KMS Of Academy of mathematics and systems sciences, CAS
| Emergence of bi-cluster flocking for agent-based models with unit speed constraint | |
Cho, Junghee1; Ha, Seung-Yeal2; Huang, Feimin3,4 ; Jin, Chunyin3,4; Ko, Dongnam1
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| 2016 | |
| Source Publication | ANALYSIS AND APPLICATIONS
 |
| ISSN | 0219-5305 |
| Volume | 14Issue:1Pages:39-73 |
| Abstract | 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. |
| Keyword | Bi-cluster flocking continuity argument Cucker-Smale model local flocking Lyapunov functional approach |
| DOI | 10.1142/S0219530515400023 |
| Language | 英语 |
| Funding Project | NRF-NSFC |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000371080500003 |
| Publisher | WORLD SCIENTIFIC PUBL CO PTE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/22144 |
| Collection | 应用数学研究所 |
| Corresponding Author | Cho, Junghee; Ha, Seung-Yeal; Huang, Feimin; Jin, Chunyin; Ko, Dongnam |
| Affiliation | 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 |
| Recommended Citation 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. |
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