Exploring the Impact of Delay on Hopf Bifurcation of a Type of BAM Neural Network Models Concerning Three Nonidentical Delays

被引:0
作者
Peiluan Li
Rong Gao
Changjin Xu
Jianwei Shen
Shabir Ahmad
Ying Li
机构
[1] Henan University of Science and Technology,School of Mathematics and Statistics
[2] Guizhou University of Finance and Economics,Guizhou Key Laboratory of Economics System Simulation
[3] Guizhou Key Laboratory of Big Data Statistical Analysis,School of Mathematics and Statistics
[4] North China University of Water Resources and Electric Power,Department of Mathematics
[5] University of Malakand,undefined
来源
Neural Processing Letters | 2023年 / 55卷
关键词
BAM neural network models; Property of solution; Time delay; Hopf bifurcation; Stability;
D O I
暂无
中图分类号
学科分类号
摘要
In this research, a kind of BAM neural networks containing three nonidentical time delays are explored. Exploiting fixed point knowledge, we examine that the solution to the concerned BAM neural network models exists and is unique. Exploiting a apposite function, we check that the solution to the concerned BAM neural network models is bounded. In line with different delay cases, we systematically analyze the characteristic equations of the concerned BAM neural network models. A set of innovative bifurcation criteria of the concerned BAM neural network models under the six delay situations are acquired. The impact of delay is adequately revealed under different delay cases. The research indicates that delay plays a pivotal role in dominating stability domain and the time that Hopf bifurcation arises. of the concerned BAM neural networks. In order to sustain the theoretical assertions, we present the corresponding software simulation plots. The acquired conclusion of this research are completely novel and has momentous theoretical values in dominating and devising networks.
引用
收藏
页码:11595 / 11635
页数:40
相关论文
共 134 条
[1]  
Dong T(2013)Hopf–Pitchfork bifurcation in a simplified BAM neural network model with multiple delays J Comput Appl Math 253 222-234
[2]  
Liao XF(2005)Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays Physica D 200 185-204
[3]  
Song YL(2016)Stability switches and bifurcation analysis in a coupled neural system with multiple delays Sci China Technol Sci 59 920-931
[4]  
Han MA(2021)Novel results on global stability analysis for multiple time-delayed BAM neural networks under parameter uncertainties Chaos, Solitons Fractals 152 585-592
[5]  
Wei JJ(2021)Fixed-time synchronization for complex-valued BAM neural networks with time-varying delays via pinning control and adaptive pinning control Chaos, Solitons Fractals 153 471-494
[6]  
Ge JH(2020)Anti-synchronization for periodic BAM neural networks with Markov scheduling protocol Neurocomputing 417 160-173
[7]  
Xu J(2021)Fractional-order bidirectional associate memory (BAM) neural networks with multiple delays: The case of Hopf bifurcation Math Comput Simul 182 259-269
[8]  
Mohamed Thoiyab N(2020)Global Mittag-Leffler stability analysis of impulsive fractional-order complex-valued BAM neural networks with time varying delays Commun Nonlinear Sci Numer Simul 83 3091-3114
[9]  
Muruganantham P(2022)Measure-pseudo almost periodic dynamical behaviors for BAM neural networks with D operator and hybrid time-varying delays Neurocomputing 486 322-356
[10]  
Zhu QX(2019)Existence and global exponential stability of anti-periodic solution for Clifford-valued inertial CohenCGrossberg neural networks with delays Neurocomputing 332 2726-2756