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In this work, we prove some existence, global exponential stability and uniqueness results for measure pseudo almost periodic and automorphic solutions to a class of high-order Hopfield neural networks with delays. The main technique is based upon some appropriate composition theorems combined with the Banach contraction mapping principle. Finally, three numerical examples are given to illustrate the effectiveness of our results.

The measure pseudo almost-periodicty and automorphy in HOHNNs with time-varying delays