Affiliation:
1. State University of São Paulo at Rio Claro
2. State University of São Paulo at Jaboticabal
3. Univ Estadual Paulista
4. State University of Campinas
Abstract
The Fitzhugh-Nagumo (fn) mathematical model characterizes the action potential of the
membrane. The dynamics of the Fitzhugh-Nagumo model have been extensively studied both with
a view to their biological implications and as a test bed for numerical methods, which can be
applied to more complex models. This paper deals with the dynamics in the (FH) model. Here, the
dynamics are analyzed, qualitatively, through the stability diagrams to the action potential of the
membrane. Furthermore, we also analyze quantitatively the problem through the evaluation of
Floquet multipliers. Finally, the nonlinear periodic problem is controlled, based on the Chebyshev
polynomial expansion, the Picard iterative method and on Lyapunov-Floquet transformation (L-F
transformation).
Publisher
Trans Tech Publications, Ltd.
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