University of Twente Student Theses
On the effect of a Gaussian firing rate function on the dynamics of a network of Wilson-Cowan populations
Kiewiet, B. (2014) On the effect of a Gaussian firing rate function on the dynamics of a network of Wilson-Cowan populations.
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| Abstract: | We study the effect of a Gaussian firing rate function on the dynamics of a neural network of coupled Wilson-Cowan equations. Bifurcation analysis shows that an extra stable high activity equilibrium exists in addition to the normal behavior. Two populations are coupled by their excitatory subpopulations and a bifurcation analysis shows periodic solutions, some of which are not found using the original equations. Simulations with a large network of coupled populations show activity spread from a stable high activity population which drives the network. Using a propagation delay between populations, we analyze the stability of the various periodic solutions. It is shown that the coupling strength and propagation delay have a large influence on the stability of these periodic solutions. We classify patterns and link their appearance with the coupling strength and time delay in a large network of populations. |
| Item Type: | Essay (Master) |
| Faculty: | EEMCS: Electrical Engineering, Mathematics and Computer Science |
| Subject: | 31 mathematics, 42 biology |
| Programme: | Applied Mathematics MSc (60348) |
| Link to this item: | https://purl.utwente.nl/essays/66097 |
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