Symmetric bursting behaviors in the generalized FitzHugh–Nagumo model

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. Furtherm...

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Bibliographic Details
Published in:Biological cybernetics 2013-08, Vol.107 (4), p.465-476
Main Authors: Abbasian, A. H., Fallah, H., Razvan, M. R.
Format: Article
Language:English
Subjects:
Bifurcations
Bioinformatics
Biological
Biological and medical sciences
Biomedical and Life Sciences
Biomedicine
Biophysics
Bursting
Complex Systems
Computer Appl. in Life Sciences
Computer Simulation
Construction
Cybernetics
Fundamental and applied biological sciences. Psychology
Heart
Hopf bifurcation
Humans
Mathematical models
Models, Theoretical
Movement
Neurobiology
Neurons
Neurosciences
Original Paper
Recovery
Vertebrates: cardiovascular system
Visual Perception
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Summary: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.
ISSN:0340-1200
1432-0770
DOI:10.1007/s00422-013-0559-1