Existence and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks

Author:

Xiang Hong1,Yan Ke-Ming1,Wang Bai-Yan1

Affiliation:

1. Institute of Applied Mathematics, Lanzhou University of Technology, Gansu, Lanzhou 730050, China

Abstract

By using coincidence degree theory as well as a priori estimates and Lyapunov functional, we study the existence and global stability of periodic solution for discrete delayed high-order Hopfield-type neural networks. We obtain some easily verifiable sufficient conditions to ensure that there exists a unique periodic solution, and all theirs solutions converge to such a periodic solution.

Funder

National Science Foundation of Gansu Province of China

Publisher

Hindawi Limited

Subject

Modeling and Simulation

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