Transient dynamics of pulse-coupled oscillators with nonlinear charging curves
Kevin P. O'Keeffe
TL;DR
This paper investigates the transient synchronization dynamics in globally coupled pulse oscillators with nonlinear charging curves, extending previous linear models to more complex nonlinear cases.
Contribution
It generalizes existing models of oscillator synchronization to include nonlinear charging curves, providing new analytical expressions for cluster formation over time.
Findings
Synchronization occurs through cluster growth over time.
Nonlinear charging curves influence the transient dynamics.
Analytical expressions for cluster sizes are derived for nonlinear cases.
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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