Coarse-grained description of general oscillator networks

Yuki Izumida; Hiroshi Kori

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arXiv · 1311.0917

Coarse-grained description of general oscillator networks

Yuki Izumida·Hiroshi Kori

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Abstract

We propose a novel and systematic method for coarse-graining oscillator networks described by phase equations. Our coarse-graining method enables us to obtain the closed coarse-grained equations for a few effective eigenmodes, which is based on the eigenvalue problem of the linearized system around the phase-locked solution and a nonlinear transformation. We demonstrate our method by applying it to oscillator dynamics on a random graph, which exhibits a saddle-node bifurcation at the bifurcation point.

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Yuki Izumida, Hiroshi Kori. 2013-11-04. Coarse-grained description of general oscillator networks. https://arxiv.org/abs/1311.0917

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