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Research Article | Open Access

Weighted pseudo almost periodic solutions of octonion-valued neural networks with mixed time-varying delays and leakage delays

Jin Gao1( )Lihua Dai2
School of Information, Yunnan Communications Vocational and Technical College, Kunming, Yunnan 650500, China
School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
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Abstract

In this paper, we propose a class of octonion-valued neural networks with leakage delays and mixed delays. Considering that the multiplication of octonion algebras does not satisfy the associativity and commutativity, we can obtain the existence and global exponential stability of weighted pseudo almost periodic solutions for octonion-valued neural networks with leakage delays and mixed delays by using the Banach fixed point theorem, the proof by contradiction and the non-decomposition method. Finally, we will give one example to illustrate the feasibility and effectiveness of the main results.

CLC number: 34A34, 34C25, 34D23, 34K20

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AIMS Mathematics
Pages 14867-14893

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Cite this article:
Gao J, Dai L. Weighted pseudo almost periodic solutions of octonion-valued neural networks with mixed time-varying delays and leakage delays. AIMS Mathematics, 2023, 8(6): 14867-14893. https://doi.org/10.3934/math.2023760

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Received: 22 February 2023
Revised: 27 March 2023
Accepted: 05 April 2023
Published: 15 June 2023
©2023 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)