PERIODICITY OF DELAYED REACTION-DIFFUSION HIGH-ORDER COHEN-GROSSBERG NEURAL NETWORKS WITH DIRICHLET BOUNDARY CONDITIONS

In this paper, we study delayed reaction-diffusion high-order Cohen-Grossberg neural networks with Dirichlet boundary conditions. By using some inequality techniques and constructing the Lyapunov functional method, some sufficient conditions in which the diffusion coefficients will affect the periodicity and the global exponential stability of solutions are given to ensure the existence and convergence of the periodic oscillatory solution. Finally, an example is given to verify the theoretical analysis.