Recurrent events of synchrony in complex networks of pulse-coupled oscillators

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Published 7 July 2011 • Europhysics Letters Association
, , Citation A. Rothkegel and K. Lehnertz 2011 EPL 95 38001 DOI 10.1209/0295-5075/95/38001

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Author affiliations

1 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

Dates

  1. Received 8 April 2011
  2. Accepted 14 June 2011
  3. Published
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0295-5075/95/3/38001

Abstract

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.

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