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

被引:54
|
作者
Li, Peiluan [1 ]
Gao, Rong [1 ]
Xu, Changjin [2 ,3 ]
Shen, Jianwei [4 ]
Ahmad, Shabir [5 ]
Li, Ying [1 ]
机构
[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China
[2] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China
[3] Guizhou Key Lab Big Data Stat Anal, Guiyang 550025, Peoples R China
[4] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Peoples R China
[5] Univ Malakand, Dept Math, Khyber Pakhtunkhwa, Pakistan
基金
中国国家自然科学基金;
关键词
BAM neural network models; Property of solution; Time delay; Hopf bifurcation; Stability; EXPONENTIAL STABILITY; TIME; SYSTEM;
D O I
10.1007/s11063-023-11392-0
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 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:41
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