Pinned solutions in a heterogeneous three-component FitzHugh-Nagumo model
Pinned solutions in a heterogeneous three-component FitzHugh-Nagumo model
复制标题
异构三分量 FitzHugh-Nagumo 模型中的固定解
DOI：
10.1007/s10884-018-9694-7
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发表时间：
2019
影响因子：
1.3
通讯作者：
Yasumasa Nishiura and Takashi Teramoto
中科院分区：
文献类型：
--
作者：
Peter van Heijster;Chao-Nien Chen;Yasumasa Nishiura and Takashi Teramoto
我们分析了具有小跳跃型非均匀性的奇摄动三分量FitzHugh-Nagumo模型的钉扎锋和脉冲解。我们得到明确的条件，这些类型的钉扎解决方案的存在性和稳定性相结合的几何奇异摄动技术和作用泛函方法。最值得注意的是，在某些参数制度，我们可以明确地计算钉扎距离的局部化解决方案的缺陷。
We analyse pinned front and pulse solutions in a singularly perturbed three-component FitzHugh–Nagumo model with a small jump-type heterogeneity. We derive explicit conditions for the existence and stability of these type of pinned solutions by combining geometric singular perturbation techniques and an action functional approach. Most notably, in certain parameter regimes we can explicitly compute the pinning distance of a localised solution to the defect.