| 含时滞和I_(h)流的神经元的同步放电行为 |
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| 引用本文： | 关利南,张新景,申建伟. 含时滞和I_(h)流的神经元的同步放电行为[J]. 动力学与控制学报, 2023, 21(8): 24-30 |
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| 作者姓名： | 关利南 张新景 申建伟 |
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| 作者单位： | 华北水利水电大学 数学与统计学院,郑州 450045 |
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| 基金项目： | 国家自然科学基金资助项目(12272135,12202146),河南省自然科学基金资助项目(212300410196),河南省教育厅资助项目(23A110011) |
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| 摘 要： | 本文研究了时滞和超极化激活的阳离子流I_(h)对抑制耦合的水蛭神经元的同步放电行为的调控.通过数值仿真揭示了时滞、耦合强度和I_(h)流都能诱发丰富的同步转迁行为,如从同步的周期-6簇放电到同步的周期-1簇放电.借助ISI分岔和快慢变量分离方法获得了I_(h)流诱导同步转迁行为的动力学原因.研究结果表明,时滞和I_(h)流都是影响水蛭神经元同步行为的重要因素.
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| 关 键 词： | 神经元 时滞 超极化激活的阳离子流 同步 分岔 |
| 收稿时间： | 2023-03-20 |
| 修稿时间： | 2023-06-25 |
Synchronous Firing Behaviors of Neurons with Time Delay and Ih Current |
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| Guan Linan,Zhang Xinjing,Shen Jianwei. Synchronous Firing Behaviors of Neurons with Time Delay and Ih Current[J]. Journal of Dynamics and Control, 2023, 21(8): 24-30 |
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| Authors: | Guan Linan Zhang Xinjing Shen Jianwei |
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| Affiliation: | 1.School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou450045; |
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| Abstract: | In this paper, we investigate the regulation of the synchronous firing behavior of leech neurons with inhibitory coupling by time delay and hyperpolarization-activated cation current Ih. Numerical simulations reveal that time delay, coupling strength, and Ihcurrent can all induce rich synchronous transition behaviors, such as from synchronous period-6 bursting to synchronous pcriod-1 bursting. By means of ISI bifurcation and fast-slow variable dissection method, the dynamic reasons of Ihcurrent induced synchronous transition behavior are obtained. The results show that both time delay and Ihcurrent are important factors affecting the synchronous behavior of leech neurons. © 2023 Journal of Dynamics and Control. All rights reserved. |
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| Keywords: | neuron time delay hyperpolarization activated cation current synchronization bifurcation |
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