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Collective behaviors of the Lohe Hermitian sphere model with inertia
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ha, Seung-Yeal | - |
dc.contributor.author | Kang, Myeongju | - |
dc.contributor.author | Park, Hansol | - |
dc.date.accessioned | 2023-07-03T06:42:47Z | - |
dc.date.available | 2023-07-03T06:42:47Z | - |
dc.date.created | 2021-08-23 | - |
dc.date.created | 2021-08-23 | - |
dc.date.created | 2021-08-23 | - |
dc.date.created | 2021-08-23 | - |
dc.date.created | 2021-08-23 | - |
dc.date.issued | 2021-08 | - |
dc.identifier.citation | Communications on Pure and Applied Analysis, Vol.20 No.7-8, pp.2613-2641 | - |
dc.identifier.issn | 1534-0392 | - |
dc.identifier.uri | https://hdl.handle.net/10371/194640 | - |
dc.description.abstract | We present a second-order extension of the first-order Lohe Hermitian sphere (LHS) model and study its emergent asymptotic dynamics. Our proposed model incorporates an inertial effect as a second-order extension. The inertia term can generate an oscillatory behavior of particle trajectory in a small time interval(initial layer) which causes a technical difficulty for the application of monotonicity-based arguments. For emergent estimates, we employ two-point correlation function which is defined as an inner product between positions of particles. For a homogeneous ensemble with the same frequency matrix, we provide two sufficient frameworks in terms of system parameters and initial data to show that two-point correlation functions tend to the unity which is exactly the same as the complete aggregation. In contrast, for a heterogeneous ensemble with distinct frequency matrices, we provide a sufficient framework in terms of system parameters and initial data, which makes two-point correlation functions be close to unity by increasing the principal coupling strength. | - |
dc.language | 영어 | - |
dc.publisher | American Institute of Mathematical Sciences | - |
dc.title | Collective behaviors of the Lohe Hermitian sphere model with inertia | - |
dc.type | Article | - |
dc.identifier.doi | 10.3934/cpaa.2021046 | - |
dc.citation.journaltitle | Communications on Pure and Applied Analysis | - |
dc.identifier.wosid | 000684207400010 | - |
dc.identifier.scopusid | 2-s2.0-85105474601 | - |
dc.citation.endpage | 2641 | - |
dc.citation.number | 7-8 | - |
dc.citation.startpage | 2613 | - |
dc.citation.volume | 20 | - |
dc.description.isOpenAccess | Y | - |
dc.contributor.affiliatedAuthor | Ha, Seung-Yeal | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.subject.keywordPlus | KURAMOTO MODEL | - |
dc.subject.keywordPlus | SYNCHRONIZATION | - |
dc.subject.keywordPlus | POPULATIONS | - |
dc.subject.keywordPlus | PARTICLE | - |
dc.subject.keywordAuthor | Kuramoto model | - |
dc.subject.keywordAuthor | Lohe sphere model | - |
dc.subject.keywordAuthor | phase locked states | - |
dc.subject.keywordAuthor | Emergence | - |
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