On non-linear dynamics and control designs applied to the ideal and non-ideal variants of the Fitzhugh-Nagumo (FN) mathematical model
| Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
|---|---|
| Data(s) |
30/09/2013
20/05/2014
30/09/2013
20/05/2014
01/03/2009
|
| Resumo |
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) 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. |
| Formato |
892-905 |
| Identificador |
http://dx.doi.org/10.1016/j.cnsns.2007.10.016 Communications In Nonlinear Science and Numerical Simulation. Amsterdam: Elsevier B.V., v. 14, n. 3, p. 892-905, 2009. 1007-5704 http://hdl.handle.net/11449/24853 10.1016/j.cnsns.2007.10.016 WOS:000260280100023 |
| Idioma(s) |
eng |
| Publicador |
Elsevier B.V. |
| Relação |
Communications in Nonlinear Science and Numerical Simulation |
| Direitos |
closedAccess |
| Palavras-Chave | #Non-linear dynamics #Fitzhugh-Nagumo model #L-F transformation |
| Tipo |
info:eu-repo/semantics/article |
