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DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 7939 | - |
dc.citation.number | 12 | - |
dc.citation.startPage | 7897 | - |
dc.citation.title | JOURNAL OF DIFFERENTIAL EQUATIONS | - |
dc.citation.volume | 268 | - |
dc.contributor.author | Hsia, Chun-Hsiung | - |
dc.contributor.author | Jung, Chang-Yeol | - |
dc.contributor.author | Kwon, Bongsuk | - |
dc.contributor.author | Ueda, Yoshihiro | - |
dc.date.accessioned | 2023-12-21T17:37:03Z | - |
dc.date.available | 2023-12-21T17:37:03Z | - |
dc.date.created | 2020-02-20 | - |
dc.date.issued | 2020-06 | - |
dc.description.abstract | We investigate the synchronized collective behavior of the Kuramoto oscillators with time-delayed interactions and phase lag effect. Both the phase and frequency synchronization are in view. We first prove the frequency synchronization for both semi-delay and full-delay models with heterogeneous time-delays and phase lags. We also prove the complete and partial phase synchronization for both models with the uniform time-delay and phase lag. Our results show that the Kuramoto models incorporated with small variation of time-delays and/or phase lag effect still exhibit the synchronization. These support that the original Kuramoto model (i.e., no time-delays/phase lags) is qualitatively robust in the perturbation of time-delay and phase lag effects. We also present several numerical experiments supporting our main results. © 2019 Elsevier Inc. | - |
dc.identifier.bibliographicCitation | JOURNAL OF DIFFERENTIAL EQUATIONS, v.268, no.12, pp.7897 - 7939 | - |
dc.identifier.doi | 10.1016/j.jde.2019.11.090 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.scopusid | 2-s2.0-85076251191 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/31227 | - |
dc.identifier.url | https://www.sciencedirect.com/science/article/pii/S0022039619306242?via%3Dihub | - |
dc.identifier.wosid | 000520930900022 | - |
dc.language | 영어 | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Synchronization of Kuramoto oscillators with time-delayed interactions and phase lag effect | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.type.docType | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | Kuramoto model | - |
dc.subject.keywordAuthor | Frequency synchronization | - |
dc.subject.keywordAuthor | Phase synchronization | - |
dc.subject.keywordAuthor | Time-delay interactions | - |
dc.subject.keywordAuthor | Phase lag | - |
dc.subject.keywordAuthor | Complete and partial synchronization | - |
dc.subject.keywordPlus | LIMIT-CYCLE OSCILLATORS | - |
dc.subject.keywordPlus | COUPLED OSCILLATORS | - |
dc.subject.keywordPlus | MODEL | - |
dc.subject.keywordPlus | POPULATIONS | - |
dc.subject.keywordPlus | NETWORKS | - |
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