Cycle holonomies in twisted Laplacian spectra determine the stability of phase-locked states in oscillator networks, with an exact critical lag of π/3 for a pentagon.
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2 Pith papers cite this work. Polarity classification is still indexing.
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A unified theory of edge weights for general Laplacian networks uses matrix phases and the Asymmetry Rayleigh Ratio to obtain less conservative stability conditions for AC power grids, directed diffusion, and the Kuramoto-Sakaguchi model.
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Cycle holonomy induces higher-order constraints and controls remote synchronization transitions via twisted Laplacian spectra
Cycle holonomies in twisted Laplacian spectra determine the stability of phase-locked states in oscillator networks, with an exact critical lag of π/3 for a pentagon.
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A Unified Theory of Edge Weights: Stability of General Laplacian Networks from Matrix Phases and Asymmetry Rayleigh Ratios
A unified theory of edge weights for general Laplacian networks uses matrix phases and the Asymmetry Rayleigh Ratio to obtain less conservative stability conditions for AC power grids, directed diffusion, and the Kuramoto-Sakaguchi model.