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首页> 外文期刊>International journal of nonlinear sciences and numerical simulation >Bursting Oscillations near Codimension-Two Bifurcations in the Chay Neuron Model
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Bursting Oscillations near Codimension-Two Bifurcations in the Chay Neuron Model

机译：Chay神经元模型中Codimension-两个分叉附近的爆裂振荡

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摘要

It is important to study neural firing patterns based on bifurcation scenarios of neurons. In this paper, the transition mechanisms of different firing types in the Chay neuron model arc investigated by using two-parameter bifurcations and fast/slow dynamic analysis, in which special attention is paid to the codim-2 bifurcations related to the change of bursting types. It is concluded that the codim-2 cusp (CP) bifurcation is essential to the "fold/fold" bursting oscillation. Moreover, there are also two types of bursting oscillations near the codim-2 Bogdanov-Takens (BT) bifurcation, that is, "fold/Hopf bursting and "fold/homoclinic" bursting.
机译：研究基于神经元分叉场景的神经激发模式非常重要。本文通过两参数分叉和快/慢动力学分析研究了Chay神经元模型中不同激发类型的转变机制，其中特别注意与爆发类型变化有关的codim-2分叉。 。结论是codim-2尖点（CP）分叉对于“折叠/折叠”爆发振荡至关重要。此外，在codim-2 Bogdanov-Takens（BT）分叉附近还存在两种类型的猝发振荡，即“褶皱/霍普夫猝发”和“褶皱/单斜”猝发。

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