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Impact of leakage delay on bifurcation in fractional-order complex-valued neural networks

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成果类型:
期刊论文
作者:
Xu, Changjin;Liao, Maoxin;Li, Peiluan;Yuan, Shuai
通讯作者:
Changjin Xu
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.
[Yuan, Shuai] Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China.
通讯机构:
[Changjin Xu] G
Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, PR China
语种:
英文
关键词:
Complex-valued neural networks;Hopf bifurcation;Leakage delay;Stability;Fractional order
期刊:
CHAOS SOLITONS & FRACTALS
ISSN:
0960-0779
年:
2021
卷:
142
页码:
110535
基金类别:
National 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]; Innovative Exploration Project of Guizhou University of Finance and Economics [[2017]5736-015]; Project of Key Laboratory of Guizhou Province with Financial and Physical Features [[2017]004]; 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]
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
During the past decades, integer-order complex-valued neural networks have attracted great attention since they have been widely applied in in many fields of engineering technology. However, the investigation on fractional-order complex-valued neural networks, which are more appropriate to characterize the dynamical nature of neural networks, is rare. In this manuscript, we are to consider the stability and the existence of Hopf bifurcation of fractional-order complex-valued neural networks. By separating the coefficients and the activation functions into their real and imaginary parts and cho...

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