DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ha, Seung-Yeal | ko |
dc.contributor.author | Park, Hansol | ko |
dc.contributor.author | Zhang, Yinglong | ko |
dc.date.accessioned | 2020-10-16T06:55:04Z | - |
dc.date.available | 2020-10-16T06:55:04Z | - |
dc.date.created | 2020-10-06 | - |
dc.date.issued | 2020-09 | - |
dc.identifier.citation | NETWORKS AND HETEROGENEOUS MEDIA, v.15, no.3, pp.427 - 461 | - |
dc.identifier.issn | 1556-1801 | - |
dc.identifier.uri | http://hdl.handle.net/10203/276657 | - |
dc.description.abstract | We study measurable stationary solutions for the kinetic Kuramoto-Sakaguchi (in short K-S) equation with frustration and their stability analysis. In the presence of frustration, the total phase is not a conserved quantity anymore, but it is time-varying. Thus, we can not expect the genuinely stationary solutions for the K-S equation. To overcome this lack of conserved quantity, we introduce new variables whose total phase is conserved. In the transformed K-S equation in new variables, we derive all measurable stationary solution representing the incoherent state, complete and partial phase-locked states. We also provide several frameworks in which the complete phase-locked state is stable, whereas partial phase-locked state is semi-stable in the space of Radon measures. In particular, we show that the incoherent state is nonlinearly stable in a large frustration regime, whereas it can exhibit stable behavior or concentration phenomenon in a small frustration regime. | - |
dc.language | English | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
dc.title | NONLINEAR STABILITY OF STATIONARY SOLUTIONS TO THE KURAMOTO-SAKAGUCHI EQUATION WITH FRUSTRATION | - |
dc.type | Article | - |
dc.identifier.wosid | 000567647900007 | - |
dc.identifier.scopusid | 2-s2.0-85091154926 | - |
dc.type.rims | ART | - |
dc.citation.volume | 15 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 427 | - |
dc.citation.endingpage | 461 | - |
dc.citation.publicationname | NETWORKS AND HETEROGENEOUS MEDIA | - |
dc.identifier.doi | 10.3934/nhm.2020026 | - |
dc.contributor.nonIdAuthor | Ha, Seung-Yeal | - |
dc.contributor.nonIdAuthor | Park, Hansol | - |
dc.description.isOpenAccess | Y | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Kuramoto-Sakaguchi equation | - |
dc.subject.keywordAuthor | frustration | - |
dc.subject.keywordAuthor | stationary solution | - |
dc.subject.keywordAuthor | stability | - |
dc.subject.keywordPlus | PHASE-LOCKED STATES | - |
dc.subject.keywordPlus | SYNCHRONIZATION | - |
dc.subject.keywordPlus | OSCILLATORS | - |
dc.subject.keywordPlus | MODEL | - |
dc.subject.keywordPlus | POPULATION | - |
dc.subject.keywordPlus | ENTRAINMENT | - |
dc.subject.keywordPlus | EMERGENCE | - |
dc.subject.keywordPlus | NETWORKS | - |
dc.subject.keywordPlus | BEHAVIOR | - |
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