New Conditions for Global Dynamics of Nonautonomous Cellular Neural Networks with Reaction-Diffusion Terms

Abstract

This paper studies a class of nonautonomous cellular neural networks with reaction-diffusion terms. By applying differential inequality technique and Poincare mapping theorem, we give some sufficient conditions ensuring the boundedness and globally exponential stability of the solutions for the general nonautonomous system. Particularly, when the nonautonomous system becomes the periodic system, we give sufficient conditions of the existence and globally exponential stability of periodic solutions. The results obtained extend and improve the earlier publications. Finally, two examples with their numerical simulations are provided to show the correctness of our analysis.