Transient dynamics of pulse-coupled oscillators with nonlinear charging curves

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

References in corpus (4)

• Synchronization in complex networks
• Paths to Synchronization on Complex Networks
• Endogenous crisis waves: a stochastic model with synchronized collective behavior
• Synchronization as Aggregation: Cluster Kinetics of Pulse-Coupled Oscillators

Cited by in corpus (1)

• Percolation critical exponents in cluster kinetics of pulse-coupled oscillators