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5∶3内共振轨道的非线性动力学研究
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作者 周毅 张伟 《动力学与控制学报》 2023年第3期37-43,共7页
在平面圆型限制性三体模型基础上,详细研究了处于5∶3内共振的二阶共振轨道的动力学特性和演化.计算并得到了处于精确共振时的临界半长轴、临界偏心率和共振角与相位之间的关系.计算获得了(θ,a)平面上的庞加莱截面,系统地分析了偏心率... 在平面圆型限制性三体模型基础上,详细研究了处于5∶3内共振的二阶共振轨道的动力学特性和演化.计算并得到了处于精确共振时的临界半长轴、临界偏心率和共振角与相位之间的关系.计算获得了(θ,a)平面上的庞加莱截面,系统地分析了偏心率、初始位置对于二阶共振轨道拓扑结构的动力学影响,解释了共振岛屿数量的转迁过程.利用庞加莱截面得到了一些经典轨道,如周期、概周期和混沌轨道,研究了小天体轨道的演化过程.在(θ,e,a)空间内生成共振域,得到了可视化的稳定域和混沌域. 展开更多
关键词 平运动共振 庞加莱截面 周期轨道 混沌
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C-半群的弱概周期性
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作者 谢灵红 李明奇 《电子科技大学学报》 EI CAS CSCD 北大核心 2004年第2期218-220,共3页
假设在有界C-半群的概轨道()u的轨迹在Banach空间X中是弱紧的条件下,研究了C-半群的弱概周期性,得到了()Cu是弱概周期的;特别在X是自反的Banach空间的情况下,不用其假设条件也能获得同样的结论;相应获得了有界C-半群点的弱概周期。
关键词 C-半群 概轨道 周期 周期
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C-半群的渐近概周期运动
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作者 陈闯 宋晓秋 《应用泛函分析学报》 CSCD 2009年第3期240-245,共6页
讨论了Banach空间上C-半群的渐近概周期(AAP)运动,给出C-半群的渐近概周期运动的若干等价条件,进而得到C-半群的弱渐近概周期(WAAP)运动的等价条件.
关键词 C-半群 概轨道 Hille-Yosida空间 渐近周期运动
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周期微分系统的马蹄不变集的非概周期性及双向渐近性
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作者 李继彬 王震 《昆明理工大学学报(自然科学版)》 CAS 1989年第5期87-91,共5页
用(∑_2,σ)表示符号动力系统,∧表示周期受迫的非线性系统的Smlale马蹄型不变集。本文第一部分的结果,是考虑(∑_2,σ)的概周期点及微分系统的概周期轨道间的不同定义与关系。第二部分讨论(∑_2,σ)的渐近周期点与微分系统的同宿或异... 用(∑_2,σ)表示符号动力系统,∧表示周期受迫的非线性系统的Smlale马蹄型不变集。本文第一部分的结果,是考虑(∑_2,σ)的概周期点及微分系统的概周期轨道间的不同定义与关系。第二部分讨论(∑_2,σ)的渐近周期点与微分系统的同宿或异宿轨道之间的关系。 展开更多
关键词 周期轨道 周期轨道 同宿或异宿点 马蹄不变集
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Trajectory planning of mobile manipulators in constrained workspace
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作者 付宜利 闫庆辉 马玉林 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2008年第4期521-524,共4页
The cooperative motion planning of nonholonomic wheeled mobile manipulators (WMM) with kinematic redundaney in the constrained workspace was studied. A trajectory planning method combining the probabilistic planning... The cooperative motion planning of nonholonomic wheeled mobile manipulators (WMM) with kinematic redundaney in the constrained workspace was studied. A trajectory planning method combining the probabilistic planning and the solving of inverse kinematic equations was presented. First, the probabilistie planning method was used to determine the guide configurations; then the switching objective function was defined and the path of the end-effector was constructed based on these guide configurations ; finally, the inverse kinematic equations of the WMM were solved using the gradient projection method, and the obstacle avoidance trajectory for joints of the WMM was obtained. Simulation results were given to demonstrate the effectiveness of the proposed method. 展开更多
关键词 wheeled mobile manipulators constrained workspace probabilistic planning guide configurations trajectory planning
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C-半群的弱渐近概周期运动 被引量:3
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作者 陈闯 宋晓秋 《系统科学与数学》 CSCD 北大核心 2009年第5期657-662,共6页
讨论了Bnanch空间上C-半群的弱渐近概周期(WAAP)运动,进而得到其表示定理和扰动定理.
关键词 C-半群 概轨道 Hille-Yosida空间 弱渐近周期性.
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Coverage-based cooperative target acquisition for hypersonic interceptions 被引量:9
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作者 ZHOU Jin LEI HuMin 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2018年第10期1575-1587,共13页
This paper presents a novel coverage-based cooperative target acquisition algorithm for hypersonic interceptions. Firstly, the difficulties in the hypersonic trajectory prediction are introduced which invalidate the c... This paper presents a novel coverage-based cooperative target acquisition algorithm for hypersonic interceptions. Firstly, the difficulties in the hypersonic trajectory prediction are introduced which invalidate the conventionally used predicted impact point based mid-course guidance and seeker acquisition. Secondly, in order to optimally estimate and predict the target trajectory information, the interacting multiple model(IMM) algorithm is used with the constant velocity(CV) model, the constant acceleration(CA) model and the Singer model serving as the model set. The target states are described with the probability density function(PDF) based on the IMM prediction. Thirdly, the interceptor seeker target acquisition model is established which considers the blur edge region of the field of view. The cooperative target acquisition algorithm is designed by maximizing the interceptor seekers cooperative coverage of the target high probability region(HPR). Finally, digital simulations prove the effectiveness of the proposed method and reveal that the real challenge in the hypersonic target acquisition is the poor trajectory prediction accuracy which may further result to the unsteadiness of the interceptor trajectories. 展开更多
关键词 cooperative coverage target acquisition hypersonic interception IMM trajectory prediction midcourse guidance
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Increased rigidly triaxial deformations in neutron-rich Mo, Ru isotopes
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作者 WuYang Liang ChangFeng Jiao +1 位作者 FuRong Xu XiMing Fu 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2016年第9期59-63,共5页
Pairing-deformation-frequency self-consistent cranking Woods-Saxon model is employed to investigate the triaxiality in the ground states of the neutron-rich even-even Mo, Ru isotopes. Deformation evolutions and transi... Pairing-deformation-frequency self-consistent cranking Woods-Saxon model is employed to investigate the triaxiality in the ground states of the neutron-rich even-even Mo, Ru isotopes. Deformation evolutions and transition probabilities have been studied, giving the triaxial shapes in their ground states. The kinematic moments of inertia have been calculated to illustrate the gradually rigid deformation. To understand the origin of the asymmetry shape in this region, we analyze the evolution of single-particle orbits with changing 3, deformation. The present calculations reveal the importance of the triaxial deformation in describing not only static property, but also rotational behaviors in this mass region, providing significant probes into the shell structure around. 展开更多
关键词 γ deformation transition probability moments of inertia
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