Sustained oscillations in cyclically connected neural networks
by
Fotios Giannakopoulos
Fraunhofer Institute for Autonomous intelligent Systems (AiS)
Coauthors: Irene Heinen and Andreas Zapp (Universitaet Koeln)

Cyclically connected neural networks arise in several regions of the brain. It is believed that they provide possible mechanisms of generation of multistable and oscillatory activity.

In this talk a mathematical model for neural networks is presented consisting of a system of nonlinear delay differential equations. Mathematical analysis yields conditions for the existence of multistable steady states and periodic solutions in cyclically connected neural networks. Computer simulations indicate that the interaction of several neural networks connected cyclically can generate complex dynamic behavior.

Date received: May 28, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # calo-15.