Nonlinear dynamics of a three-dimensional discrete-time delay neural network  

作　　者：Parvaiz Ahmad Naik Zohreh Eskandari 

机构地区：[1]Department of Mathematics and Computer Science Youjiang Medical University for Nationalities Baise Guangri,P.R.China [2]Department of Mathematics,Faculty of Science FasaUniversity,Fasa,Iran

出　　处：《International Journal of Biomathematics》2024年第6期161-175,共15页生物数学学报(英文版)

基　　金：This study was supported by Research Funding from the Youjiang Medical University for Nationalities under grant number yy2023rcky002;the National Natural Science Foundation of China under grant number 62162063.

摘　　要：This paper examines a three-dimensional delayed discrete neural network model analytically and numerically to determine the existence of different types of bifurcations of the involved fixed points.The model exhibits different bifurcations such as pitchforks,fips,Neimark-Sackers,and fip-Neimark-Sackers.The critical coefficients are used to determine the structure of each bifurcation.The curves are calculated and plotted for each bifurcation when the parameters are changed.Further,these bifurcations are theoretically analyzed and numerically verified.From the obtained results,we observed that by drawing the curves associated with each bifurcation,the numerical simulations are consistent with the analytical results.

关 键 词：Hopfield neural network time delay STABILITY BIFURCATION numerical continuation 

分 类 号：O17[理学—数学]