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Further investigation on bifurcation and their control of fractional-order bidirectional associative memory neural networks involving four neurons and multiple delays

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成果类型:
期刊论文
作者:
Xu, Changjin;Zhang, Wei;Aouiti, Chaouki;Liu, Zixin;Liao, Maoxin;...
通讯作者:
Zhang, Wei(wzha19680317@126.com)
作者机构:
[Xu, Changjin] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang, Peoples R China.
[Zhang, Wei] Guangzhou Univ, Coll Econ & Stat, Guangzhou 510006, Peoples R China.
[Aouiti, Chaouki] Univ Carthage, Res Units Math & Applicat, Fac Sci Bizerta, UR13ES47, Bizerte, Tunisia.
[Liu, Zixin] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang, Peoples R China.
[Liao, Maoxin] Univ South China, Sch Math & Phys, Hengyang, Peoples R China.
通讯机构:
[Wei Zhang; Wei Zhang Wei Zhang Wei Zhang] C
College of Economics and Statistics, Guangzhou University, Guangzhou, China
语种:
英文
关键词:
Associative processing;Associative storage;Delay control systems;Dynamical systems;Memory architecture;Neural networks;Neurons;Stability;Time delay;Bi-directional associative memory neural networks;Bifurcation diagram;Differential dynamical systems;Fractional order;Fractional-order bidirectional associative memory neural network;Multiple delays;Neural-networks;Stability theories;Sufficient criterion;Variable transformation;Hopf bifurcation
期刊:
Mathematical Methods in the Applied Sciences
ISSN:
0170-4214
年:
2023
卷:
46
期:
3
页码:
3091-3114
基金类别:
The authors were supported by National Natural Science Foundation of China (No.61673008 and 62062018) and Project of High‐level Innovative Talents of Guizhou Province ([2016]5651) and Major Research Project of The Innovation Group of The Education Department of Guizhou Province ([2017]039), Hunan Provincial Natural Science Foundation of China (No. 2020JJ4516), Key Project of Hunan Education Department (17A181), Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (Changsha University of Science & Technology) (2018MMAEZD21), University Science and Technology Top Talents Project of Guizhou Province (KY[2018]047), and Guizhou University of Finance and Economics (2018XZD01). The authors were supported by National Natural Science Foundation of China (No. 12261015, 61673008 and 62062018) and Project of High-level Innovative Talents of Guizhou Province ([2016]5651) and Major Research Project of The Innovation Group of The Education Department of Guizhou Province ([2017]039), Hunan Provincial Natural Science Foundation of China (No. 2020JJ4516), Key Project of Hunan Education Department (17A181), Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (Changsha University of Science & Technology) (2018MMAEZD21), University Science and Technology Top Talents Project of Guizhou Province (KY[2018]047), and Guizhou University of Finance and Economics (2018XZD01).
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
This work principally probes into the stability, the existence, and control of Hopf bifurcation of new established fractional-order delayed bidirectional associative memory (BAM) neural networks with four neurons. Firstly, based on the earlier study, we set up a class of new fractional-order multiple delayed BAM neural networks with four neurons. Secondly, applying an appropriate variable transformation, we get a new equivalent fractional-order single delayed BAM neural networks with four neurons. With the aid of the stability theory and bifurc...

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