The Kuramoto Model

Acebrón, J. A., Bonilla, L. L., Pérez Vicente, C. J., Ritort, F., & Spigler, R. (2005). The Kuramoto Model: A Simple Paradigm for Synchronization Phenomena. Reviews of Modern Physics, 77(1), 137-185.

Type

Journal article

Intellectual base

Primary research

Year

2005

Volume

77

Issue

1

Pages

137-185

DOI

10.1103/revmodphys.77.137

DOI registrant

American Physical Society

Link

https://doi.org/10.1103/RevModPhys.77.137

Cited from

physics

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Synchronization
  • The mathematical structure (coupled nonlinear ODEs, bifurcation theory, Lyapunov stability, mode-coupling and frequency-locking equations) transfers cleanly from fireflies to power grids, neural networks, supply-chain scheduling, and musical ensembles, a cross-substrate generality Acebrón, Bonilla, Pérez Vicente, Ritort, and Spigler (2005) document in their Reviews of Modern Physics survey of Kuramoto-model applications.

    This sourceAuthoritative review documenting how the same coupled-ODE / bifurcation-theoretic framework applies to fireflies, neural networks, power grids, Josephson-junction arrays, and chemical oscillators.

Domain-specific

• Phase Synchronization
  • Population models such as the Kuramoto model show how heterogeneous oscillators can cross from incoherence to collective phase order, using an order parameter rather than pairwise equality.

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