JOINT MATHEMATICS COLLOQUIUM

UNIVERSITY OF IDAHO

WASHINGTON STATE UNIVERSITY


Department of Mathematics

University of Idaho


Spring 2015

Thursday,  April 9, 3:30-4:20 pm, room TLC 223

Refreshments in Brink 305 at 3:00 pm


Clustering in Inhibitory Neural Networks


 

Xueying Wang




Washington State University

University of Idaho


Abstract

Clustering arises throughout the nervous system.  In this talk, I will discuss some recent development on the clustering dynamics of a network of inhibitory interneurons.  Specifically, the phase model analysis is used to study the existence and stability of cluster solutions; the precise conditions for the stability of these solutions are derived for nearest neighbor coupling. The results show that changing the connection weights in the network can change the stability of cluster solutions in inhibitory networks.