两个非耦合Hindmarsh-Rose神经元同步的非线性特征研究

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利用Hindmarsh Rose(HR)神经元输出的膜电压作为刺激调整两个具有不同初始条件的非耦合HR神经元的电流输入,通过分析神经元放电峰峰间期(ISI)的分布揭示了两个神经元同步过程轨道演化的机理.在周期信号刺激下,两个具有相同参数原处于混沌状态的神经元可以实现完全同步,且可以同步到不同于刺激信号频率的周期响应上;两个具有不同参数的神经元可以实现相位同步,参数差别较小的两个神经元可以相位同步到与刺激信号不同频率的周期响应上,参数差别较大的两个神经元只可能相位同步到与刺激信号相同频率的周期响应上.混沌信号刺激两个神经元只可能同步到产生混沌信号神经元的放电模式上,可见混沌刺激更有利于神经元信息编码与解码.分析两个被调整神经元系统的最大条件Lyapunov指数(Lmc)与刺激强度k的关系表明当k达到某一阈值时两个系统的Lmc均为负值是两个系统实现同步的必要条件.平均发放率相同的混沌刺激和周期刺激相比较混沌刺激更容易使两个神经元实现同步,表明混沌刺激产生的效应更强,该结论与实验结果相符合. Using the voltage output from the Hindmarsh Rose (HR) neurons as a stimulus to adjust the current inputs of two uncoupled HR neurons with different initial conditions, the distribution of the interpharmacokinetic peak (ISI) of neurons was revealed by analyzing the distribution of the two neurons The mechanism of orbital evolution during meta-synchronous process is that the two neurons with the same parameters in the chaotic state can be completely synchronized and can be synchronized to the periodic response different from the stimulus signal under the stimulation of periodic signal. Two neurons with different parameters Of the neurons can achieve phase synchronization, the two neurons with small difference of parameters can be phase-synchronized to the periodic response of different frequency with the stimulus signal. The two neurons with larger difference in parameters can only be phase-synchronized to the same frequency as the stimulus signal The chaotic signal stimulates the two neurons to synchronize only to the discharge pattern of the chaotic signal neuron.It can be seen that the chaotic stimulation is more conducive to the neuron information encoding and decoding.The maximum condition The relationship between Lyapunov exponent (Lmc) and stimulus intensity k shows that Lmc of both systems are Value is the necessary condition for the two systems to achieve synchronization.The chaotic stimulation with the same average delivery rate and the periodic stimulation are more likely to synchronize the two neurons than the chaotic stimulation and show that the chaotic stimulation produces stronger effects. meets the.
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