| 引用本文: | 刘易成,李翔,聂芬.具有空间坐标耦合的二阶集群模型分析.[J].国防科技大学学报,2017,39(6):118-125.[点击复制] |
| LIU Yicheng,LI Xiang,NIE Fen.Analysis for second-order collective model with spatial coordinates coupling[J].Journal of National University of Defense Technology,2017,39(6):118-125[点击复制] |
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| 具有空间坐标耦合的二阶集群模型分析 |
| 刘易成, 李翔, 聂芬 |
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(国防科技大学 文理学院， 湖南 长沙 410073)
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| 摘要: |
| 在空间坐标耦合的情形下建立一种改进的二阶分布式集群模型。分析结果显示, 如果系统的拓扑结构不变, 当其确定的有向图具有有向支撑树并且速度的伴随系数大于某一临界值时, 整个群体将随着耦合矩阵的旋转角的变化而呈现出三种集群样式——直线模式、圆柱螺线模式以及对数螺线模式。最后给出了这三种样式所对应的数值仿真结果。 |
| 关键词: 空间坐标耦合 一致集群 弱集群 集群模式 圆柱螺线 |
| DOI：10.11887/j.cn.201706018 |
| 投稿日期：2016-08-02 |
| 基金项目:国家自然科学基金资助项目（11201481，11401577） |
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| Analysis for second-order collective model with spatial coordinates coupling |
| LIU Yicheng, LI Xiang, NIE Fen |
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(College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China)
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| Abstract: |
| A second-order distributed collective model with spatial coordinates coupling was established. Analysis results show that: if the topology structure of the system is unchanged, the system graph has a directed spanning tree and the speed parameter is over the critical value, the system will present three flocking patterns with the rotation angle variation of coupling matrix—linear pattern, cylindrical spiral pattern, logarithmic spiral pattern. Some simulations for these three patterns were carried out in the last section. |
| Keywords: spatial coordinates coupling uniformly flocking weak flocking flocking pattern cylindrical spiral |
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