%0 Journal Article
%T Limit cycles by FEM for a one - parameter dynamical system associated to the Luo - Rudy I model
%A C£¿t£¿lin Liviu Bichir
%A Adelina Georgescu
%A Bogdan Amuzescu
%A Gheorghe Nistor
%A Marin Popescu
%A Maria-Luiza Flonta
%A Alexandru Dan Corlan
%A Istvan Svab
%J Mathematics
%D 2011
%I arXiv
%X An one - parameter dynamical system is associated to the mathematical problem governing the membrane excitability of a ventricular cardiomyocyte, according to the Luo-Rudy I model. Limit cycles are described by the solutions of an extended system. A finite element method time approximation (FEM) is used in order to formulate the approximate problem. Starting from a Hopf bifurcation point, approximate limit cycles are obtained, step by step, using an arc-length-continuation method and Newton's method. Some numerical results are presented.
%U http://arxiv.org/abs/1110.4307v1