Existence and Exact Multiplicity of Phaselocked Solutions of a Kuramoto Model of Mutually Coupled Oscillators

DOI10.1137/15100309XzbMath1322.45005MaRDI QIDQ2943521

William C. Troy

Publication date: 3 September 2015

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

coupled systemintegro-differential equationmultiple solutionphase-locked solutionsKuramoto system of coupled oscillators

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Systems of nonlinear integral equations (45G15)

Related Items (3)

Convergence and stability of generalized gradient systems by Łojasiewicz inequality with application in continuum Kuramoto model ⋮ Emergent behaviors of the continuum thermodynamic Kuramoto model in a large coupling regime ⋮ Phaselocked Solutions Of The Finite Size Kuramoto Coupled Oscillator Model

Cites Work

• Chemical oscillations, waves, and turbulence
• Synchronization in a pool of mutually coupled oscillators with random frequencies
• The nature of the coupling between segmental oscillators of the lamprey spinal generator for locomotion: a mathematical model
• Frequency Plateaus in a Chain of Weakly Coupled Oscillators, I.
• The chemical basis of morphogenesis
• Generating macroscopic chaos in a network of globally coupled phase oscillators

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