Dynamics of a two-neuron system with discrete and distributed delays

Shigui Ruan, Rami S. Filfil

Research output: Contribution to journalArticle

131 Scopus citations

Abstract

In this paper we consider a two-neuron network model with multiple discrete and distributed delays, where the distributed delays describe the neural feedback and the discrete delays describe the neural interaction history. Three special cases of the artificial neural network model are considered. The first case corresponds to two neural interactions with instantaneous feedback for each neuron and neural interaction history. The second case corresponds to two neural interactions with delayed neural feedback and no neural interaction history. The last case corresponds to two neural interactions with delayed neural feedback and neural interaction history. Local stability analyses are carried out for all three cases. Numerical simulations are performed to illustrate the obtained results.

Original languageEnglish (US)
Pages (from-to)323-342
Number of pages20
JournalPhysica D: Nonlinear Phenomena
Volume191
Issue number3-4
DOIs
StatePublished - May 1 2004

Keywords

  • Discrete and distributed delays
  • Neural feedback
  • Neural interaction history
  • Two-neuron system

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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