Skip to Main content Skip to Navigation
Journal articles

Stabilization of pulse waves through inhibition in a feedforward neural networks

Arnaud Tonnelier 1
1 CORTEX - Neuromimetic intelligence
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We consider a firing rate model of a neural network of excitatory and inhibitory populations with an excitatory feedforward connectivity. We analyze traveling wave solutions and determine the conditions for their existence and stability. Our study demonstrates the role of inhibition in stable pulse propagation. In a purely excitatory network, pulse waves are unstable because of the existence of stable frontwave and backwave with different velocities. Pulsewaves can propagate stably in the network where excitation is appropriately balanced by inhibition. Analytical results on the wave speeds and the shape of waves are obtained.
Document type :
Journal articles
Complete list of metadata

https://hal.inria.fr/inria-00000580
Contributor : Arnaud Tonnelier <>
Submitted on : Friday, November 4, 2005 - 12:49:09 PM
Last modification on : Friday, February 26, 2021 - 3:28:03 PM

Identifiers

  • HAL Id : inria-00000580, version 1

Collections

Citation

Arnaud Tonnelier. Stabilization of pulse waves through inhibition in a feedforward neural networks. Physica D: Nonlinear Phenomena, Elsevier, 2005, 210, pp.118--137. ⟨inria-00000580⟩

Share

Metrics

Record views

143