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New insight into bifurcation of fractional-order 4D neural networks incorporating two different time delays

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成果类型:
期刊论文
作者:
Xu, Changjin;Mu, Dan;Liu, Zixin;Pang, Yicheng;Liao, Maoxin;...
通讯作者:
Changjin Xu
作者机构:
[Xu, Changjin] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.
[Mu, Dan; Liu, Zixin; Pang, Yicheng] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550004, Peoples R China.
[Liao, Maoxin] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
[Aouiti, Chaouki] Univ Carthage, Fac Sci Bizerta, UR13ES47 Res Units Math & Applicat, Bizerte 7021, Tunisia.
通讯机构:
[Changjin Xu] G
Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, PR China
语种:
英文
关键词:
Boundedness;Delay;Existence and uniqueness;Fractional-order 4D neural networks;Hopf bifurcation;Stability
期刊:
Communications in Nonlinear Science and Numerical Simulation
ISSN:
1007-5704
年:
2023
卷:
118
页码:
107043
基金类别:
This work is supported by National Natural Science Foundation of China (No. 12261015 , No. 62062018 ), Guizhou Key Laboratory of Big Data Statistical Analysis (No. [2019]5103 ), Project of High-level Innovative Talents of Guizhou Province ( [2016]5651 ), Key Project of Hunan Education Department ( 17A181 ), University Science and Technology Top Talents Project of Guizhou Province ( KY[2018]047 ), Foundation of Science and Technology of Guizhou Province ( [2019]1051 ), Guizhou University of Finance and Economics ( 2018XZD01 ). The authors would like to thank the referees and the editor for helpful suggestions incorporated into this paper.
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
Delay has a vital influence on the dynamics of neural networks. Exploring the effect of time delay on the dynamics of neural networks has become a hot issue in mathematics and engineering fields. In this current manuscript, on the basis of the earlier publications, we put forward a new fractional-order 4D neural networks incorporating two different time delays. First of all, the existence and uniqueness, boundedness of the solution of the fractional-order 4D neural networks incorporating two different time delays. are analyzed by applying contraction mapping principle, construct of an adaptive...

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