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arXiv · 1801.03899

Connecting the Kuramoto Model and the Chimera State

Tejas Kotwal·Xin Jiang·Daniel M. Abrams
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Abstract

Since its discovery in 2002, the chimera state has frequently been described as a counter-intuitive, 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.

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Tejas Kotwal, Xin Jiang, Daniel M. Abrams. 2018-01-11. Connecting the Kuramoto Model and the Chimera State. https://doi.org/10.1103/physrevlett.119.264101

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