Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 박진영 | - |
dc.date.accessioned | 2018-02-08T06:34:51Z | - |
dc.date.available | 2018-02-08T06:34:51Z | - |
dc.date.issued | 2016-03 | - |
dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS, v. 260, NO 5, Page. 4203-4236 | en_US |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.issn | 1090-2732 | - |
dc.identifier.uri | http://www.sciencedirect.com/science/article/pii/S0022039615006142?via%3Dihub | - |
dc.identifier.uri | http://hdl.handle.net/20.500.11754/36271 | - |
dc.description.abstract | The Winfree model is the first mathematical model for synchronization of weakly coupled oscillators. Compared to the well-known Kuramoto model, the Winfree model does not conserve the total phase. This leads to rich dynamic features compared to those produced by other phase models. In this paper, we study the emergent dynamics of the Winfree model on a locally coupled static network. A randomly chosen phase configuration undergoes several dynamic phase transitions such as incoherence, partial locking, complete locking, partial oscillator death, and complete oscillator death, as the coupling strength increases. We provide several rigorous analytical results on the emergence of these dynamic features. We also provide several numerical simulations and compare their results to the analytical results. (C) 2015 Elsevier Inc. All rights reserved. | en_US |
dc.description.sponsorship | The work of S.-Y. Ha is supported by a NRF grant (2011-0015388) and the work of J. Park was supported by a NRF (National Research Foundation of Korea) grant funded by the Korean Government (NRF-2014-Fostering Core Leaders of the Future Basic Science Program, NRF-2014H1A8A1019153). | en_US |
dc.language.iso | en | en_US |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | en_US |
dc.subject | Oscillator death | en_US |
dc.subject | Phase model | en_US |
dc.subject | Phase-locked state | en_US |
dc.subject | Synchronization | en_US |
dc.subject | Winfree model | en_US |
dc.title | Emergent dynamics of Winfree oscillators on locally coupled networks | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1016/j.jde.2015.11.008 | - |
dc.relation.journal | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
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 | 2016000862 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
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