Spiking and bursting of a fractional order of the modified FitzHugh-Nagumo neuron model
- Авторлар: Alidousti J.1, Ghaziani R.1
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Мекемелер:
- Department of Applied Mathematics
- Шығарылым: Том 9, № 3 (2017)
- Беттер: 390-403
- Бөлім: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/201789
- DOI: https://doi.org/10.1134/S2070048217030036
- ID: 201789
Дәйексөз келтіру
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.
Негізгі сөздер
Авторлар туралы
J. Alidousti
Department of Applied Mathematics
Хат алмасуға жауапты Автор.
Email: javad.alidousti@stu.sku.ac.ir
Иран, Shahrekord
R. Ghaziani
Department of Applied Mathematics
Email: javad.alidousti@stu.sku.ac.ir
Иран, Shahrekord