Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 박진영 | - |
dc.date.accessioned | 2019-11-19T07:53:45Z | - |
dc.date.available | 2019-11-19T07:53:45Z | - |
dc.date.issued | 2017-01 | - |
dc.identifier.citation | QUARTERLY OF APPLIED MATHEMATICS, v. 75, no. 1, page. 39-68 | en_US |
dc.identifier.issn | 0033-569X | - |
dc.identifier.issn | 1552-4485 | - |
dc.identifier.uri | http://www.ams.org/journals/qam/2017-75-01/S0033-569X-2016-01448-3/ | - |
dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/112484 | - |
dc.description.abstract | We study the emergence of partial locking states for a subsystem whose dynamics is governed by the Winfree model. The Winfree model is the first mathematical model for synchronization. Thanks to the lack of conservation laws except for the number of oscillators, it exhibits diverse asymptotic nonlinear patterns such as partial and complete phase locking, partial and complete oscillator death, and incoherent states. In this paper, we present two sufficient frameworks for a majority sub-ensemble to evolve to the phase-locked state asymptotically. Our sufficient frameworks are characterized in terms of the mass ratio of the subsystem compared to the total system, ratio of the coupling strength to the natural frequencies, and the phase diameter of the subsystem. We also provide several numerical simulations and compare their results to the analytical results. | en_US |
dc.description.sponsorship | The work of the first author was supported by the Samsung Science and Technology Foundation under Project Number SSTF-BA1401-03. The work of the second author was supported by the fellowship of Cheong-Ahm Foundation. The work of the third author was supported by an NRF (National Research Foundation of Korea) grant funded by the Korean government (NRF-2014-Fostering Core Leaders of the Future Basic Science Program). | en_US |
dc.language.iso | en | en_US |
dc.publisher | BROWN UNIV | en_US |
dc.subject | The Kuramoto model | en_US |
dc.subject | partial locking states | en_US |
dc.subject | synchronization | en_US |
dc.subject | the Winfree model | en_US |
dc.title | EMERGENCE OF PARTIAL LOCKING STATES FROM THE ENSEMBLE OF WINFREE OSCILLATORS | en_US |
dc.type | Article | en_US |
dc.relation.no | 1 | - |
dc.relation.volume | 75 | - |
dc.identifier.doi | 10.1090/qam/1448 | - |
dc.relation.page | 39-68 | - |
dc.relation.journal | QUARTERLY OF APPLIED MATHEMATICS | - |
dc.contributor.googleauthor | Ha, Seung-Yeal | - |
dc.contributor.googleauthor | Ko, Dongnam | - |
dc.contributor.googleauthor | Park, Jinyeong | - |
dc.contributor.googleauthor | Ryoo, Sang Woo | - |
dc.relation.code | 2017000998 | - |
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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