Event Details
Stability and bifurcation of a simple neural network with multiple time delays
Presenter: Dr. S.A. Campbell - Department of Applied Mathematics, University of Waterloo
Supervisor:
Date: Thu, February 8, 2001
Time: 15:30:00 - 00:00:00
Place: Clearihue A-215
ABSTRACT
ABSTRACT:
A system of delay differential equations representing a simple model for a ring of neurons with time delayed connections between the neurons is studied. Conditions for the linear stability of fixed points of this system are represented in a parameter space consisting of the sum of the time delays between the elements and the product of the strengths of the connections between the elements. It is shown that both Hopf and steady state bifurcations may occur when a fixed point loses stability. Codimension two bifurcations are shown to exist and numerical simulations reveal the possibility of quasiperiodicity and multistability near such points.
Refreshments will be served @ 3:00 p.m.