Impact of network topology on synchrony of oscillatory power grids

DOI10.1063/1.4865895zbMath1374.05220arXiv1305.1634OpenAlexW2136726900WikidataQ87603703 ScholiaQ87603703MaRDI QIDQ4591561

Marc Timme, Martin Rohden, Andreas Sorge, Dirk Witthaut

Publication date: 17 November 2017

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

Full work available at URL: https://arxiv.org/abs/1305.1634

Mathematics Subject Classification ID

Applications of graph theory (05C90) Planar graphs; geometric and topological aspects of graph theory (05C10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Synchronization of solutions to ordinary differential equations (34D06)

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Cites Work

• From Kuramoto to Crawford: Exploring the onset of synchronization in population of coupled oscillators
• The Fokker-Planck equation. Methods of solutions and applications.
• Synchronization and Transient Stability in Power Networks and Nonuniform Kuramoto Oscillators
• Synchronization in complex oscillator networks and smart grids
• Collective dynamics of ‘small-world’ networks
• On the Critical Coupling for Kuramoto Oscillators