宿州学院学报2026，Vol.41Issue(3)：8-14,7.DOI:10.3969/j.issn.1673-2006.2026.03.002
八元数值细胞神经网络(μ,ν)-伪概周期解的存在性
Existence of(μ,ν)-Pseudo Almost Periodic Solutions for Octonion-Valued Cellular Neural Networks
摘要
Abstract
This paper explored the existence and uniqueness of(μ,ν)-pseudo almost periodic solutions for octonion-valued cellular neural networks with time delays in the connection terms.Since the multiplication of octonion-valued does not satisfy associativity or commutativity,analyzing the dynamic behavior of octonion-valued cellular neural net-works holds significant importance.First,a method independent of system decomposition is proposed to convert the original cellular neural network into an integral equation.Since the space composed of pseudo-almost periodic solu-tions is complete,an appropriate Banach space is established.Second,based on the integral equation,by comprehen-sively using the contraction mapping principle,Lebesgue's dominated convergence theorem,and differential inequa-lity techniques,the existence and uniqueness of the(μ,ν)-pseudo almost periodic solution of the system are proved,and easily verifiable criteria are obtained.Lastly,a numerical simulation is carried out to validate the feasibility of the results.关键词
(μ,ν)-伪概周期解/存在性/时滞Key words
(μ,ν)-pseudo almost periodic solution/existence/time delay分类
数理科学引用本文复制引用
霍妮娜,徐玉莹..八元数值细胞神经网络(μ,ν)-伪概周期解的存在性[J].宿州学院学报,2026,41(3):8-14,7.基金项目
安徽省自然科学基金项目(2108085QA10) （2108085QA10）
安徽省高校自然科学研究项目(2022AH051782). （2022AH051782）
