Stability, bifurcation analysis in a neural network model with delay and diffusion
Rui Hu, Yuan Yuan · AIMS Press eBooks · 2009
We consider a delayed neural network model with diffusion. By analyzing thedistributions of the eigenvalues of the system and applying the centermanifold theory and normal form computation, we showthat, regarding the connection coefficients as the perturbation parameter,the system, with the different boundary conditions, undergoes some bifurcationsincluding transcritical bifurcation, Hopf bifurcation and Hopf-zero bifurcation.The normal forms are given to determine the stabilities of the bifurcatedsolutions.