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论文摘要

一个包含目标趋向性的增强型Cucker-Smale群体运动模型

An enhanced Cucker-Smale flocking model including the target directed interaction

作者:曾庆荣(四川大学空天科学与工程学院);李鹏飞(四川大学数学学院);季袁冬(四川大学空天科学与工程学院);罗懋康(四川大学数学学院/四川大学空天科学与工程学院)

Author:Zeng Qing-Rong(College of Aerospace Science and Engineering, Sichuan University);Li Peng-Fei(School of Mathematics, Sichuan University);Ji Yuan-Dong(College of Aeronautics and Astronautics, Sichuan University);Luo Mao-Kang(School of Mathematics/College of Aeronautics and Astronautics, Sichuan University)

收稿日期:2019-12-31          年卷(期)页码:2020,57(5):841-846

期刊名称:四川大学学报: 自然科学版

Journal Name:Journal of Sichuan University (Natural Science Edition)

关键字:Cucker-Smale模型;目标趋向;几何邻域;群聚行为

Key words:Cucker-Smale model; Target directed; Geometric neighborhood; Flocking behavior

基金项目:航天科学基金(20170519001)

中文摘要

在生物群集运动中,群成员往往具有共同目的,且仅在局部范围内进行信息交互.鉴于此,本文在描述生物群集运动的Cucker-Smale模型基础上引入目标趋向作用和几何邻域,从而建立了一个增强型Cucker-Smale群体运动模型.结合速度匹配、避免碰撞、群体聚集及趋向目标等4个群体目的,本文建立了相应的效能函数.仿真结果验证了模型的有效性.

英文摘要

In a biological flocking behavior, all group members have a common group target and exchange information only in local range. In this paper, based on the Cucker-Smale flocking model describing the movement of biological flocking behavior, an enhanced Cucker-Smale flocking model is proposed by introducing the target directed interaction and geometric neighborhood. In order to quantity the effectiveness of the model, an evaluation system with four functions, which is the speed matching function, the collision avoidance function, the group aggregation function and the target directed function is defined. The simulation illutrates the effectiveness of the model.

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