摘要:We consider a simplified bidirectional associated memory (BAM)
neural network model with four neurons and multiple time delays.
The global existence of periodic solutions bifurcating from Hopf
bifurcations is investigated by applying the global Hopf
bifurcation theorem due to Wu and Bendixson's criterion for
high-dimensional ordinary differential equations due to Li and
Muldowney. It is shown that the local Hopf bifurcation implies the
global Hopf bifurcation after the second critical value of the sum
of two delays. Numerical simulations supporting the theoretical
analysis are also included.