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Hopf Bifurcation Analysis of a Delayed Fractional BAM Neural Network Model with Incommensurate Orders

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成果类型:
期刊论文
作者:
Li, Bingbing;Liao, Maoxin;Xu, Changjin;Li, Weinan
通讯作者:
Liao, Maoxin(maoxinliao@163.com)
作者机构:
[Li, Weinan; Li, Bingbing; Liao, Maoxin] Univ South China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
[Xu, Changjin] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Guizhou, Peoples R China.
通讯机构:
[Maoxin Liao] S
School of Mathematics and Physics, University of South China, Hengyang, People’s Republic of China
语种:
英文
关键词:
Neural networks;BAM neural network;Critical delays;Critical value;Equilibrium point;Fractional order;Fractional-order BAM neural network;Hopf bifurcation analysis;Incommensurate ordering;Multi-delays;Neural network model;Hopf bifurcation
期刊:
Neural Processing Letters
ISSN:
1370-4621
年:
2023
卷:
55
期:
5
页码:
5905-5921
基金类别:
Supported partly by the National Natural Science Foundation of China (12261015, 61673008), Joint Fund Project of Guizhou University of Finance and Economics and Institute of International Trade and Economic Cooperation of Ministry of Commerce on Contiguous areas of extreme poverty Poor peasant psychological Poverty alleviation(2017SWBZD09), Hunan Natural Science Foundation (2020JJ4516), Hunan Provincial Key Foundation of Education Department (17A181), Hunan Key Laboratory of Mathematical Modeling and Scientific Computing.
机构署名:
本校为第一机构
院系归属:
数理学院
摘要:
In this paper, a six-neuron incommensurate fractional order BAM neural network model with multi-delays is considered. We demonstrate that the equilibrium point of the system loses its stability and Hopf bifurcation emerges when the delay passes through a critical value. And the relationship between the critical delay of Hopf bifurcation and size of fractional orders is found. Finally, some numerical simulations are given to verify the validity of the theoretical results. © 2022, The Author(s), under exclusive licence to Sp...

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