Stability and bifurcation analysis of a two-neuron system with discrete and distributed delays.

摘要

A two-neuron network model with multiple discrete and distributed delays is considered. The stability of the steady-state solutions and the oscillations around the steady-state solutions are investigated. Three special cases of the artificial neural network model are considered. The first case corresponds to two neural interactions with instantaneous feedback for each neuron and neural interaction history. The second case corresponds to two neural interactions with neural feedback and with no neural interaction history. The last case corresponds to two neural interactions with neural feedback and neural interaction history. Local stability analysis is investigated for all three cases. Numerical simulations are performed to illustrate the obtained results.