Workshop
Time delays and neural field dynamics
- Fatihcan Atay (Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany)
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.