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Paper   IPM / M / 12831
School of Mathematics
  Title:   Symmetric bursting behaviors in the generalized FitzHugh-Nagumo model
1.  A. H. Abbasian
2.  H. Fallah (Joint with M. R. Razvan)
  Status:   Published
  Journal: Biol. Cybern.
  Vol.:  107
  Year:  2013
  Pages:   465-676
  Supported by:  IPM
In the current paper, we have investigated the generalized FitzHugh–Nagumo model. We have shown that symmetric bursting behaviors of different types could be observed in this model with an appropriate recovery term. A modified version of this system is used to construct bursting activities. Furthermore, we have shown some numerical examples of delayed Hopf bifurcation and canard phenomenon in the symmetric bursting of super-Hopf/homoclinic type near its super-Hopf and homoclinic bifurcations, respectively.

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