Emergence of bi-cluster flocking for agent-based models with unit speed constraint

doi:10.1142/S0219530515400023

CSpace > 应用数学研究所

	Emergence of bi-cluster flocking for agent-based models with unit speed constraint
	Cho, Junghee 1; Ha, Seung-Yeal 2; Huang, Feimin3,4 ; Jin, Chunyin 3,4; Ko, Dongnam 1
	2016
发表期刊	ANALYSIS AND APPLICATIONS
ISSN	0219-5305
卷号	14 期号:1 页码:39-73
摘要	We study the emergence of bi-cluster flocking for a generalized Justh-Krishnaprasad (J-K) model and the Cucker-Smale (C-S) model with the unit speed constraint. We provide a sufficient framework for the emergence of bi-cluster flocking in terms of initial configurations and communication weights between agents. Our analytical results on bi-cluster flocking illustrate that the spatial-decay rate of communication weights is transferred to the temporal decay rate toward the bi-cluster flocking configuration. We also provide several numerical simulations and compare them to our analytical results.
关键词	Bi-cluster flocking continuity argument Cucker-Smale model local flocking Lyapunov functional approach
DOI	10.1142/S0219530515400023
语种	英语
资助项目	NRF-NSFC
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000371080500003
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22144
专题	应用数学研究所
通讯作者	Cho, Junghee; Ha, Seung-Yeal; Huang, Feimin; Jin, Chunyin; Ko, Dongnam
作者单位	1.Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea 2.Seoul Natl Univ, Inst Math, Dept Math Sci & Res, Seoul 151747, South Korea 3.Acad Sinica, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 4.Beijing Ctr Math & Informat Sci, Beijing 100048, Peoples R China
推荐引用方式 GB/T 7714	Cho, Junghee,Ha, Seung-Yeal,Huang, Feimin,et al. Emergence of bi-cluster flocking for agent-based models with unit speed constraint[J]. ANALYSIS AND APPLICATIONS,2016,14(1):39-73.
APA	Cho, Junghee,Ha, Seung-Yeal,Huang, Feimin,Jin, Chunyin,&Ko, Dongnam.(2016).Emergence of bi-cluster flocking for agent-based models with unit speed constraint.ANALYSIS AND APPLICATIONS,14(1),39-73.
MLA	Cho, Junghee,et al."Emergence of bi-cluster flocking for agent-based models with unit speed constraint".ANALYSIS AND APPLICATIONS 14.1(2016):39-73.