Limit cycles by FEM for a one-parameter dynamical system associated to the Luo-Rudy I model
Numerical Analysis
2024-05-03 v1 Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.1110.4307,
title = {Limit cycles by FEM for a one-parameter dynamical system associated to the Luo-Rudy I model},
author = {Cătălin Liviu Bichir and Adelina Georgescu and Bogdan Amuzescu and Gheorghe Nistor and Marin Popescu and Maria-Luiza Flonta and Alexandru Dan Corlan and Istvan Svab},
journal= {arXiv preprint arXiv:1110.4307},
year = {2024}
}
Comments
Presented at the 18th Conference on Applied and Industrial Mathematics - CAIM 2010, Ia\c{s}i, Romania, October 14-17, 2010; http://www.romai.ro, http://rj.romai.ro