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Workshop

Time delays and neural field dynamics

  • Fatihcan Atay (Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany)
G3 10 (Lecture hall)

Abstract

We consider field models of neural dynamics which include both distance-dependent delays prevalent in intracortical connections, and fixed delays arising in interareal feedback loops. Furthermore, motivated by experimental evidence, we introduce distributions of propagation speed and feedback delays, instead of fixed values. We present an analytical method for studying the stability of equilibria and the bifurcations leading to spatial patterns and traveling waves, which is applicable for general connectivity kernels.

Antje Vandenberg

Max-Planck-Institut für Mathematik in den Naturwissenschaften Contact via Mail

Jürgen Jost

Max-Planck-Institut für Mathematik in den Naturwissenschaften

Henry Tuckwell

Max-Planck-Institut für Mathematik in den Naturwissenschaften