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Research Article | Open Access

Existence and global exponential stability of compact almost automorphic solutions for Clifford-valued high-order Hopfield neutral neural networks with D operator

Yuwei CaoBing Li( )
School of Mathematics and Computer Science, Yunnan Minzu University, Kunming, Yunnan 650500, China
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Abstract

In this paper, a class of Clifford-valued higher-order Hopfield neural networks with D operator is studied by non-decomposition method. Except for time delays, all parameters, activation functions and external inputs of this class of neural networks are Clifford-valued functions. Based on Banach fixed point theorem and differential inequality technique, we obtain the existence, uniqueness and global exponential stability of compact almost automorphic solutions for this class of neural networks. Our results of this paper are new. In addition, two examples and their numerical simulations are given to illustrate our results.

CLC number: 34K14, 34K20, 34K40, 92B20

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AIMS Mathematics
Pages 6182-6203

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Cite this article:
Cao Y, Li B. Existence and global exponential stability of compact almost automorphic solutions for Clifford-valued high-order Hopfield neutral neural networks with D operator. AIMS Mathematics, 2022, 7(4): 6182-6203. https://doi.org/10.3934/math.2022344

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Received: 13 November 2021
Revised: 31 December 2021
Accepted: 12 January 2022
Published: 15 April 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)