Existence and global stability of periodic solution fordelayed discrete high‐order Hopfield‐type neural networks

Hong Xiang, Keming Yan, Bai-Yan Wang · Discrete Dynamics in Nature and Society · 2005

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.

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