Rate models with delays and the dynamics of large networks of spiking neurons

Published

Conference Paper

We investigate the dynamics of a one-dimensional network of spiking neurons with spatially modulated excitatory and inhibitory interactions through extensive numerical simulations. We find that the network displays a rich repertoire of dynamical states as a function of the interaction parameters, including homogeneous oscillations, oscillatory bumps, traveling waves, lurching waves, standing waves, quasi-periodic and chaotic states as well as regimes of multistability. Combining analytical calculations and simulations we show that similar dynamics are found in a reduced rate model provided that the interactions are delayed.

Full Text

Duke Authors

Cited Authors

  • Roxin, A; Brunel, N; Hansel, D

Published Date

  • June 28, 2006

Published In

Volume / Issue

  • 161 /

Start / End Page

  • 68 - 85

Electronic International Standard Serial Number (EISSN)

  • 1347-4081

International Standard Serial Number (ISSN)

  • 0375-9687

Digital Object Identifier (DOI)

  • 10.1143/PTPS.161.68

Citation Source

  • Scopus