On non-linear dynamics and control designs applied to the ideal and non-ideal variants of the Fitzhugh-Nagumo (FN) mathematical model
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Data
2009-03-01
Autores
Chavarette, Fábio Roberto
Balthazar, José Manoel [UNESP]
Peruzzi, Nelson José [UNESP]
Rafikov, Marat
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier B.V.
Resumo
The Fitzhugh-Nagumo (FH) mathematical model is considered a simplification of the Hodgkin-Huxley (HH) model. This paper analyzes the non-linear dynamics of the Fitzhugh-Nagumo (FN) mathematical model, and still presents some modifications in the governing equations of the system in order to transform it into it non-ideal one (taking into account that all energy Source has limited power supply). We also developed all optimal linear control design and used Sinhas's theory for the membrane's action potential in order to stabilize the variation of this potential. (C) 2007 Elsevier B.V. All rights reserved.
Descrição
Palavras-chave
Non-linear dynamics, Fitzhugh-Nagumo model, L-F transformation
Como citar
Communications In Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., v. 14, n. 3, p. 892-905, 2009.