Discrete Dynamics in Nature and Society
Volume 2005 (2005), Issue 3, Pages 281-297
doi:10.1155/DDNS.2005.281
Existence and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks
Hong Xiang
, Ke-Ming Yan
and Bai-Yan Wang
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.