数学杂志2023，Vol.43Issue(5)：377-388,12.
具有时滞反馈控制的分数阶HR神经元模型的动力学分析
DYNAMICS ANALYSIS FOR THE FRACTIONAL-ORDER HINDMARSH-ROSE NEURONAL MODEL WITH TIME-DELAY FEEDBACK CONTROL
摘要
Abstract
In this paper,we study the dynamics of the fractional-order Hindmarsh-Rose(HR)neuronal model with time-delay feedback control.Using stability theory and bifurcation analysis method,the effects of fractional order and time-delay on equilibrium stability,bifurcation and dis-charge behavior are investigated in detail.At the same time,the analytical conditions for Hopf bifurcation in fractional-order model are obtained,and the relevant results of the integer-order HR neuronal model with time-delay feedback control are extended.关键词
分数阶/Hopf分岔/时滞反馈控制/稳定性/HR神经元模型Key words
fractional-order/Hopf bifurcation/time-delay feedback control/stability/Hindmarsh-Rose neuronal model分类
数学引用本文复制引用
王添,王海侠..具有时滞反馈控制的分数阶HR神经元模型的动力学分析[J].数学杂志,2023,43(5):377-388,12.基金项目
Supported by National Natural Science Foundation of China(12272062). （12272062）
