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Emergent behaviors in group ring flocks
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ha, Seung-Yeal | - |
dc.contributor.author | Park, Hansol | - |
dc.date.accessioned | 2023-12-11T00:42:09Z | - |
dc.date.available | 2023-12-11T00:42:09Z | - |
dc.date.created | 2021-09-28 | - |
dc.date.issued | 2021-12 | - |
dc.identifier.citation | Quarterly of Applied Mathematics, Vol.79 No.4, pp.617-640 | - |
dc.identifier.issn | 0033-569X | - |
dc.identifier.uri | https://hdl.handle.net/10371/197693 | - |
dc.description.abstract | In this paper, we present a first-order aggregation model on a group ring and investigate its asymptotic dynamics. In a positive coupling strength regime, we show that the flow generated by the proposed model approaches to an equilibrium manifold asymptotically using a nonlinear functional and LaSalle invariance principle. Moreover, we also verify that equilibrium manifold's structure is strongly dependent on the structure of an underlying group structure. | - |
dc.language | 영어 | - |
dc.publisher | Brown University | - |
dc.title | Emergent behaviors in group ring flocks | - |
dc.type | Article | - |
dc.identifier.doi | 10.1090/qam/1595 | - |
dc.citation.journaltitle | Quarterly of Applied Mathematics | - |
dc.identifier.wosid | 000695475300003 | - |
dc.identifier.scopusid | 2-s2.0-85115114095 | - |
dc.citation.endpage | 640 | - |
dc.citation.number | 4 | - |
dc.citation.startpage | 617 | - |
dc.citation.volume | 79 | - |
dc.description.isOpenAccess | Y | - |
dc.contributor.affiliatedAuthor | Ha, Seung-Yeal | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.subject.keywordPlus | PHASE-LOCKED STATES | - |
dc.subject.keywordPlus | KURAMOTO MODEL | - |
dc.subject.keywordPlus | ORBITAL STABILITY | - |
dc.subject.keywordPlus | SYNCHRONIZATION | - |
dc.subject.keywordPlus | DYNAMICS | - |
dc.subject.keywordPlus | OSCILLATORS | - |
dc.subject.keywordPlus | POPULATIONS | - |
dc.subject.keywordPlus | CONSENSUS | - |
dc.subject.keywordPlus | SYSTEMS | - |
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