Unidirectional synchronization of Hodgkin–Huxley neurons exposed to ELF electric field

Unidirectional synchronization of Hodgkin–Huxley neurons exposed to ELF electric field
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DOI:
10.1016/j.chaos.2007.05.016
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发表时间:
2009-02
影响因子:
7.8
通讯作者:
Jiang Wang;Y. Che;Sichu Zhou;Bin Deng
Jiang Wang;Y. Che;Sichu Zhou;Bin Deng
中科院分区:
数学1区
文献类型:
--
作者:
Jiang Wang;Y. Che;Sichu Zhou;Bin Deng

文献摘要

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本文提出了一种混合控制策略--H∞变论域自适应模糊控制,并将其应用于外电场作用下两个Hodgkin-Huxley(HH)神经元的同步控制。首先,建立了极低频外电场作用下HH神经元的修正模型,描述了其对正弦电场刺激的周期和混沌动力学响应。然后给出了两个HH神经元单向同步问题的描述。最后设计了H∞变论域自适应模糊控制器对HH系统进行同步,仿真结果验证了所提控制方法的有效性。
In this paper, a hybrid control strategy, H∞variable universe adaptive fuzzy control, is derived and applied to synchronize two Hodgkin–Huxley (HH) neurons exposed to external electric field. Firstly, the modified model of HH neuron exposed to extremely low frequency (ELF) external electric field is established and its periodic and chaotic dynamics in response to sinusoidal electric field stimulation are described. And then the statement of the problem for unidirectional synchronization of two HH neurons is given. Finally H∞variable universe adaptive fuzzy control is designed to synchronize the HH systems and the simulation results demonstrate the effectiveness of the proposed control method.