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

  • J. AlidoustiEmail author
  • R. Khoshsiar Ghaziani
Article

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 

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© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Department of Applied MathematicsShahrekord UniversityShahrekordIran

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