Finite-time Sp-almost periodic synchronization of fractional-order octonion-valued Hopfield neural networks

In this paper, we consider a fractional-order octonion-valued Hopfield neural network. Based on the fixed point theorem and analytical technique, we first establish the existence and uniqueness of Sp-almost periodic solutions of the network by direct method. Then, we take the fractional-order octonion-valued Hopfield neural network as the driving system and introduce the corresponding response system to study their finite-time synchronization. Finally, we use an example to illustrate the validity of our results. Even when the neural network under consideration degenerates into real-valued one, our results are completely new.