椭圆突发模型的电压区间映射
Voltage interval mappings for an elliptic bursting model
摘要：
我们采用Poincaré返回映射的参数区间的一个示例性的椭圆爆发模型，FitzHugh-Nagumo-Rinzel模型。使用的间隔映射，我们能够详细研究的分叉，背后的复杂活动之间的过渡：紧张尖峰和爆发，爆发和混合模式振荡，最后，混合模式振荡和静止的FitzHugh-Nagumo-Rinzel模型。我们说明了丰富的信息，定性和定量，这是来自庞加莱映射，神经元模型和类似的（电）化学系统。
英文摘要：
We employed Poincaré return mappings for a parameter interval to an exemplary elliptic bursting model, the FitzHugh-Nagumo-Rinzel model. Using the interval mappings, we were able to examine in detail the bifurcations that underlie the complex activity transitions between: tonic spiking and bursting, bursting and mixed-mode oscillations, and finally, mixed-mode oscillations and quiescence in the FitzHugh-Nagumo-Rinzel model. We illustrate the wealth of information, qualitative and quantitative, that was derived from the Poincaré mappings, for the neuronal models and for similar (electro)chemical systems.
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