Novel results on bifurcation for a fractional-order complex-valued neural network with leakage delay

被引：30

作者：

Yuan, Jun ^{[1
]}

Zhao, Lingzhi ^{[1
]}

Huang, Chengdai ^{[2
]}

Xiao, Min ^{[3
]}

机构：

[1] Nanjing Xiaozhuang Univ, Sch Informat Engn, Nanjing 211171, Jiangsu, Peoples R China

[2] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China

[3] Nanjing Univ Posts & Telecommun, Coll Automat, Nanjing 210003, Jiangsu, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 514卷

基金：

中国国家自然科学基金;

关键词：

Leakage delays; Stability; Hopf bifurcation; Fractional order; Complex-valued neural networks; STABILITY ANALYSIS; HOPF BIFURCATIONS; TIME DELAYS;

D O I：

10.1016/j.physa.2018.09.138

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper primarily investigates the impact of leakage delay on bifurcation for a fractional order complex-valued neural network. By means of time delay as a bifurcation parameter, the bifurcation conditions are precisely determined of the proposed novel system. It is pointed out that the stability performance of the addressed fractional neural network is extremely undermined when leakage delay appears by utilizing comparative numerical analysis, they cannot be discarded. Our obtained results enormously generalizes and enhances the existing ones in literatures. Numerical simulations are presented to verify the validity of the obtained results. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：868 / 883

页数：16

共 28 条

[1]

Ahmed E., 2012, PHYSICA A, V379, P607

[2]

Bhalekar S., 2011, J. Fract. Calc. Appl., V1, P1, DOI DOI 10.1155/2011/250763

[3] Stability analysis for coupled systems with time delay on networks [J].

Chen, Hao ;

Sun, Jitao .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2012, 391 (03) :528-534

[4]

Deng WH, 2007, NONLINEAR DYNAM, V48, P409, DOI 10.1007/s11071 -006-9094-0

[5] Global asymptotic stability of nonautonomous Cohen-Grossberg neural network models with infinite delays [J].

Esteves, Salete ;

Oliveira, Jose J. .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 265 :333-346

[6] Neural network retrieval of cloud parameters of inhomogeneous and fractional clouds - Feasibility study [J].

Faure, T ;

Isaka, H ;

Guillemet, B .

REMOTE SENSING OF ENVIRONMENT, 2001, 77 (02) :123-138

[7] Multistability of complex-valued neural networks with distributed delays [J].

Gong, Weiqiang ;

Liang, Jinling ;

Zhang, Congjun .

NEURAL COMPUTING & APPLICATIONS, 2017, 28 :S1-S14

[8] APPLICATIONS OF COMPLEX-VALUED NEURAL NETWORKS TO COHERENT OPTICAL COMPUTING USING PHASE-SENSITIVE DETECTION SCHEME [J].

HIROSE, A .

INFORMATION SCIENCES-APPLICATIONS, 1994, 2 (02) :103-117

[9] Impact of leakage delay on bifurcation in high-order fractional BAM neural networks [J].

Huang, Chengdai ;

Cao, Jinde .

NEURAL NETWORKS, 2018, 98 :223-235

[10] New bifurcation results for fractional BAM neural network with leakage delay [J].

Huang, Chengdai ;

Meng, Yijie ;

Cao, Jinde ;

Alsaedi, Ahmed ;

Alsaadi, Fuad E. .

CHAOS SOLITONS & FRACTALS, 2017, 100 :31-44

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