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FLOCKING AND PATTERN MOTION IN A MODIFIED CUCKER-SMALE MODEL

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成果类型:
期刊论文
作者:
Li, Xiang*;Liu, Yicheng;Wu, Jun
通讯作者:
Li, Xiang
作者机构:
[Liu, Yicheng; Li, Xiang] Natl Univ Def Technol, Coll Sci, Changsha 410073, Hunan, Peoples R China.
[Wu, Jun] Changsha Univ Sci Technol, Coll Math & Comp Sci, Changsha 410114, Hunan, Peoples R China.
通讯机构:
[Li, Xiang] N
Natl Univ Def Technol, Coll Sci, Changsha 410073, Hunan, Peoples R China.
语种:
英文
关键词:
flocking pattern;self-organizing system;motion pattern;influence function;asymptotic flocking velocity
期刊:
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
ISSN:
1015-8634
年:
2016
卷:
53
期:
5
页码:
1327-1339
基金类别:
This work was partially supported by National Natural Science Foundation of China(NSFC)(11201481 and 11301039). The authors would like to acknowledge Xin Zeng and Ban Wang for helpful discussion.
机构署名:
本校为其他机构
院系归属:
数学与统计学院
摘要:
Self-organizing systems arise very naturally in artificial intelligence, and in physical, biological and social sciences. In this paper, we modify the classic Cucker-Smale model at both microscopic and macro-scopic 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 tha...

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