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Fractional-order bidirectional associate memory (BAM) neural networks with multiple delays: The case of Hopf bifurcation

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成果类型:
期刊论文
作者:
Xu, Changjin*;Liu, Zixin;Liao, Maoxin;Li, Peiluan;Xiao, Qimei;...
通讯作者:
Xu, Changjin
作者机构:
[Xu, Changjin] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.
[Liu, Zixin] 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.
[Li, Peiluan] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China.
[Xiao, Qimei] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.
通讯机构:
[Xu, Changjin] G
Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.
语种:
英文
关键词:
Laplace transforms;Neural networks;Stability;BAM neural network;Critical value;Differential systems;Effect of parameters;Fractional order;Multiple delays;Stability theories;Vital effects;Hopf bifurcation
期刊:
Mathematics and Computers in Simulation
ISSN:
0378-4754
年:
2021
卷:
182
页码:
471-494
基金类别:
This work is supported by National Natural Science Foundation of China (Nos. 61673008 and 62062018 ) and Project of High-level Innovative Talents of Guizhou Province, PR China ( [2016]5651 ) and Major Research Project of The Innovation Group of The Education Department of Guizhou Province, PR China ( [2017]039 ), Hunan Provincial Natural Science Foundation of China (No. 2020JJ4516 ), Key Project of Hunan Education Department, PR China ( 17A181 ), Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering ( Changsha University of Science & Technology, PR China ) ( 2018MMAEZD21 ), University Science and Technology Top Talents Project of Guizhou Province, PR China ( KY[2018]047 ), Foundation of Science and Technology of Guizhou Province, PR China ( [2019]1051 ), Guizhou University of Finance and Economics, PR China ( 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:
The stability and Hopf bifurcation have important effect on the design of neural networks. By revealing the effect of parameters on the stability and Hopf bifurcation of neural networks, we can better apply neural networks to serve humanity. This article is principally concerned with the stability and the emergence of Hopf bifurcation of fractional-order BAM neural networks with multiple delays. Applying Laplace transform, stability theory and Hopf bifurcation knowledge of fractional-order differential systems, we establish a new sufficient condition to ensure the stability and the emergence o...

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