Recurrent events of synchrony in complex networks of pulse-coupled oscillators
Department of Epileptology, University of Bonn - Bonn, Germany, EU,
2 Helmholtz Institute for Radiation and Nuclear Physics, University of Bonn - Bonn, Germany, EU and
3 Interdisciplinary Center for Complex Systems, University of Bonn - Bonn, Germany, EU
Accepted: 14 June 2011
We present and analyze deterministic complex networks of pulse-coupled oscillators that exhibit recurrent events comprised of an increase and a decline in synchrony. Events emerging from the networks may form an oscillatory behavior or may be separated by periods of asynchrony with varying duration. The phenomenon is specific to spatial networks with both short- and long-ranged connections and requires delayed interactions and refractoriness of oscillators.
PACS: 89.75.-k – Complex systems / 05.45.Xt – Synchronization; coupled oscillators / 84.35.+i – Neural networks
© EPLA, 2011