Oscillatory Dynamics in Mathematical Models of Neural Networks

Series
Time
Friday, November 4, 2022 - 11:00am for 1 hour (actually 50 minutes)
Location
Online
Speaker
Gemma Huguet – Universitat Politècnica de Catalunya – https://web.mat.upc.edu/gemma.huguet/
Organizer
Jorge Gonzalez

https://gatech.zoom.us/j/95197085752?pwd=WmtJUVdvM1l6aUJBbHNJWTVKcVdmdz09

Oscillations are ubiquitous in the brain, but their role is not completely understood. In this talk we will focus on the study of oscillations in neuronal networks. I will introduce some neuronal models and I will show how tools from dynamical systems theory, such as the parameterization method for invariant manifolds or the separatrix map, can be used to provide a thorough analysis of the oscillatory dynamics. I will show how the conclusions obtained may contribute to unveiling the role of oscillations in certain cognitive tasks.