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

被引:5
作者
Gao, Jin [1 ]
Dai, Lihua [2 ]
机构
[1] Yunnan Commun Vocat & Tech Coll, Sch Informat, Kunming 650500, Yunnan, Peoples R China
[2] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源
AIMS MATHEMATICS | 2023年 / 8卷 / 06期
关键词
octonion algebra; neural networks; stability; weighted pseudo almost periodic solutions; delays; GLOBAL EXPONENTIAL STABILITY; ANTIPERIODIC SOLUTIONS; SYNCHRONIZATION;
D O I
10.3934/math.2023760
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
引用
收藏
页码:14867 / 14893
页数:27
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