报告人:刘易成
报告时间:12月14日(周六)10:00
工作单位:国防科技大学
报告地点:数学院南阶
报告摘要:
Self-organizing systems arise very naturally in artificial intelligence, and in physical, biological and social sciences. In this talk, we pay attention to the classic Cucker-Smale model at both microscopic and macroscopic levels by taking the target motion pattern driving forces into consideration. Such target motion pattern driving force functions are properly defined for the line-shaped motion pattern and the ball-shaped motion pattern. For the modified Cucker-Smale model with the prescribed line-shaped motion pattern, we have analytically shown that there is a flocking pattern with an asymptotic flocking velocity. This is illustrated by numerical simulations using both symmetric and non-symmetric pairwise influence functions. For the modified Cucker-Smale model with the prescribed ball-shaped motion pattern, our simulations suggest that the solution also converges to the prescribed motion pattern. This is a joint work with Jianhong Wu.
报告人简介:
刘易成,国防科技大学教授,博士生导师,《Mathematical Reviewer》评论员;湖南省数学学会理事。2010年全国优秀博士论文提名论文作者。现从事时滞自组织系统的集群理论研究,主持国家自然科学基金面上项目、军内科研重点基金项目、国家自然科学基金青年项目、湖南省自然科学基金等项目;作为主要研究人员参与装备预研重点基金项目、国家自然科学基金、海外合作基金等项目。出版专著1部,教材1部;多篇学术论文入选高被引论文。曾受邀赴美国加州大学洛杉矶分校、加拿大约克大学、澳大利亚国立大学、新西兰奥克兰大学学术访问或合作研究。