Distributed transmission speeds and their effects on propagating activity in neural populations

Axel Hutt and Fatihcan M. Atay

Contact the author: Please use for correspondence this email.
Submission date: 11. Sep. 2005
published in: Physical review / E, 73 (2006) 2, art-no. 021906 
DOI number (of the published article): 10.1103/PhysRevE.73.021906
Bibtex
with the following different title: Effects of distributed transmission speeds on propagating activity in neural populations
PACS-Numbers: 87.18.Hf, 02.60.Nm, 87.19.La

Abstract:
Motivated by experimental evidence, a distribution of axonal transmission speeds is introduced into a standard field model of neural populations. The resulting field dynamics are analytically studied by a systematic investigation of the stability and bifurcations of equilibrium solutions. Using a perturbation approach, the effect of distributed speeds on bifurcations of equilibria are determined for general connectivity and speed distributions. In addition, a nonlinear analysis of traveling fronts is given. It is shown that the variance of the speed distribution affects the frequency of bifurcating periodic solutions and the phase speed of traveling waves.