4.7 Article

On the synchronization theory of Kuramoto oscillators under the effect of inertia

期刊

JOURNAL OF DIFFERENTIAL EQUATIONS
卷 267, 期 2, 页码 742-775

出版社

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2019.01.024

关键词

Kuramoto; Synchronization

资金

  1. National Research Foundation of Korea - Ministry of Education [2018R1D1A1B07048325]
  2. UNIST (Ulsan National Institute of Science Technology) [1.170045.01]
  3. National Research Foundation of Korea (NRF) - Ministry of science, ICT and future planning [2017R1E1A1A03070406]
  4. National Research Foundation of Korea [2017R1E1A1A03070406, 2018R1D1A1B07048325] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

向作者/读者索取更多资源

We investigate the synchronized collective behavior of the Kuramoto oscillators with inertia effect. Both the frequency synchronization for nonidentical case and the phase synchronization for identical case are in view. As an application of our general theory, we show the global frequency synchronization for the three-nonidentical-oscillator case. (c) 2019 Elsevier Inc. All rights reserved.

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