Spiking and bursting of a fractional order of the modified FitzHugh-Nagumo neuron model

被引：35

作者：

Alidousti J. ^{[1
]}

Ghaziani R.K. ^{[1
]}

机构：

[1] Department of Applied Mathematics, Shahrekord University, Shahrekord

来源：

Mathematical Models and Computer Simulations | 2017年 / 9卷 / 3期

关键词：

bifurcation; bursting; fast-slow; FitzHugh-Nagumo model; fractional order;

D O I：

10.1134/S2070048217030036

中图分类号：

学科分类号：

摘要：

This paper reports bursting behavior and related bifurcations in a fractional order FitzHugh-Nagumo neuron model, by adding sub fast-slow system. We classify different bursters of the system consisting fold/Hopf via a fold/fold hysteresis loop, homoclinic/homolininc cycle-cycle, fold/homoclinic, homoclinic/Hopf via homoclinic/fold hysteresis loop. We determine stability and dynamical behaviors of the equilibria of the system by numerical simulations. © 2017, Pleiades Publishing, Ltd.

引用

页码：390 / 403

页数：13

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