Modelling mean fields in networks of coupled oscillators

DOI10.1016/j.geomphys.2017.11.009zbMath1393.34046OpenAlexW2769006069MaRDI QIDQ1742280

Aladin Crnkić, Vladimir Jacimovic

Publication date: 11 April 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2017.11.009

zbMATH Keywords

synchronyMöbius transformationcross ratiocomplex networkmean fieldKuramoto model

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

Related Items

Collective dynamics of phase-repulsive oscillators solves graph coloring problem

Cites Work

• Unnamed Item
• Unnamed Item
• From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
• Characterizing complex networks through statistics of Möbius transformations
• A system on a torus modelling the dynamics of a Josephson junction
• PHASE OSCILLATORS WITH SINUSOIDAL COUPLING INTERPRETED IN TERMS OF PROJECTIVE GEOMETRY
• Riemannian center of mass and mollifier smoothing
• Möbius Transformations and Periodic Solutions of Complex Riccati Equations
• Integrability of a globally coupled oscillator array
• Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action
• Medians and Means in Riemannian Geometry: Existence, Uniqueness and Computation
• Collective dynamics of ‘small-world’ networks