Topological effects on dynamics in complex pulse-coupled networks of integrate-and-fire type

Maxim S. Shkarayev, Gregor Kovačič, David Cai

Research output: Contribution to journalArticlepeer-review

Abstract

For a class of integrate-and-fire, pulse-coupled networks with complex topology, we study the dependence of the pulse rate on the underlying architectural connectivity statistics. We derive the distribution of the pulse rate from this dependence and determine when the underlying scale-free architectural connectivity gives rise to a scale-free pulse-rate distribution. We identify the scaling of the pairwise coupling between the dynamical units in this network class that keeps their pulse rates bounded in the infinite-network limit. In the process, we determine the connectivity statistics for a specific scale-free network grown by preferential attachment.

Original languageEnglish (US)
Article number036104
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume85
Issue number3
DOIs
StatePublished - Mar 12 2012

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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