The asymptotic behavior of the order parameter for the infinite-N Kuramoto model

DOI10.1063/1.4766596zbMath1319.34059OpenAlexW2046221765WikidataQ51282237 ScholiaQ51282237MaRDI QIDQ2944627

Renato E. Mirollo

Publication date: 2 September 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4766596

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

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Cites Work

• Unnamed Item
• The spectrum of the partially locked state for the Kuramoto model
• Coupled nonlinear oscillators below the synchronization threshold: Relaxation by generalized Landau damping
• Low dimensional behavior of large systems of globally coupled oscillators
• Long time evolution of phase oscillator systems
• Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action
• Comment on “Long time evolution of phase oscillator systems” [Chaos 19, 023117 (2009)]

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