Finite-time <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg" display="inline" id="d1e2102"> <mml:msup> <mml:mrow> <mml:mi>S</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>p</mml:mi> </mml:mrow> </mml:msup> </mml:math> -almost periodic synchronization of fractional-order octonion-valued Hopfield neural networks

Abstract

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 S p -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.

Topics & Concepts