A FIRST-ORDER REDUCTION OF THE CUCKER-SMALE MODEL ON THE REAL LINE AND ITS CLUSTERING DYNAMICS
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ha, Seung-Yeal | - |
dc.contributor.author | Park, Jinyeong | - |
dc.contributor.author | Zhang, Xiongtao | - |
dc.date.accessioned | 2022-07-10T08:51:57Z | - |
dc.date.available | 2022-07-10T08:51:57Z | - |
dc.date.created | 2021-05-12 | - |
dc.date.issued | 2019-03 | - |
dc.identifier.issn | 1539-6746 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/148267 | - |
dc.description.abstract | We present a first-order reduction for the Cucker-Smale (C-S) model on the real line, and discuss its clustering dynamics in terms of spatial configurations and system parameters. In previous literature, flocking estimates for the C-S model were mainly focused on the relaxation dynamics of the particle's velocities toward the common velocity. In contrast, the relaxation dynamics of spatial configurations was treated as a secondary issue except for the uniform boundedness of the spatial diameter. In this paper, we first derive a first-order system for the spatial coordinate that can be rewritten as a gradient flow, and then use this first-order formulation to derive several sufficient conditions on the clustering dynamics based on the spatial positions depending on the natural velocities characterized by initial position-velocity configurations. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | INT PRESS BOSTON, INC | - |
dc.title | A FIRST-ORDER REDUCTION OF THE CUCKER-SMALE MODEL ON THE REAL LINE AND ITS CLUSTERING DYNAMICS | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Jinyeong | - |
dc.identifier.doi | 10.4310/CMS.2018.v16.n7.a8 | - |
dc.identifier.scopusid | 2-s2.0-85064518471 | - |
dc.identifier.wosid | 000460549100008 | - |
dc.identifier.bibliographicCitation | COMMUNICATIONS IN MATHEMATICAL SCIENCES, v.16, no.7, pp.1907 - 1931 | - |
dc.relation.isPartOf | COMMUNICATIONS IN MATHEMATICAL SCIENCES | - |
dc.citation.title | COMMUNICATIONS IN MATHEMATICAL SCIENCES | - |
dc.citation.volume | 16 | - |
dc.citation.number | 7 | - |
dc.citation.startPage | 1907 | - |
dc.citation.endPage | 1931 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.subject.keywordPlus | SELF-DRIVEN PARTICLES | - |
dc.subject.keywordPlus | OPINION DYNAMICS | - |
dc.subject.keywordPlus | ASYMPTOTIC FLOCKING | - |
dc.subject.keywordPlus | EMERGENCE | - |
dc.subject.keywordPlus | BEHAVIOR | - |
dc.subject.keywordPlus | LIMIT | - |
dc.subject.keywordPlus | SYNCHRONIZATION | - |
dc.subject.keywordPlus | EXTENSION | - |
dc.subject.keywordPlus | NETWORKS | - |
dc.subject.keywordAuthor | Clustering | - |
dc.subject.keywordAuthor | collective dynamics | - |
dc.subject.keywordAuthor | Cucker-Smale model | - |
dc.subject.keywordAuthor | flocking | - |
dc.subject.keywordAuthor | synchronization | - |
dc.identifier.url | https://www.intlpress.com/site/pub/pages/journals/items/cms/content/vols/0016/0007/a008/ | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
222, Wangsimni-ro, Seongdong-gu, Seoul, 04763, Korea+82-2-2220-1365
COPYRIGHT © 2021 HANYANG UNIVERSITY.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.