Computing the Douady-Earle extension using Kuramoto oscillators

DOI10.1007/s13324-018-0214-zzbMath1465.34048OpenAlexW2793514937MaRDI QIDQ1999839

Vladimir Jacimovic

Publication date: 27 June 2019

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-018-0214-z

zbMATH Keywords

coupled oscillatorsKuramoto modelDouady-Earle extensionconformal barycenter

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items

Low-dimensional dynamics in non-Abelian Kuramoto model on the 3-sphere, On reversibility of macroscopic and microscopic dynamics in the Kuramoto model

Cites Work

• Conformal barycenters and the Douady-Earle extension -- a discrete dynamical approach.
• Chemical oscillations, waves, and turbulence
• Constants of motion for superconducting Josephson arrays
• Conformally natural extension of homeomorphisms of the circle
• Solvable model of the collective motion of heterogeneous particles interacting on a sphere
• Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action
• Hyperbolic geometry of Kuramoto oscillator networks
• Unnamed Item
• Unnamed Item