is non-monotone and not always positive, the presence of viscosity and a sufficient thermal dissipation describe the global existence of solutions in H^4 with a mixed free boundary problem for our model. 展开更多
关键词 global existence non-monotone fluid mixed free boundary model priori estimates
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Global Existence in H^2 for a 1-d Non-monotone Fluid 被引量:1
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作者 吴中林 徐娟娟 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2007年第2期296-304,共9页
In this paper, we prove the existence in H+^2, an incomplete metric subspace of H^2×H^2×H^2, of global solutions to the system for a one-dimensional non-monotone fluid in bounded domainΩ=(0,1). The resul... In this paper, we prove the existence in H+^2, an incomplete metric subspace of H^2×H^2×H^2, of global solutions to the system for a one-dimensional non-monotone fluid in bounded domainΩ=(0,1). The results in this paper have improved those previously related results. 展开更多
关键词 non-monotone fluid mixed free boundary model global existence priori estimates
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一类单调斜积半流的ω-极限集的提升动力学行为
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作者 李希亮 郑作环 《应用数学学报》 CSCD 北大核心 2009年第6期1054-1067,共14页
本文研究了一类具有极小基流的单调斜积半流.在假定半流存在一个半连续的半平衡的前提下,我们证明了具有某种一致稳定性的正半轨线的ω-极限集具有1-covering性质,这为理解系统的全局动力学提供了几何洞察.
关键词 单调斜积半 Ω-极限集 1-covering性质 一致稳定性
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Control of Z-Source Inverter Connected to a Single-Phase AC Utility System
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作者 T. Chandrashekar M. Veerachary 《Journal of Energy and Power Engineering》 2011年第5期447-454,共8页
This paper presents a single-phase Z-source inverter as a power conditioning system for a single phase utility connected system. Z-source inverter is a single-stage topology that has buck-boost feature, which is possi... This paper presents a single-phase Z-source inverter as a power conditioning system for a single phase utility connected system. Z-source inverter is a single-stage topology that has buck-boost feature, which is possible because of additional shoot through state introduced in zero state of the conventional inverter pulse width modulation and provides desired output AC voltage. Small distributed generation (DG) system with alternate energy sources requires power conditioning units with low cost, high efficiency and tolerance to wide range of input voltage variation and has to perform various functions such as dc-ac conversion, system control and achieve power quality norms. To meet some of these requirements a two-loop control strategy for ac side control with grid current feedback with PI control and inner filter capacitor current feedback with proportional control and on dc side PID control for Z-source capacitor voltage regulation are employed, which gives good transient response also suppress load and source disturbances effectively. Theoretical analysis of proposed scheme is established and then simulation results are presented to validate proposed control strategy. 展开更多
关键词 BUCK-BOOST Z-source inverter distributed generation phase locked loop.
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微分代数系统的渐近性 被引量:2
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作者 陈伯山 廖晓昕 刘永清 《系统科学与数学》 CSCD 北大核心 2001年第1期48-57,共10页
从动力系统的角度研究微分代数系统,利用单调流理论中的结果和方法讨论微分代数系统渐近性态.首先,我们把所考察的系统嵌入到一族相关的系统,引进使得系统族中的每个系统生成单调流的相应偏序和条件,然后给出了若干关于解收敛于平... 从动力系统的角度研究微分代数系统,利用单调流理论中的结果和方法讨论微分代数系统渐近性态.首先,我们把所考察的系统嵌入到一族相关的系统,引进使得系统族中的每个系统生成单调流的相应偏序和条件,然后给出了若干关于解收敛于平衡点的一般性结果,并对一类微分代数系统的渐近性作了较为精细的讨论.我们的结果是Hirch等关于常微分方程的相关结果的推广和改进. 展开更多
关键词 微分代数系统 渐近性 单调流 动力系统 常微分方程
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一类非线性泛函微分方程的渐近性 被引量:3
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作者 陈伯山 《系统科学与数学》 CSCD 北大核心 1996年第1期29-36,共8页
本文利用单调半流理论研究一类非线性泛函微分方程的渐近性态,发展了HirschM.W.和SmithH.L.关于常微分方程所得的某些结果.
关键词 泛函微分方程 单调 渐近性 非线性
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The relations between density of FACs in the Plasma Sheet Boundary Layers and Kp index 被引量:8
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作者 CHENG ZhengWei SHI JianKui +2 位作者 ZHANG TieLong DUNLOP Malcolm LIU ZhenXing 《Science China(Technological Sciences)》 SCIE EI CAS 2011年第11期2987-2992,共6页
We have studied 172 field-aligned currents (FACs) cases observed by the ClusterlI satellites when they crossed the plasma sheet boundary layer (PSBL) in the magnetotail from July to October 2001. We mainly analyze... We have studied 172 field-aligned currents (FACs) cases observed by the ClusterlI satellites when they crossed the plasma sheet boundary layer (PSBL) in the magnetotail from July to October 2001. We mainly analyzed the relationship between the characteristic of FACs at the PSBL in magnetotail and the Kp index. The main results indicated the followings: 1) In the different geomagnetic activity levels, the relative occurrence of FACs in PSBL increased monotonically with geomagnetic activity. 2) The density of FACs in PSBL increased monotonically with Kp index. In the storm main phase, the density of FACs increased dramatically, the maximum FACs approximately equaled 19.05 nA m-2 while Kp equaled 5.3) The variation of FACs density in PSBL was consistent with the variation of the Kp index. However, when AE〈800 nT, FACs density in PSBL increased with increasing AE, and when AE〉800 nT, it decreased with increasing AE. Therefore, our results suggested that the FACs density in PSBL had a closer correlation with Kp index. 展开更多
关键词 field-aligned currents plasma sheet boundary layer Kp index AE index
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Vibrating Carbon Nanotubes as Water Pumps 被引量:6
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作者 Hu Qiu Rong Shen Wanlin Guo 《Nano Research》 SCIE EI CAS CSCD 2011年第3期284-289,共6页
Nanopumps conducting fluids directionally through nanopores and nanochannels have attracted considerable interest for their potential applications in nanofiltration, water purification, and hydroelectric power generat... Nanopumps conducting fluids directionally through nanopores and nanochannels have attracted considerable interest for their potential applications in nanofiltration, water purification, and hydroelectric power generation Here, we demonstrate by molecular dynamics simulations that an excited vibrating carbon nanotube (CNT) cantilever can act as an efficient and simple nanopump. Water molecules inside the vibrating cantilever are driven by centrifugal forces and can undergo a continuous flow from the fixed to free ends of the CNT. Further extensive simulations show that the pumping function holds good not only for a single-file water chain in a narrow (6,6) CNT, but also for bulk-like water columns inside wider CNTs, and that the water flux increases monotonically with increasing diameter of the nanotube. 展开更多
关键词 Nanopump carbon nanotube nanofluidics centrifugal forces water dynamics
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Evolution and monotonicity of eigenvalues under the Ricci flow 被引量:2
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作者 FANG ShouWen XU HaiFeng ZHU Peng 《Science China Mathematics》 SCIE CSCD 2015年第8期1737-1744,共8页
Let (M,g(t)) be a compact Riemannian manifold and the metric g(t) evolve by the Ricci flow. We derive the evolution equation for the eigenvalues of geometric operator --△φ+ cR under the Ricci flow and the nor... Let (M,g(t)) be a compact Riemannian manifold and the metric g(t) evolve by the Ricci flow. We derive the evolution equation for the eigenvalues of geometric operator --△φ+ cR under the Ricci flow and the normalized Ricci flow, where A, is the Witten-Laplacian operator, φ∈C∞(M), and R is the scalar curvature with respect to the metric g(t). As an application, we prove that the eigenvalues of the geometric operator are nondecreasing along the Ricci flow coupled to a heat equation for manifold M with some Ricci curvature 1 condition when c 〉1/4. 展开更多
关键词 EIGENVALUE Witten-Laplacian Ricci flow
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ON FACTORIZATION THEOREMS OF PLURIHARMONIC MAPS INTO THE UNITARY GROUP 被引量:1
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作者 CHENGQIYUAN DONGYUXIN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1997年第3期323-330,共8页
The authors give some constructive factorization theorems for pluriharmonic maps from a Kaehler manifold into the unitary group U(N) and obtain some optimal upper bounds of minimal uniton numbers.
关键词 Pluriharmonic map Kaehler manifold Unitary group FACTORIZATION Untion number
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Partial energies monotonicity and holomorphicity of Hermitian pluriharmonic maps 被引量:1
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作者 YANG GuiLin HAN YingBo DONG YuXin 《Science China Mathematics》 SCIE 2013年第5期1019-1032,共14页
In this paper, we introduce the notion of Hermitian pluriharmonic maps from Hermitian manifold into Kiihler manifold. Assuming the domain manifolds possess some special exhaustion functions and the vecotor field V = J... In this paper, we introduce the notion of Hermitian pluriharmonic maps from Hermitian manifold into Kiihler manifold. Assuming the domain manifolds possess some special exhaustion functions and the vecotor field V = JMδJM satisfies some decay conditions, we use stress-energy tensors to establish some monotonicity formulas of partial energies of Hermitian pluriharmonic maps. These monotonicity inequalities enable us to derive some holomorphicity for these Hermitian pluriharmonic maps. 展开更多
关键词 stress energy tensor monotonicity formula Hermitian pluriharmonic map holomorphic map
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Epidemiology of traffic crash mortality in west of Iran in a 9 year period
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作者 Behrooz Hamzeh Farid Najafi +3 位作者 Behzad Karamimatin Tuoraj Ahmadijouybari Aresh Salari Mehdi Moradinazar 《Chinese Journal of Traumatology》 CAS CSCD 2016年第2期70-74,共5页
Purpose: In Iran, the most common cause of injuries and the second leading cause of deaths are traffic accidents, and those problems impose a substantial financial burden on the society. This study aims to determine ... Purpose: In Iran, the most common cause of injuries and the second leading cause of deaths are traffic accidents, and those problems impose a substantial financial burden on the society. This study aims to determine traffic accident mortality trends and their epidemiologic characteristics in the Kermanshah province, west of lran. Methods: In a cross sectional study, road traffic fatality data from 2004 to 2013 were analyzed to determine the epidemiological pattern of traffic accident mortality. Trend assessment was performed to ascertain the decreasing or increasing status. Chi-square and one-way analysis of variance (ANOVA) tests, as well as Poisson regression were used to determine the significance of the data in time. Data were analyzed using Excel and statistical package of SPSS version 19. Results: Out of 5110 people that died in traffic accidents, 4024 (78.7%) were males. The state of accidents indicated that 404 (43.8%) female pedestrians died as a result of car crashes, and 1330 (41.4%) males died because of car collisions. 1554 (31.9%) deaths happened to pedestrians and 1556 (32.1%) to vehicle drivers, and the rest belonged to vehicle passengers. Head trauma was the cause of death for as much as 3400 (69.9%) cases. Fatal crashes in which pedestrians were involved mostly occurred between the hours 13:00 to 15:00, while the time for vehicle drivers was between 16:00 to 18:00. 2882 people (59.1%) died before reaching to health care facilities. Traffic crash mortality trend for pedestrians follows a linear pattern with a gentle downward slope, but the trend shows various swings when it comes to vehicle drivers. Conclusion: The number of traffic crash deaths from 2004 to 2013 indicates a decreasing trend in two groups of road users: vehicle drivers and car occupants. This can be due to some interventions such as modification of traffic rules and enhancement of police control which has been implemented in recent years. Moreover, more attention should be paid to promote the optimal health care services to save the lives of the injured from traffic accidents. 展开更多
关键词 Accidents trafficMotor vehiclesMortality[ran
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