Diagrammatic expansion of pulse-coupled network dynamics

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We introduce a framework wherein various long-time measurements of a pulse-coupled network's stationary dynamics can be expanded in terms of the network's connectivity. Such measurements include the occurrence rate of pulses as well as higher-order correlations in activity between various nodes in the network. The various terms in this expansion can be interpreted as diagrams corresponding to subnetworks of the original network which span both space (in terms of the network's graph) as well as time (in the sense of causality).

Original languageEnglish (US)
Article number158101
JournalPhysical Review Letters
Issue number15
StatePublished - Apr 13 2009

ASJC Scopus subject areas

  • General Physics and Astronomy


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