Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 박진영 | - |
dc.date.accessioned | 2022-05-18T02:08:14Z | - |
dc.date.available | 2022-05-18T02:08:14Z | - |
dc.date.issued | 2020-09 | - |
dc.identifier.citation | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v. 19, no. 9, page. 4621-4654 | en_US |
dc.identifier.issn | 1534-0392 | - |
dc.identifier.issn | 1553-5258 | - |
dc.identifier.uri | https://www.aimsciences.org/article/doi/10.3934/cpaa.2020209 | - |
dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/170957 | - |
dc.description.abstract | We study the emergent dynamics of the Cucker-Smale (C-S for brevity) ensemble under adaptive couplings. For the adaptive couplings, we basically consider two types of couplings: Hebbian vs. anti-Hebbian. When the Hebbian rule is employed, we present sufficient conditions leading to the mono-cluster flocking using the Lyapunov functional approach. On the other hand, for the anti-Hebbian rule, the possibility of mono-cluster flocking mainly depends on the integrability of the communication weight function and the regularity of the adaptive law at the origin. In addition, we perform numerical experiments and compare them with our analytic results. | en_US |
dc.description.sponsorship | The work of S.-Y. Ha is partially supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIP) (No. 2017R1A5A1015626), the work of D. Kim was supported by National Institute for Mathematical Sciences (NIMS) grant funded by the Korea government (MSIT) (No.B20900000) and the work of J. Park has been supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (NRF-2018R1C1B5043861). | en_US |
dc.language.iso | en | en_US |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | en_US |
dc.subject | Adaptive coupling | en_US |
dc.subject | collective behavior | en_US |
dc.subject | Cucker-Smale model | en_US |
dc.subject | emergence | en_US |
dc.subject | flocking | en_US |
dc.subject | Hebbian learning | en_US |
dc.title | FAST AND SLOW VELOCITY ALIGNMENTS IN A CUCKER-SMALE ENSEMBLE WITH ADAPTIVE COUPLINGS | en_US |
dc.type | Article | en_US |
dc.relation.no | 9 | - |
dc.relation.volume | 19 | - |
dc.identifier.doi | 10.3934/cpaa.2020209 | - |
dc.relation.page | 4621-4654 | - |
dc.relation.journal | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | - |
dc.contributor.googleauthor | Ha, Seung-Yeal | - |
dc.contributor.googleauthor | Kim, Dohyun | - |
dc.contributor.googleauthor | Park, Jinyeong | - |
dc.relation.code | 2020050841 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
dc.identifier.pid | jinyeongpark | - |
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