|
| 摘要: |
| 本文研究了具有时滞反馈控制的分数阶Hindmarsh-Rose(HR)神经元模型的动力学性质.利用稳定性理论和分岔分析方法,详细研究了分数阶阶数和时滞对系统平衡点稳定性、分岔和放电行为的影响.同时获得了在分数阶模型中产生Hopf分岔的解析条件,推广了具有时滞反馈控制的整数阶HR神经元模型的相关结果. |
| 关键词: 分数阶 Hopf分岔 时滞反馈控制 稳定性 HR神经元模型 |
| DOI： |
| 分类号:O175.1;O193 |
| 基金项目: |
|
| DYNAMICS ANALYSIS FOR THE FRACTIONAL-ORDER HINDMARSH-ROSE NEURONAL MODEL WITH TIME-DELAY FEEDBACK CONTROL |
|
WANG Tian,WANG Hai-xia
|
| 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 discharge 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. |
| Key words: fractional-order Hopf bifurcation time-delay feedback control stability Hindmarsh-Rose neuronal model |
