On reversibility of macroscopic and microscopic dynamics in the Kuramoto model

DOI10.1016/j.physd.2020.132762zbMath1493.37097OpenAlexW3090550782MaRDI QIDQ2116310

Aladin Crnkić, Vladimir Jacimovic

Publication date: 16 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2020.132762

zbMATH Keywords

Möbius transformationscoherent statesKuramoto modelPoisson kernelstime-reversibility

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Invariant manifold theory for dynamical systems (37D10) Computational methods for invariant manifolds of dynamical systems (37M21)

Cites Work

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• Coherent states for the hydrogen atom
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• TESTING FOR PHASE SYNCHRONIZATION
• Low-dimensional dynamics in non-Abelian Kuramoto model on the 3-sphere
• Systems of matrix Riccati equations, linear fractional transformations, partial integrability and synchronization
• Low dimensional behavior of large systems of globally coupled oscillators
• Identical phase oscillators with global sinusoidal coupling evolve by Möbius group action
• A Family of Distributions on the Circle With Links to, and Applications Arising From, Möbius Transformation
• Hyperbolic geometry of Kuramoto oscillator networks

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