Natural Ordering and Uniform Tidal Effects in Globally Coupled Phase Oscillator Models

TL;DR

This paper investigates the internal structure of synchronized groups in globally coupled phase oscillator models, introducing an approximation based on natural ordering and tidal effects that effectively predicts microstructure across various models.

Contribution

It introduces a novel approximation method for the internal structure of coherent oscillator subsets based on natural ordering and tidal effects, enhancing microstructure predictions.

Findings

The approximation performs well across different phase oscillator models.

Natural ordering and tidal effects are key to understanding oscillator microstructure.

The method improves microstructure prediction accuracy.

Abstract

Globally coupled phase oscillator models, such as the Kuramoto model, exhibit spontaneous collective synchronization. Such models can be restated in terms of interactions within and between subsets of oscillators. An approximation for the internal structure of coherent subsets of oscillators can be made based on the observations of natural ordering and uniform tidal effects. The approximation is seen to perform well for predicting the microstructure in a variety of phase oscillator models.