Design of bursting in two-dimensional discrete-time neuron models
Design of bursting in two-dimensional discrete-time neuron models
复制标题
二维离散时间神经元模型的突发设计
DOI：
10.1109/iscas.2004.1329110
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
T. Ushio
中科院分区：
文献类型：
--
作者：
Hiroto Tanaka;T. Ushio
利用分岔理论，提出了一种具有指定平均角频率和占空比的突发神经元模型的设计方法。模型中存在一些双周期点对。当两个周期点发生Hopf分支时，存在两对围绕每个两个周期点的非孤立不变闭曲线。所提出的设计方法导出模型中的参数和初始条件。仿真结果表明了该设计方法的有效性。
We propose a design method for bursting neuron models with a specified average angular frequency and duty ratio by using the bifurcation theory . There are some pairs of two-periodic points in the models. When a Hopf bifurcation for the two-periodic points occurs, there exist two pairs of non-isolated invariant closed curves surrounding each two-periodic point. The proposed design method derives parameters and initial conditions in the models. We also show the effectivity of the proposed design method by simulation.