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Matematicheskoe modelirovanie, 2017, Volume 29, Number 3, paper published in the English version journal (Mi mm4085)  
This article is cited in 32 scientific papers (total in 32 papers)

Papers published in the English version of the journal

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

J. Alidousti, R. Khoshsiar Ghaziani

Department of Applied Mathematics, Shahrekord University, Shahrekord, Iran
Citations (32)
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: fractional order bifurcation FitzHugh–Nagumo model fast-slow bursting.
Received: 17.10.2016
English version:
Mathematical Models and Computer Simulations, 2017, Volume 9, Issue 3, Pages 390–403
DOI: https://doi.org/10.1134/S2070048217030036
Document Type: Article
Language: English
Citation: J. Alidousti, R. Khoshsiar Ghaziani, “Spiking and bursting of a fractional order of the modified FitzHugh–Nagumo neuron model”, Math. Models Comput. Simul., 9:3 (2017), 390–403
Citation in format AMSBIB
\Bibitem{AliKho17}
\by J.~Alidousti, R.~Khoshsiar Ghaziani
\paper Spiking and bursting of a fractional order of the modified FitzHugh--Nagumo neuron model
\jour Math. Models Comput. Simul.
\yr 2017
\vol 9
\issue 3
\pages 390--403
\mathnet{http://mi.mathnet.ru/mm4085}
\crossref{https://doi.org/10.1134/S2070048217030036}
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    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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