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Remarks on the Schrodinger-Lohe model : 슈뢰딩거-로헤 모델에 대한 고찰
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 하승열 | - |
dc.contributor.author | 성인영 | - |
dc.date.accessioned | 2018-12-03T01:50:54Z | - |
dc.date.available | 2018-12-03T01:50:54Z | - |
dc.date.issued | 2018-08 | - |
dc.identifier.other | 000000151711 | - |
dc.identifier.uri | https://hdl.handle.net/10371/144082 | - |
dc.description | 학위논문 (석사)-- 서울대학교 대학원 : 자연과학대학 수리과학부, 2018. 8. 하승열. | - |
dc.description.abstract | In this thesis, we study the asymptotic behavior of the coupled Schrodinger-Lohe system under the same one-body potential with a special communication network between particles. First, we review the previous results on the classical all-to-all Schrodinger-Lohe system and the relation between the Schrodinger-Lohe system and Lotka-Volterra system. Then, we present a large-time behavior of the system by introducing the pairwise correlation function. Furthermore, we provide the existence of equilibria for the finite-dimensional system under the general network framework. Finally, we provide several numerical simulation results supporting our analytical result. | - |
dc.description.tableofcontents | Abstract
1 Introduction 2 Preliminaries 2.1 The Lotka-Volterra system 2.2 The Schrodinger-Lohe system 2.3 Review on wave function synchronization 3 A nite-dimensional reduction of the Schrodinger-Lohe system 4 Existence of equilibria for finite-dimension 4.1 Low-dimensional system 4.2 Large-dimensional system 5 Numerical simulations 5.1 Simulation on Low-dimensional system 5.2 Simulation on Large-dimensional system 6 Conclusion Bibliography Acknowledgement (in Korean) | - |
dc.format | application/pdf | - |
dc.format.medium | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | 서울대학교 대학원 | - |
dc.subject.ddc | 510 | - |
dc.title | Remarks on the Schrodinger-Lohe model | - |
dc.title.alternative | 슈뢰딩거-로헤 모델에 대한 고찰 | - |
dc.type | Thesis | - |
dc.contributor.AlternativeAuthor | INYOUNG SUNG | - |
dc.description.degree | Master | - |
dc.contributor.affiliation | 자연과학대학 수리과학부 | - |
dc.date.awarded | 2018-08 | - |
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