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- W3194160080 abstract "Model reduction techniques such as the Ott-Antonsen ansatz have been widely used to study the collective behavior of globally coupled oscillators. However, the Ott-Antonsen approach assumes that there are infinitely many oscillators. Here we propose a new ansatz, based on the collective coordinate approach, that more accurately reproduces the collective dynamics of the Kuramoto model for finite networks, yields the same bifurcation structure as the Ott-Antonsen approach in the limit of infinitely many oscillators, and captures the dynamics of the order parameter in the thermodynamic limit, including critical slowing down that results from a cascade of saddle-node bifurcations." @default.
- W3194160080 created "2021-08-30" @default.
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- W3194160080 date "2019-10-02" @default.
- W3194160080 modified "2023-09-27" @default.
- W3194160080 title "Model reduction for the collective dynamics of globally coupled oscillators: A comparison between the collective coordinate framework and the Ott-Antonsen ansatz" @default.
- W3194160080 hasPublicationYear "2019" @default.
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