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Bifurcation Properties for Fractional Order Delayed BAM Neural Networks

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成果类型:
期刊论文
作者:
Xu, Changjin*;Liao, Maoxin;Li, Peiluan;Guo, Ying;Liu, Zixin
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.
[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.
[Guo, Ying] Cent South Univ, Sch Automat, Changsha 410083, Peoples R China.
[Liu, Zixin] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550004, 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:
BAM neural networks;Stability;Hopf bifurcation;Fractional order;Delay;Leakage delay
期刊:
Cognitive Computation
ISSN:
1866-9956
年:
2021
卷:
13
期:
2
页码:
322-356
基金类别:
The work is supported by National Natural Science Foundation of China (No.61673008 and No.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), Key Project of Hunan Education Department (17A181), Natural Science Foundation of Hunan Province (2020JJ4516), 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), Guizhou University of Finance and Economics(2018XZD01) and Foundation of Science and Technology of Guizhou Province ([2019]1051).
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
In the past several decades, many papers involving the stability and Hopf bifurcation of delayed neural networks have been published. However, the results on the stability and Hopf bifurcation for fractional order neural networks with delays and fractional order neural networks with leakage delays are very rare. This paper is concerned with the stability and the existence of Hopf bifurcation of fractional order BAM neural networks with or without leakage delay. The Laplace transform, stability and bifurcation theory of fractional-order differential equations and Matlab software will be applied...

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