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math.DS2022★ 2 cited
Bifurcations of Neural Fields on the Sphere
Len Spek, Stephan A. van Gils, Yuri A. Kuznetsov +1
A common model to study pattern formation in large groups of neurons is the neural field. We investigate a neural field with excitatory and inhibitory neurons, like Wilson and Cowa…
math.DS2020★ 7 cited
Dynamics of delayed neural field models in two-dimensional spatial domains
L. Spek, M. Polner, K. Dijkstra +1
Delayed neural field models can be viewed as a dynamical system in an appropriate functional analytic setting. On two dimensional rectangular space domains, and for a special class…