Uniform-in-time transition from discrete to continuous dynamics in the Kuramoto synchronization-Reference-Cited by-同舟云学术

Uniform-in-time transition from discrete to continuous dynamics in the Kuramoto synchronization

Published:2019-05 Issue:5 Volume:60 Page:051508
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:Journal of Mathematical Physics

Author:

Ha Seung-Yeal¹,Kim Dohyun²^ORCID,Kim Jeongho³^ORCID,Zhang Xiongtao⁴^ORCID

Affiliation:

1. Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 08826, South Korea and Korea Institute for Advanced Study, Hoegiro 85, Seoul 02455, South Korea

2. National Institute for Mathematical Sciences, 70, Yuseong-daero 1689 Beon-gil, Yuseong-gu, Daejeon 34047, South Korea

3. Department of Mathematical Sciences, Seoul National University, Seoul 08826, South Korea

4. Center for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan, China

Funder

National Natural Science Foundation of China

Ministry of Science, ICT and Future Planning

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://aip.scitation.org/doi/pdf/10.1063/1.5051788

Reference20 articles.

1. The Kuramoto model: A simple paradigm for synchronization phenomena

2. Map model for synchronization of systems of many coupled oscillators

3. Fully synchronous solutions and the synchronization phase transition for the finite-NKuramoto model

4. Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model

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