Nonlinear Phenomena in Complex Systems, 2002, Vol.5, No.4, pp.407-417

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2002, Vol.5, No.4, pp.407-417

Oscillatory Phenomena and Stability of Periodic Solutions in a Simple Neural Network with Delay
J. Wei, M. G. Velarde, and V. A. Makarov

A simple (two-neuron) neural network model with two delays is considered. Firstly, the linear stability of the model is studied and the bifurcation set is drawn in the appropriate parameter plane. Then a group of conditions to guarantee the global existence of periodic solutions is given. Finally, numerical simulations are performed to illustrate the analytical results found and comments are given about their possible neurobiological significance.
Key words: neural network, delay, oscillatory phenomena, stability, bifurcation

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