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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:http://purl.utwente.nl/essays/66097
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