A Novel Generalized PWC Neuron Model: Theoretical Analyses and Efficient Design of Bifurcation Mechanisms of Bursting
A Novel Generalized PWC Neuron Model: Theoretical Analyses and Efficient Design of Bifurcation Mechanisms of Bursting
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DOI：
10.1109/tcsii.2017.2760509
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发表时间：
2018-11
期刊：
影响因子：
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通讯作者：
Chiaki Matsuda;H. Torikai
中科院分区：
文献类型：
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作者：
Chiaki Matsuda;H. Torikai
分段常数 (PWC) 神经元模型是一种电子电路神经元模型，具有 PWC 矢量场。在本文中，提出了一种新颖的广义 PWC 神经元模型，以重现在 Hodgkin-Huxley 型神经元模型中观察到的基本爆发分叉机制。借助 PWC 矢量场，可以从理论上分析该模型的分岔机制。然后表明理论分析结果对于所提出模型的有效设计是有用的。实现了如此设计的模型，并且电路实验验证了突发和分叉的发生。
A piece-wise constant (PWC) neuron model is an electronic circuit neuron model, which has a PWC vector field. In this brief, a novel generalized PWC neuron model is presented in order to reproduce fundamental bifurcation mechanisms of bursting observed in a Hodgkin–Huxley type neuron model. Thanks to the PWC vector field, the bifurcation mechanisms of the presented model can be analyzed theoretically. It is then shown that the theoretical analysis results are useful for efficient design of the presented model. A so designed model is implemented and circuit experiments validate occurrences of the bursting and the bifurcation.