Time-delayed Kuramoto model in the Watts-Strogatz small-world networks

S. Ameli*, M. Karimian, F. Shahbazi

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We study the synchronization of small-world networks of identical coupled phase oscillators through the Kuramoto interaction and uniform time delay. For a given intrinsic frequency and coupling constant, we observe synchronization enhancement in a range of time delays and discontinuous transition from the partially synchronized state with defect patterns to a glassy phase, characterized by a distribution of randomly frozen phase-locked oscillators. By further increasing the time delay, this phase undergoes a discontinuous transition to another partially synchronized state. We found the bimodal frequency distributions and hysteresis loops as indicators of the discontinuous nature of these transitions. Moreover, we found the existence of Chimera states at the onset of transitions.
Original languageEnglish
Article number113125
Number of pages9
JournalChaos
Volume31
Issue number11
DOIs
Publication statusPublished - 1 Nov 2021

Keywords

  • LIMIT-CYCLE OSCILLATORS
  • SYNCHRONIZATION

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