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弹跳球映射反可积轨道的连续性
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作者 邓习军 李玺 《云南大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第S3期658-662,共5页
在已有文献基础上进一步研究了弹跳球映射反可积轨道的一些性质,得到了有关反可积轨道保持连续性的条件和结果.
关键词 混沌 反可积轨道 弹跳球映射
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Bouncing Ball映射的双曲不变集 被引量:1
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作者 陈芳跃 贺勤斌 《高校应用数学学报(A辑)》 CSCD 北大核心 2001年第2期223-227,共5页
对碰撞恢复系数范围为 0 <α<1的“弹跳球 (Bouncing Ball)”映射 ,通过适当的坐标变换 ,给出了双曲不变集存在的严格条件 .
关键词 弹跳球映射 马蹄 双曲不变集 坐标变换 恢复系数 拓扑共轭
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3-RRR球面并联机器人运动干涉检查及工作空间研究 被引量:1
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作者 王丽 王蓉 《机械传动》 北大核心 2021年第7期30-36,共7页
为了将3-RRR球面并联机器人用于空间定位跟踪的执行机构,以欧拉角描述机器人末端动平台的姿态,建立机器人位置方程,得到了关节转角的表达式。用几何分析的方法给出了机器人具有姿态空间的必要条件以及各关节必须满足的结构约束。将球面... 为了将3-RRR球面并联机器人用于空间定位跟踪的执行机构,以欧拉角描述机器人末端动平台的姿态,建立机器人位置方程,得到了关节转角的表达式。用几何分析的方法给出了机器人具有姿态空间的必要条件以及各关节必须满足的结构约束。将球面机构的连杆表示为球面上的大圆弧,连杆发生的运动干涉表现为两连杆圆弧的相交,采用球极映射的方法将代表连杆的空间圆弧映射为平面曲线,从而使得空间圆弧求交点问题简化为平面曲线求交。同时,考虑并联机器人在动平台的每个姿态下具有多种位置和每个连杆具有两侧边界的实际情形,提出了判别并联机器人发生运动学干涉的准则和流程。在实例中,以机器人各分支同时具有满足关节结构约束条件的运动学解为目标,探索出机器人姿态空间,进一步对姿态空间每一点进行运动干涉判别,得到了连杆运动干涉在姿态空间的分布。 展开更多
关键词 并联机器人 映射 运动干涉 工作空间
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心室Purkinje纤维传导系统的自动生成算法
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作者 周荷琴 王恒良 +2 位作者 冯焕清 郭永刚 彭虎 《北京生物医学工程》 EI 2001年第1期29-31,50,共4页
由于 Purkinje纤维在心脏心室中的复杂分布 ,它的仿真成为心电正问题研究中的一个难点。本文利用分形树结构来描述 Purkinje纤维传导系统 ,提出了满足边界条件的分形树生长算法。通过对心内膜壁的球映射 ,该算法能在心室壁上自动生成 Pu... 由于 Purkinje纤维在心脏心室中的复杂分布 ,它的仿真成为心电正问题研究中的一个难点。本文利用分形树结构来描述 Purkinje纤维传导系统 ,提出了满足边界条件的分形树生长算法。通过对心内膜壁的球映射 ,该算法能在心室壁上自动生成 Purkinje纤维分形树 ,不需要人工干预。 展开更多
关键词 心电正问题 分形理论 Purkinje纤维 球映射 心脏传导系统
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基于法向域的浅浮雕风格化设计 被引量:4
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作者 刘玉洁 计忠平 +1 位作者 刘真 吴向阳 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2016年第12期2120-2127,共8页
针对数字浅浮雕设计,通过对已有浅浮雕进行整体优化以及局部细节特征的调整来获得不同风格样式的浅浮雕,提出了一种基于法向域的浅浮雕重新风格化方法.首先使用高斯滤波提取初始浅浮雕高度图的高频信息和低频信息,分别表示浅浮雕的细节... 针对数字浅浮雕设计,通过对已有浅浮雕进行整体优化以及局部细节特征的调整来获得不同风格样式的浅浮雕,提出了一种基于法向域的浅浮雕重新风格化方法.首先使用高斯滤波提取初始浅浮雕高度图的高频信息和低频信息,分别表示浅浮雕的细节特征和整体形状;然后通过双边曲面拟合将高频和低频高度图转化为法向图,获得不同频域的法向信息;再运用不同投影方式的球极映射对这2个频域的法向进行编辑;最后通过最小二乘法重建出新的高度图,获得风格迥异的浅浮雕模型.该方法通过分离浅浮雕模型上不同频率的特征信息并在法向域上分别处理,不仅自然地保留和增强了模型表面的特征细节,而且得到了各种异于原浅浮雕模型的风格效果.实验结果表明,文中方法简单有效,为浅浮雕的设计制作提供了新的思路和方法. 展开更多
关键词 浅浮雕 法向图 双边曲面拟合 映射
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Bouncing Ball模型存在马蹄的条件
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作者 贺勤斌 陈芳跃 《浙江师大学报(自然科学版)》 2000年第1期9-13,共5页
对碰撞恢复系数范围为 0 <α≤ 1的“弹跳球 ( Bouncing Ball)”映射 ,给出了马蹄存在的严格条件 ,既解释了 0 <α<1时的数值结果中的混沌现象 ,同时也减弱了当
关键词 弹跳球映射 马蹄 混沌 振幅 动力学性质 振动台
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A MODIS Time Series Data Based Algorithm for Mapping Forest Fire Burned Area 被引量:4
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作者 YANG Wei ZHANG Shuwen +3 位作者 TANG Junmei BU Kun YANG Jiuchun CHANG Liping 《Chinese Geographical Science》 SCIE CSCD 2013年第3期344-352,共9页
Burned area mapping is an essential step in the forest fire research to investigate the relationship between forest fire and cli- mate change and the effect of forest fire on carbon budgets. This study proposed an alg... Burned area mapping is an essential step in the forest fire research to investigate the relationship between forest fire and cli- mate change and the effect of forest fire on carbon budgets. This study proposed an algorithm to map forest fire burned area using the Moderate-Resolution Imaging Spectroradiameter (MODIS) time series data in Heilongjiang Province, China. The algorithm is divided into two steps: Firstly, the 'core' pixels were extracted to represent the most possible burned pixels based on the comparison of the tem- poral change of Global Environmental Monitoring Index (GEMI), Burned Area Index (BAI) and MODIS active fire products between pre- and post-fires. Secondly, a 15-km distance was set to extract the entire burned areas near the 'core' pixels as more relaxed conditions were used to identify the fire pixels for reducing the omission error as much as possible. The algorithm comprehensively considered the thermal characteristics and the spectral change between pre- and post-fires, which are represented by the MODIS fire products and the spectral index, respectively. Tahe, Mohe and Huma counties of Heilongjiang Province, China were chosen as the study area for burned area mapping and a time series of burned maps were produced from 2000 to 2011. The results show that the algorithm can extract burned areas more accurately with the hiehest accuracy of 96.61%. 展开更多
关键词 Burned area mapping Moderate Resolution Imaging Spectroradiameter (MODIS) Global Environmental Monitoring Index(GEMI) Burned Area Index (BAI)
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Invasive Weed Mapping of Lebanon 被引量:1
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作者 Alia H. Sabra Mustapha A. Haidar 《Journal of Agricultural Science and Technology(B)》 2012年第9期1010-1015,共6页
Surveying and early detection of invasive weeds are essential for strategic management and monitoring. Accordingly, a weed mapping was conducted during July 2011, against native (Orobanche ramosa, Cuscuta spp., Sorgh... Surveying and early detection of invasive weeds are essential for strategic management and monitoring. Accordingly, a weed mapping was conducted during July 2011, against native (Orobanche ramosa, Cuscuta spp., Sorghum halepense and Xanthium strumarium) and non native (Abutilon theophrasti, Datura stramonium, Solanum elaeagnifolium and Verbesina encelioide) weeds of Lebanon. A global positioning system (Garmin 2006) was used for precise waypoint, elevation, navigation and distance. The result of interviewing and interacting with the residents in 95 villages distributed between the Beq'aa and the North governorates of Lebanon, along with the observations made on the route, yielded the first detection of Abutilon theophrasti in both governorates. Solanum elaeagnifolium and Verbesina encelioide were not found in the agro-ecosystems of either governorates. This is the first report of the introduction ofAbutilon theophrasti in Lebanon and the establishment of a baseline data on weeds of Lebanon. The adoption of an integrated weed management program with a quarantine and control techniques and methods is needed to manage the spreading of weeds and to lessen their ability to adapt to a constantly changing system which uses several control practices. 展开更多
关键词 Abutilon theophrasti invasive weeds Lebanon weed mapping
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Distinct patterns of monthly Southern Annular Mode events
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作者 Minglin Zheng Xiuzhen Li 《Atmospheric and Oceanic Science Letters》 CSCD 2022年第4期38-43,共6页
The Southern Annular Mode(SAM)is the leading mode of atmospheric variability in the mid–high latitudes of the Southern Hemisphere,representing large-scale variations in pressure and the polar front jet(PFJ).In SAM ev... The Southern Annular Mode(SAM)is the leading mode of atmospheric variability in the mid–high latitudes of the Southern Hemisphere,representing large-scale variations in pressure and the polar front jet(PFJ).In SAM events,the combination of the SAM and other modes may result in different atmospheric patterns.In this study,a neural-network-based cluster technique,the self-organizing map,was applied to extract the distinct patterns of SAM events on the monthly time scale based on geopotential height anomalies at 500 hPa.Four pairs of distinguishable patterns of positive and negative SAM events were identified,representing the diversity in spatial distribution,especially the zonal symmetry of the center of action at high latitudes—that is,symmetric patterns,split-center patterns,West Antarctica patterns,and a tripole pattern.Although the SAM is well known to be beltshaped,within the selected SAM events,the occurrence frequency of symmetric patterns is only 23.8%—less than that of West Antarctica patterns.Diverse PFJ variations were found in the symmetric and asymmetric patterns of SAM events.The more asymmetric the spatial distribution of the pressure anomaly,the more localized the adjusted zonal wind anomaly.The adjusted PFJ varied in meridional displacement and strength in different patterns of SAM events.In addition,the entrance and exit of the jet changed in most of the patterns,especially in the asymmetric patterns,which might result in different climate impacts of the SAM. 展开更多
关键词 Southern Annular Mode Self-organizing map Zonal asymmetry ANTARCTICA
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两个平面映射间的关系及其浑沌性质
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作者 曹进德 李琼 《云南大学学报(自然科学版)》 CAS CSCD 1992年第4期338-341,共4页
本文研究了弹跳球映射和Taylor映射间的关系,指出α=1的弹跳球映射与n=1的Taylor映射在本质上是一致的,然后利用此性质推出:α=I,r>2.5π的弹跳球映射有浑沌现象,而n=1,A≥4.27π的Taylor映射其浑沌集具有双曲结构。
关键词 弹跳球映射 泰勒映射 浑沌 双曲结构 平面映射
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复域上Riccati方程的双周期解 被引量:1
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作者 管克英 陈祖明 《科学通报》 EI CAS CSCD 北大核心 1991年第2期85-87,共3页
本文讨论与复域上周期Riccati方程的周期解有关的一些问题。 1.我们首先研究下面的复值Riccati方程:
关键词 RICCATI方程 周期解 映射
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CR submanifolds in a sphere and their Gauss maps 被引量:1
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作者 CHENG XiaoLiang JI ShanYu LIU WeiMing 《Science China Mathematics》 SCIE 2013年第5期1041-1049,共9页
The relationship between CR submanifolds in a sphere and their Gauss maps are investigated.Let V be the image of a sphere by a rational holomorphic map F with degree two in another sphere.It is show that the Gauss map... The relationship between CR submanifolds in a sphere and their Gauss maps are investigated.Let V be the image of a sphere by a rational holomorphic map F with degree two in another sphere.It is show that the Gauss map of V is degenerate if and only if F is linear fractional. 展开更多
关键词 CR submanifold Gauss maps
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FATOU PROPERTY ON HARMONIC MAPS FROM COMPLETE MANIFOLDS WITH NONNEGATIVE CURVATURE AT INFINITY INTO CONVEX BALLS 被引量:2
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作者 YANG YIHU(Department of Mathematics,Fudan University,Shanghai 200433, China.) 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1995年第3期341-350,共10页
The author considers harmonic maps on complete noncompact manifolds, solves the Dirichlet problem in manifolds with nonnegative sectional curvature out of a compact set, and proves the Fatou theorem for harmonic maps ... The author considers harmonic maps on complete noncompact manifolds, solves the Dirichlet problem in manifolds with nonnegative sectional curvature out of a compact set, and proves the Fatou theorem for harmonic maps into convex balls. 展开更多
关键词 Complete manifold Harmonic map Convex ball Fatou property.
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High precision landing site mapping and rover localization for Chang'e-3 mission 被引量:21
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作者 LIU ZhaoQin DI KaiChang +7 位作者 PENG Man WAN WenHui LIU Bin LI LiChun YU TianYi WANG BaoFeng ZHOU JianLiang CHEN HongMin 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2015年第1期139-149,共11页
This paper presents the comprehensive results of landing site topographic mapping and rover localization in Chang’e-3 mission.High-precision topographic products of the landing site with extremely high resolutions(up... This paper presents the comprehensive results of landing site topographic mapping and rover localization in Chang’e-3 mission.High-precision topographic products of the landing site with extremely high resolutions(up to 0.05 m)were generated from descent images and registered to CE-2 DOM.Local DEM and DOM with 0.02 m resolution were produced routinely at each waypoint along the rover traverse.The lander location was determined to be(19.51256°W,44.11884°N,-2615.451 m)using a method of DOM matching.In order to reduce error accumulation caused by wheel slippage and IMU drift in dead reckoning,cross-site visual localization and DOM matching localization methods were developed to localize the rover at waypoints;the overall traveled distance from the lander is 114.8 m from cross-site visual localization and 111.2 m from DOM matching localization.The latter is of highest accuracy and has been verified using a LRO NAC image where the rover trajeactory is directly identifiable.During CE-3 mission operations,landing site mapping and rover localization products including DEMs and DOMs,traverse maps,vertical traverse profiles were generated timely to support teleoperation tasks such as obstacle avoidance and rover path planning. 展开更多
关键词 Chang'e-3 Yutu rover landing site mapping rover localization descent camera navigation camera
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A proof of a weak version of the Bieberbach conjecture in several complex variables 被引量:9
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作者 LIU XiaoSong LIU TaiShun XU QingHua 《Science China Mathematics》 SCIE CSCD 2015年第12期2531-2540,共10页
In this paper, the sharp estimates of all homogeneous expansions for a subclass of starlike mappings on the unit ball in complex Banach spaces are first established. Meanwhile, the sharp estimates of all homogeneous e... In this paper, the sharp estimates of all homogeneous expansions for a subclass of starlike mappings on the unit ball in complex Banach spaces are first established. Meanwhile, the sharp estimates of all homogeneous expansions for the above generalized mappings on the unit polydisk in Cnare also obtained. Our results show that a weak version of the Bieberbach conjecture in several complex variables is proved, and the obtained conclusions reduce to the classical results in one complex variable. 展开更多
关键词 Bieberbach conjecture homogeneous expansion k-fold symmetric mapping a zero of order k 1 starlike mapping
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Research on the transfers to Halo orbits from the view of invariant manifolds 被引量:4
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作者 XU Ming TAN Tian XU ShiJie 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2012年第4期671-683,共13页
This paper discusses the evolutions of invariant manifolds of Halo orbits by low-thrust and lunar gravity. The possibility of applying all these manifolds in designing low-thrust transfer, and the presence of single-i... This paper discusses the evolutions of invariant manifolds of Halo orbits by low-thrust and lunar gravity. The possibility of applying all these manifolds in designing low-thrust transfer, and the presence of single-impulse trajectories under lunar gravity are also explained. The relationship between invafiant manifolds and the altitude of the perigee is investigated using a Poincare map. Six types of single-impulse transfer trajectories are then attained from the geometry of the invariant manifolds. The evolutions of controlled manifolds are surveyed by the gradient law of Jacobi energy, and the following conclusions are drawn. First, the low thrust (acceleration or deceleration) near the libration point is very inefficient that the spacecraft free-flies along the invariant manifolds. The purpose is to increase its velocity and avoid stagnation near the libration point. Second, all con- trolled manifolds are captured because they lie inside the boundary of Eatlh's gravity trap in the configuration space. The evo- lutions of invariant manifolds under lunar gravity are indicated from the relationship between the lunar phasic angle and the altitude of the perigee. Third and last, most of the manifolds have preserved their topologies in the circular restricted three-body problem. However, the altitudes of the perigee of few manifolds are quite non-continuous, which can be used to generate single-impulse flyby trajectories. 展开更多
关键词 libration point Halo orbit transfer trajectory invariant manifolds low thrust lunar perturbation
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On Extension of 1-Lipschitz Mappings between Two Unit Spheres of ~p(Γ) Type Spaces(1 被引量:1
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作者 方习年 《Journal of Mathematical Research and Exposition》 CSCD 2009年第4期687-692,共6页
Let T be a mapping from the unit sphere S[l^p(Г)] into S[l^p(△)] of two atomic AL^p- spaces. We prove that if T is a 1-Lipschitz mapping such that -T[S[l^p(Г)]] belong to T[S[l^p(Г)]], then T can be linear... Let T be a mapping from the unit sphere S[l^p(Г)] into S[l^p(△)] of two atomic AL^p- spaces. We prove that if T is a 1-Lipschitz mapping such that -T[S[l^p(Г)]] belong to T[S[l^p(Г)]], then T can be linearly isometrically extended to the whole space for p 〉 2; if T is injective and the inverse mapping T^-1 is a 1-Lipschitz mapping, then T can be extended to be a linear isometry from l^p(Г) into l^p(△) for 1 〈 p ≤ 2. 展开更多
关键词 1-Lipschitz mapping l6p(Г) type space isometric extension.
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The isometrical extensions of 1-Lipschitz mappings on Gteaux differentiability spaces 被引量:2
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作者 DING GuangGui 《Science China Mathematics》 SCIE 2011年第4期711-722,共12页
Let X and Y be real Banach spaces.Suppose that the subset sm[S1(X)] of the smooth points of the unit sphere [S1(X)] is dense in S1(X).If T0 is a surjective 1-Lipschitz mapping between two unit spheres,then,under some ... Let X and Y be real Banach spaces.Suppose that the subset sm[S1(X)] of the smooth points of the unit sphere [S1(X)] is dense in S1(X).If T0 is a surjective 1-Lipschitz mapping between two unit spheres,then,under some condition,T0 can be extended to a linear isometry on the whole space. 展开更多
关键词 1-Lipschitz mapping linearly isometric extension Ga teaux differentiability space smooth point
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A global empirical model for mapping zenith wet delays onto precipitable water vapor using GGOS Atmosphere data 被引量:6
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作者 YAO YiBin XU ChaoQian +1 位作者 ZHANG Bao CAO Na 《Science China Earth Sciences》 SCIE EI CAS CSCD 2015年第8期1361-1369,共9页
The importance of water vapor in research of global climate change and weather forecast cannot be over emphasized; therefore substantial efforts have been made in exploring the optimal methods to measure water vapor. ... The importance of water vapor in research of global climate change and weather forecast cannot be over emphasized; therefore substantial efforts have been made in exploring the optimal methods to measure water vapor. It is well-established that with a conversion factor, zenith wet delays can be mapped onto precipitable water vapor (PWV). However, the determination of the exact conversion factor depends heavily on the accurate calculation of a key variable, weighted mean temperature of the trop- osphere (Tin). AS a critical parameter in Global Positioning System (GPS) meteorology, Tm has recently been modeled into a global grid known as GWMT. The GWMT model only requires the location and the day of year to calculate Tm. Despite the advantages that the GWMT model offers, anomalies still exist in oceanic areas due to low sampling resolution. In this study, we refine the GWMT model by incorporating the global Tm grid from Global Geodetic Observing System (GGOS) and obtain an improved model, GWMT-G. The results indicate that the GWMT-G model successfully addresses the anomaly in oceanic areas in the GWMT model and significantly improves the accuracy of Tm in other regions. 展开更多
关键词 GPS meteorology zenith wet delay GWMT model GWMT-G model GGOS
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