Discrete Dynamics in Nature and Society
Volume 2005 (2005), Issue 3, Pages 281-297
Existence and global stability of periodic solution for
delayed discrete high-order Hopfield-type neural networks
Institute of Applied Mathematics, Lanzhou University of Technology, Gansu, Lanzhou 730050, China
Received 6 February 2005
Copyright © 2005 Hong Xiang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.