Effects of Distributed Time Delays on Neuronal Network Micro-Circuits
Abstract
Time delays are prevalent in many systems of practical interest. Retarded functional differential equations have been widely used to model systems with inherent time delays. The stability of systems with discrete time delays has been studied quite extensively in the recent mathematical research literature. This project will investigate the effects of general distributed time delays on some common mathematical models of artificial neuronal network micro-circuits or small networks. The project will gain insight into how distributed time delays interact with network structure to determine the stability and oscillations in small networks or micro-circuits. Naturally, these problems have echoes in bifurcation theory and other areas. Novel ways of thinking about stability and bifurcation of equilibria will be explored. The project will shed light on the intricacies of large networks of interacting units.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jul 09, 2020
- Source ID
- W911NF2010123
Entities
People
- Israel Ncube
Organizations
- Alabama A & M College
- Army Contracting Command
- United States Army