Spiking and bursting of a fractional order of the modified FitzHugh-Nagumo neuron model
- Авторы: Alidousti J.1, Ghaziani R.1
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Учреждения:
- Department of Applied Mathematics
- Выпуск: Том 9, № 3 (2017)
- Страницы: 390-403
- Раздел: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/201789
- DOI: https://doi.org/10.1134/S2070048217030036
- ID: 201789
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Аннотация
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.
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Об авторах
J. Alidousti
Department of Applied Mathematics
Автор, ответственный за переписку.
Email: javad.alidousti@stu.sku.ac.ir
Иран, Shahrekord
R. Ghaziani
Department of Applied Mathematics
Email: javad.alidousti@stu.sku.ac.ir
Иран, Shahrekord