Connecting the Kuramoto Model and the Chimera State

Tejas Kotwal*, Xin Jiang, Daniel M. Abrams

*Corresponding author for this work

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

Since its discovery in 2002, the chimera state has frequently been described as a counterintuitive, puzzling phenomenon. The Kuramoto model, in contrast, has become a celebrated paradigm useful for understanding a range of phenomena related to phase transitions, synchronization, and network effects. Here we show that the chimera state can be understood as emerging naturally through a symmetry-breaking bifurcation from the Kuramoto model's partially synchronized state. Our analysis sheds light on recent observations of chimera states in laser arrays, chemical oscillators, and mechanical pendula.

Original languageEnglish (US)
Article number264101
JournalPhysical review letters
Volume119
Issue number26
DOIs
StatePublished - Dec 29 2017

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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