New results on bifurcation for fractional-order octonion-valued neural networks involving delays*

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作者信息关键词期刊信息基础信息归属信息摘要

成果类型：

期刊论文

作者：

Xu, Changjin;Lin, Jinting;Zhao, Yingyan;Cui, Qingyi;Ou, Wei;...

通讯作者：

Xu, CJ

作者机构：

[Xu, Changjin; Xu, CJ] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.

[Zhao, Yingyan; Cui, Qingyi; Lin, Jinting; Liu, Zixin; Pang, Yicheng; Ou, Wei] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang, Peoples R China.

[Liao, Maoxin] Univ South China, Sch Math & Phys, Hengyang, Peoples R China.

[Li, Peiluan] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang, Peoples R China.

通讯机构：

[Xu, CJ ] G

Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.

语种：

英文

关键词：

Fractional-order octonion-valued neural networks;existence and uniqueness;boundedness;stability;Hopf bifurcation;bifurcation diagram

期刊：

NETWORK-COMPUTATION IN NEURAL SYSTEMS

ISSN：

0954-898X

年：

2023

卷：

期：

页码：

545-597

DOI：

10.1080/0954898X.2024.2332662

基金类别：

National Natural Science Foundation of China [61673008, 62062018]; Project of High-level Innovative Talents of Guizhou Province [[2016] 5651]

机构署名：

本校为其他机构

院系归属：

数理学院

摘要：

This work chiefly explores fractional-order octonion-valued neural networks involving delays. We decompose the considered fractional-order delayed octonion-valued neural networks into equivalent real-valued systems via Cayley-Dickson construction. By virtue of Lipschitz condition, we prove that the solution of the considered fractional-order delayed octonion-valued neural networks exists and is unique. By constructing a fairish function, we confirm that the solution of the involved fractional-order delayed octonion-valued neural networks is bou...

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New results on bifurcation for fractional-order octonion-valued neural networks involving delays*

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