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| 各向异性的群集行为分析 | |
| 引用本文： | 毛学志,徐勇,刘建平,马会泉.各向异性的群集行为分析[J].系统科学与数学,2011,31(8). |
| 作者姓名： | 毛学志 徐勇 刘建平 马会泉 |
| 作者单位： | 1. 河北科技师范学院数学与信息科技学院,秦皇岛066004;河北工业大学理学院,天津300401 2. 河北工业大学理学院,天津,300401 3. 河北科技师范学院数学与信息科技学院,秦皇岛,066004 |
| 基金项目： | 河北科技师范学院科研创新团队建设项目(CXTD2010-05) |
| 摘 要： | 探究欧氏空间中一类具有吸引/排斥函数的各向异性群集系统的集结属性,将个体间的耦合矩阵进行了一定的推广.该模型的耦合矩阵更具普遍意义.结果表明:在耦合权值满足一定平衡条件的情况下,群集成员将在有限时间内聚集并形成一个以群集的加权中心为球心的紧凑的有界群体.仿真实例进一步表明了群集个体最终进入并驻留在群集加权中心的有界区域内. |
| 关 键 词： | 群集 各向异性 耦合矩阵 聚集 |
ANALYSIS OF ANISOTROPIC SWARM BEHAVIOR |
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| MAO Xuezhi , XU Yong , LIU Jianping , MA Huiquan.ANALYSIS OF ANISOTROPIC SWARM BEHAVIOR[J].Journal of Systems Science and Mathematical Sciences,2011,31(8). | |
| Authors: | MAO Xuezhi XU Yong LIU Jianping MA Huiquan |
| Institution: | MAO Xuezhi (College of Mathematics and Information Technology,Hebei Normal University of Science and Technology,Qinhuangdao 066004,School of Science,Hebei University of Technology,Tianjin 300401) XU Yong (School of Science,Tianjin 300401) LIU Jianping (College of Mathematics and Information Technology,Qinhuangdao 066004) MA Huiquan (College of Mathematics and Information Technology,Hebei Normal University of Science and Techno... |
| Abstract: | In this paper an anisotropic swarm model with an attraction/repulsion function in Euclidean space is developed.It is shown that the swarm members will aggregate and eventually form a cohesive cluster with finite size around weighted center of swarm in finite time if coupling weights satisfy some balance condition.Simulation shows that the swarm members will eventually enter and stay in the bounded region around weighted center of swarm. |
| Keywords: | Swarms anisotropic coupling matrix aggregation |
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