# Efficient moment-based approach to the simulation of infinitely many heterogeneous phase oscillators.

@article{Leon2022EfficientMA, title={Efficient moment-based approach to the simulation of infinitely many heterogeneous phase oscillators.}, author={Iv'an Le'on and Diego Paz'o}, journal={Chaos}, year={2022}, volume={32 6}, pages={ 063124 } }

The dynamics of ensembles of phase oscillators are usually described considering their infinite-size limit. In practice, however, this limit is fully accessible only if the Ott-Antonsen theory can be applied, and the heterogeneity is distributed following a rational function. In this work, we demonstrate the usefulness of a moment-based scheme to reproduce the dynamics of infinitely many oscillators. Our analysis is particularized for Gaussian heterogeneities, leading to a Fourier-Hermite…

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