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Symmetric bursting behaviors in the generalized FitzHugh-Nagumo model

Abbasian, A. H ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1007/s00422-013-0559-1
  3. Publisher: 2013
  4. Abstract:
  5. 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
  6. Keywords:
  7. Bifurcation ; Canard phenomenon ; Delayed Hopf bifurcation ; FitzHugh-Nagumo model ; Symmetric fold/super-Hopf bursting ; Bursting activity ; Homoclinic bifurcations ; Symmetric super-Hopf/homoclinic bursting ; Bifurcation (mathematics) ; Computer science ; Cybernetics ; Hopf bifurcation ; Computer simulation ; Human ; Movement (physiology) ; Theoretical model ; Vision ; Humans ; Models, Theoretical ; Movement ; Visual Perception
  8. Source: Biological Cybernetics ; Volume 107, Issue 4 , 2013 , Pages 465-476 ; 03401200 (ISSN)
  9. URL: http://link.springer.com/article/10.1007%2Fs00422-013-0559-1