Hopf Bifurcation of General Fractional Delayed TdBAM Neural Networks

被引:4
作者
Rakshana, M. [1 ]
Balasubramaniam, P. [1 ]
机构
[1] Gandhigram Rural Inst Deemed Univ, Dept Math, Gandhigram 624302, Tamil Nadu, India
关键词
Fractional order derivative; Stability; Hopf bifurcation; Tri-diagonal BAM neural network; Leakage delay; Communication delay;
D O I
10.1007/s11063-023-11302-4
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, a fractional model of a special structure of bidirectional associative memory (BAM) neural networks called tri-diagonal BAM neural networks (TdBAMNNs) is considered. The Hopf bifurcation analysis is made for the proposed fractional system in the presence of leakage and communication delays. The feasibility of the obtained theoretical results is verified by numerical simulations.
引用
收藏
页码:8095 / 8113
页数:19
相关论文
共 26 条
[1]   On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rossler, Chua and Chen systems [J].
Ahmed, E. ;
El-Sayed, A. M. A. ;
El-Saka, Hala A. A. .
PHYSICS LETTERS A, 2006, 358 (01) :1-4
[2]   Global stability analysis of fractional-order fuzzy BAM neural networks with time delay and impulsive effects [J].
Ali, M. Syed ;
Narayanan, G. ;
Sevgen, Selcuk ;
Shekher, Vineet ;
Arik, Sabri .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 78
[3]   Discrete Fractional-Order BAM Neural Networks with Leakage Delay: Existence and Stability Results [J].
Alzabut, Jehad ;
Tyagi, Swati ;
Abbas, Syed .
ASIAN JOURNAL OF CONTROL, 2020, 22 (01) :143-155
[4]   DYNAMICS OF A FRACTIONAL-ORDER BAM NEURAL NETWORK WITH LEAKAGE DELAY AND COMMUNICATION DELAY [J].
Huang, Chengdai ;
Liu, Heng ;
Chen, Yuefen ;
Chen, Xiaoping ;
Song, Fang .
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (03)
[5]   Bifurcations in a fractional-order BAM neural network with four different delays [J].
Huang, Chengdai ;
Wang, Juan ;
Chen, Xiaoping ;
Cao, Jinde .
NEURAL NETWORKS, 2021, 141 :344-354
[6]   Bifurcations in a fractional-order neural network with multiple leakage delays [J].
Huang, Chengdai ;
Liu, Heng ;
Shi, Xiangyun ;
Chen, Xiaoping ;
Xiao, Min ;
Wang, Zhengxin ;
Cao, Jinde .
NEURAL NETWORKS, 2020, 131 :115-126
[7]   Impact of leakage delay on bifurcation in high-order fractional BAM neural networks [J].
Huang, Chengdai ;
Cao, Jinde .
NEURAL NETWORKS, 2018, 98 :223-235
[8]   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
[9]   Effect of Leakage Delay on Hopf Bifurcation in a Fractional BAM Neural Network [J].
Lin, Jiazhe ;
Xu, Rui ;
Li, Liangchen .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (06)
[10]  
Podlubny I., 1999, Fractional differential equations, mathematics in science and engineering, DOI DOI 10.12691/AJMA-1-1-3