Spiking and bursting of a fractional order of the modified FitzHugh-Nagumo neuron model
- Authors: Alidousti J.1, Ghaziani R.K.1
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Affiliations:
- Department of Applied Mathematics
- Issue: Vol 9, No 3 (2017)
- Pages: 390-403
- Section: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/201789
- DOI: https://doi.org/10.1134/S2070048217030036
- ID: 201789
Cite item
Abstract
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.
Keywords
About the authors
J. Alidousti
Department of Applied Mathematics
Author for correspondence.
Email: javad.alidousti@stu.sku.ac.ir
Iran, Islamic Republic of, Shahrekord
R. Khoshsiar Ghaziani
Department of Applied Mathematics
Email: javad.alidousti@stu.sku.ac.ir
Iran, Islamic Republic of, Shahrekord