Synchronization of Kuramoto oscillators with the distributed time-delays and inertia effect

Chun Hsiung Hsia, Chang Yeol Jung, Bongsuk Kwon, Sunghwan Moon

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We prove the complete and partial phase synchronization for the Kuramoto oscillators with distributed time-delays and inertia effect. Our results assert that the Kuramoto models incorporated with a small variation of distributed time-delays and inertia effect still exhibit synchronization. This shows the robustness of the synchronization phenomena of the original Kuramoto model in the perturbation of time-delay and inertia effects. We also present several numerical experiments supporting our main results and exhibiting interesting patterns.

Original languageEnglish
Pages (from-to)4330-4349
Number of pages20
JournalApplicable Analysis
Volume102
Issue number15
DOIs
StatePublished - 2023

Keywords

  • 34D05
  • 34D06
  • distributed time-delays
  • inertia effect
  • Kuramoto model
  • Primary
  • Secondary
  • synchronization

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