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arXiv · 1510.05341

Transient dynamics of pulse-coupled oscillators with nonlinear charging curves

Kevin P. O'Keeffe
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Abstract

We consider the transient behavior of globally coupled systems of identical pulse coupled oscillators. Synchrony develops through an aggregation phenomenon, with clusters of synchronized oscillators forming and growing larger in time. Previous work derived expressions for these time dependent clusters, when each oscillator obeyed a linear charging curve. We generalize these results to cases where the charging curves have nonlinearities

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Kevin P. O'Keeffe. 2015-10-20. Transient dynamics of pulse-coupled oscillators with nonlinear charging curves. https://doi.org/10.1103/physreve.93.032203

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