DYNAMICAL ANALYSIS OF A TRI-NEURON FRACTIONAL NETWORK

被引：5

作者：

Huang, Cheng-dai ^{[1
,2
,3
]}

Cao, Jin-de ^{[1
,2
,4
]}

Xiao, Min ^{[5
]}

Alsaedi, Ahmed ^{[6
]}

Alsaadi, Fuad E. ^{[7
]}

Hayat, Tasawar ^{[8
,9
]}

机构：

[1] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210996, Jiangsu, Peoples R China

[2] Southeast Univ, Sch Math, Nanjing 210996, Jiangsu, Peoples R China

[3] Hubei Univ Arts & Sci, Sch Math & Comp Sci, Xiangyang 441053, Peoples R China

[4] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China

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

[6] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

[7] King Abdulaziz Univ, Dept Elect & Comp Engn, Fac Engn, Jeddah 21589, Saudi Arabia

[8] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

[9] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan

来源：

ASIAN JOURNAL OF CONTROL | 2017年 / 19卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Fractional order; stability; Hopf bifurcation; system parameter; neural networks; FINITE-TIME STABILITY; BIFURCATION-ANALYSIS; APPROXIMATION; EQUATIONS; MODELS; DELAY;

D O I：

10.1002/asjc.1527

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The present paper concerns with the dynamics of a fractional neural network involving three neurons. Firstly, the bifurcation point is identified for which Hopf bifurcations may occur by taking the system parameter as a bifurcation parameter via the stability analysis of fractional systems. It is indicated that the system parameter can significantly affect the dynamical properties of such network. Secondly, the impact of the order on the bifurcation point is carefully examined. It is found that the occurrence of bifurcation is delayed as the order increases as long as the other system parameters are established. Finally, a numerical example is exploited to verify the efficiency of theoretical results.

引用

页码：2042 / 2050

页数：9

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