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On the asymptotic dynamics of particle and kinetic Kuramoto synchronization models : 쿠라모토 입자, 운동 동기화 모델의 점근적 동역학에 관하여
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- Authors
- Advisor
- 하승열
- Major
- 자연과학대학 수리과학부
- Issue Date
- 2016-08
- Publisher
- 서울대학교 대학원
- Keywords
- Kuramoto model ; kinetic equation ; Kuramoto-Sakaguchi equation ; synchronization ; dynamical system
- Description
- 학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2016. 8. 하승열.
- Abstract
- In this thesis, we study the Kuramoto model which describes the synchronous phenomena. In the Kuramoto model, the dynamics of the oscillators are presented by the intrinsic constant dynamics and the couplings between the oscillators. We study the sufficient conditions to achieve the emergence of synchronization for the Kuramoto model in various circumstances
network structure, frustrations, heterogeneous intrinsic dynamics, inertia effects, etc. We also study the dynamics of the kinetic Kuramoto-Sakaguchi equation, which is the macroscopic description for the mean field limit of the Kuramoto model.
- Language
- English
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