Dynamical behaviors of CohenGrossberg neural networks with delays and reactiondiffusion terms ?
In this paper, we study CohenGrossberg neural networks with delays and reactiondiffusion terms. By employing homotopic mapping theory and constructing suitable Lyapunov functional method we present some sufficient conditions ensuring the existence, uniqueness and globally exponential stability (GES) of the equilibrium point. These conditions obtained have important leading significance in the designs and applications of GES for reactiondiffusion neural circuit systems with delays. Finally, we show a numerical example to verify the theoretical analysis.
cohengrossberg neural networks reactiondiffusion terms homotopic mapping theory lyapunov functional globally exponential stability equilibrium point