Synchrony and periodicity in excitable neural networks with multiple subpopulations

Lee DeVille, Yi Zeng

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a cascading model of excitable neural dynamics and show that over a wide variety of parameter regimes, these systems admit unique attractors. For large coupling strengths, this attractor is a limit cycle, and for small coupling strengths, it is a fixed point. We also show that the cascading model considered here is a mean-field limit of an existing stochastic model.

Original languageEnglish (US)
Pages (from-to)1060-1081
Number of pages22
JournalSIAM Journal on Applied Dynamical Systems
Volume13
Issue number3
DOIs
StatePublished - 2014

Keywords

  • Contraction mapping
  • Critical parameters
  • Mean-field limit
  • Stochastic neuronal network

ASJC Scopus subject areas

  • Analysis
  • Modeling and Simulation

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