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Influence of multiple time delays on bifurcation of fractional-order neural networks

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成果类型:
期刊论文
作者:
Xu, Changjin*;Liao, Maoxin;Li, Peiluan;Guo, Ying;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, Guizhou, 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 S Univ, Sch Informat Sci & Engn, Changsha 410083, Hunan, Peoples R China.
[Xiao, Qimei] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.
通讯机构:
[Xu, Changjin] G
Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Guizhou, Peoples R China.
语种:
英文
关键词:
Neural networks;Hopf bifurcation;Stability;Fractional order;Delay
期刊:
Applied Mathematics and Computation
ISSN:
0096-3003
年:
2019
卷:
361
页码:
565-582
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61673008]; Project of High-level Innovative Talents of Guizhou Province [[2016]5651]; Major Research Project of The Innovation Group of The Education Department of Guizhou Province [[2017]039]; Project of Key Laboratory of Guizhou Province with Financial and Physical Features [[2017]004]; Foundation of Science and Technology of Guizhou Province [[2018]1025, [2018]1020]; Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (Changsha University of Science Technology) [2018MMAEZD21]; Innovative Exploration Project of Guizhou University of Finance and Economics [[2017]5736-015]
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
In this article, on the basis of predecessors, works, we will propose a new fractional-order neural network model with multiple delays. Letting two different delays be bifurcation parameters and analyzing the corresponding characteristic equations of considered model, we will establish a set of new sufficient criteria to guarantee the stability and the appearance of Hopf bifurcation of fractional-order network model with multiple delays. The impact of two different delays on the stability behavior and the emergence of Hopf bifurcation of involved network model is revealed. The influence of the...

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