Activity: Talk or presentation › Oral presentation
Description
Delays are a natural component of computational models of large-scale brain dynamics. Delays combined with local synaptic activity typically lead to oscillations, but the question is whether synchrony or some out-of-phase solution is stable. Here we present a machinery using harmonic balance and accounting for symmetries to look for instabilities of the synchronous solution.
We first analyse a simple model on a ring where "travelling waves" with activity jumping to the nearest or next-nearest neighbour appear. Employing numerical continuation, we also track which pattern exists as we change the delay. For stability of the asynchronous solutions, we rely on simulations. We then move on to the Wilson-Cowan model with similar results, and highlight some of the additional numerical challenges.
Period
16 Dec 2024
Event title
MiLS meeting on "Time-Delay Systems in Life Sciences" 2024