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arXiv · 1903.04492

Directed acyclic decomposition of Kuramoto equations

Tianran Chen
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Abstract

The Kuramoto model is one of the most widely studied model for describing synchronization behaviors in a network of coupled oscillators, and it has found a wide range of applications. Finding all possible frequency synchronization configurations in a general non-uniform heterogeneous sparse network is an important yet difficult problem due to the complicated nonlinear interactions. In this paper, we develop a general framework for decomposing a Kuramoto network into smaller directed acyclic subnetworks that will form the foundation of a divide-and-conquer approach for studying the frequency synchronization configurations of large Kuramoto networks.

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Tianran Chen. 2019-03-11. Directed acyclic decomposition of Kuramoto equations. https://doi.org/10.1063/1.5097826

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